PUMA publications for /user/mathematik/pn4https://puma.ub.uni-stuttgart.de/user/mathematik/pn4PUMA RSS feed for /user/mathematik/pn42024-03-29T03:38:35+01:00Gain-Scheduling Controller Synthesis for Networked Systems with Full Block Scalingshttps://puma.ub.uni-stuttgart.de/bibtex/2baa049b94d11f3447baab74480c20581/mathematikmathematik2023-02-24T09:02:34+01:00from:carsten.scherer pn4 prePrint EXC2075 imng <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christian A. Rösinger" itemprop="url" href="/person/12cb36c3f7b6121da4d960c8ee524967d/author/0"><span itemprop="name">C. Rösinger</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Carsten W. Scherer" itemprop="url" href="/person/12cb36c3f7b6121da4d960c8ee524967d/author/1"><span itemprop="name">C. Scherer</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"> </span>(<em><span>October 2022<meta content="October 2022" itemprop="datePublished"/></span></em>)</span>Fri Feb 24 09:02:34 CET 2023octGain-Scheduling Controller Synthesis for Networked Systems with Full Block Scalings2022from:carsten.scherer pn4 prePrint EXC2075 imng This work presents a framework to synthesize structured gain-scheduled controllers for structured plants that are affected by time-varying parametric scheduling blocks. Using a so-called lifting approach, we are able to handle several structured gain-scheduling problems arising from a nested inner and outer loop configuration with partial or full dependence on the scheduling block. Our resulting design conditions are formulated in terms of convex linear matrix inequalities and permit to handle multiple performance objectives.Time-varying Zames–Falb multipliers for LTI Systems are superfluoushttps://puma.ub.uni-stuttgart.de/bibtex/283d7843395a449f6201326f3ceb18bf3/mathematikmathematik2023-02-24T09:02:34+01:00from:carsten.scherer pn4 peerReviewed EXC2075 imng <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Andrey Kharitenko" itemprop="url" href="/person/1450062c57dd536f97fc5e0dc55d02c7d/author/0"><span itemprop="name">A. Kharitenko</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Carsten Scherer" itemprop="url" href="/person/1450062c57dd536f97fc5e0dc55d02c7d/author/1"><span itemprop="name">C. Scherer</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Automatica</span>, </em> </span>(<em><span>January 2023<meta content="January 2023" itemprop="datePublished"/></span></em>)</span>Fri Feb 24 09:02:34 CET 2023Automaticajan110577Time-varying Zames{\textendash}Falb multipliers for {LTI} Systems are superfluous1472023from:carsten.scherer pn4 peerReviewed EXC2075 imng Learning-enhanced robust controller synthesis with rigorous statistical and control-theoretic guaranteeshttps://puma.ub.uni-stuttgart.de/bibtex/2dadf7256d6d249ad407f613f73b02a09/mathematikmathematik2023-02-24T09:02:34+01:00from:carsten.scherer pn4 peerReviewed EXC2075 imng <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christian Fiedler" itemprop="url" href="/person/143a93d9b959414f2bdfa6b14df1fd2dd/author/0"><span itemprop="name">C. Fiedler</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Carsten W. Scherer" itemprop="url" href="/person/143a93d9b959414f2bdfa6b14df1fd2dd/author/1"><span itemprop="name">C. Scherer</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Sebastian Trimpe" itemprop="url" href="/person/143a93d9b959414f2bdfa6b14df1fd2dd/author/2"><span itemprop="name">S. Trimpe</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/Book" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="name">60th IEEE Conf. Decision and Control</span>, </em></span><em>page <span itemprop="pagination">5122-5129</span>. </em>(<em><span>2021<meta content="2021" itemprop="datePublished"/></span></em>)</span>Fri Feb 24 09:02:34 CET 202360th IEEE Conf. Decision and Control5122-5129Learning-enhanced robust controller synthesis with rigorous statistical and control-theoretic guarantees2021from:carsten.scherer pn4 peerReviewed EXC2075 imng The combination of machine learning with control offers many opportunities, in particular for robust control. However, due to strong safety and reliability requirements in many real-world applications, providing rigorous statistical and control-theoretic guarantees is of utmost importance, yet difficult to achieve for learning-based control schemes. We present a general framework for learning-enhanced robust control that allows for systematic integration of prior engineering knowledge, is fully compatible with modern robust control and still comes with rigorous and practically meaningful guarantees. Building on the established Linear Fractional Representation and Integral Quadratic Constraints framework, we integrate Gaussian Process Regression as a learning component and state-of-the-art robust controller synthesis. In a concrete robust control example, our approach is demonstrated to yield improved performance with more data, while guarantees are maintained throughout.Learning Functions and Uncertainty Sets Using Geometrically Constrained Kernel Regressionhttps://puma.ub.uni-stuttgart.de/bibtex/2ba3ad8f5a285c0c346d2a44759510982/mathematikmathematik2023-02-24T09:02:34+01:00from:carsten.scherer pn4 peerReviewed EXC2075 imng <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christian Fiedler" itemprop="url" href="/person/1eed3030b5f346240e3e2ca6ef93c78e7/author/0"><span itemprop="name">C. Fiedler</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Carsten W. Scherer" itemprop="url" href="/person/1eed3030b5f346240e3e2ca6ef93c78e7/author/1"><span itemprop="name">C. Scherer</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Sebastian Trimpe" itemprop="url" href="/person/1eed3030b5f346240e3e2ca6ef93c78e7/author/2"><span itemprop="name">S. Trimpe</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/Book" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="name">61st IEEE Conf. Decision and Control</span>, </em></span><em><span itemprop="publisher">IEEE</span>, </em>(<em><span>December 2022<meta content="December 2022" itemprop="datePublished"/></span></em>)</span>Fri Feb 24 09:02:34 CET 202361st IEEE Conf. Decision and ControldecLearning Functions and Uncertainty Sets Using Geometrically Constrained Kernel Regression2022from:carsten.scherer pn4 peerReviewed EXC2075 imng IQC Based Analysis and Estimator Design for Discrete-Time Systems Affected by Impulsive Uncertaintieshttps://puma.ub.uni-stuttgart.de/bibtex/246c5431b9a8918f5f3c5443afd3d19a1/mathematikmathematik2023-02-24T09:02:34+01:00from:carsten.scherer pn4 prePrint EXC2075 imng <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Tobias Holicki" itemprop="url" href="/person/12abe3505d644f4618ec5f859b07dcb10/author/0"><span itemprop="name">T. Holicki</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Carsten W. Scherer" itemprop="url" href="/person/12abe3505d644f4618ec5f859b07dcb10/author/1"><span itemprop="name">C. Scherer</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"> </span>(<em><span>December 2022<meta content="December 2022" itemprop="datePublished"/></span></em>)</span>Fri Feb 24 09:02:34 CET 2023decIQC Based Analysis and Estimator Design for Discrete-Time Systems Affected by Impulsive Uncertainties2022from:carsten.scherer pn4 prePrint EXC2075 imng We propose novel quadratic performance tests for linear discrete-time impulsive systems based on viewing these systems as feedback interconnections of some non-impulsive linear system with an impulsive operator. In order to systematically analyze such interconnections, we employ the framework of integral quadratic constraints and propose novel constraints of this kind for capturing the behavior of the involved impulsive operator. As a major benefit, the modularity of this framework permits seamless extensions to interconnections affected by heterogeneous uncertainties in a straightforward fashion. This contrasts with alternative approaches which are based on capturing the system's impulsive behavior by means of a clock. Building upon the developed analysis criteria, we characterize the existence of non-impulsive estimators for such impulsive interconnections in a lossless fashion and in terms of linear matrix inequalities. Finally, our approach is illustrated by means of several numerical examples.Combining Prior Knowledge and Data for Robust Controller Designhttps://puma.ub.uni-stuttgart.de/bibtex/2612ac72ceacafcea477ec239b6515baf/mathematikmathematik2023-02-24T09:02:34+01:00from:carsten.scherer pn4 peerReviewed EXC2075 imng <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Julian Berberich" itemprop="url" href="/person/153f7923383cf563af05841b7ab83844e/author/0"><span itemprop="name">J. Berberich</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Carsten W. Scherer" itemprop="url" href="/person/153f7923383cf563af05841b7ab83844e/author/1"><span itemprop="name">C. Scherer</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Frank Allgower" itemprop="url" href="/person/153f7923383cf563af05841b7ab83844e/author/2"><span itemprop="name">F. Allgower</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">IEEE Transactions on Automatic Control</span>, </em> </span>(<em><span>2022<meta content="2022" itemprop="datePublished"/></span></em>)</span>Fri Feb 24 09:02:34 CET 2023{IEEE} Transactions on Automatic Control1--16Combining Prior Knowledge and Data for Robust Controller Design2022from:carsten.scherer pn4 peerReviewed EXC2075 imng Dissipativity and Integral Quadratic Constraints, Tailored computational robustness tests for complex interconnectionshttps://puma.ub.uni-stuttgart.de/bibtex/28ca3017abe8623786d56edcbb7ae8b97/mathematikmathematik2023-02-24T09:02:34+01:00from:carsten.scherer pn4 peerReviewed EXC2075 imng <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Carsten Scherer" itemprop="url" href="/person/128cbb2cf325d693fb90b3c813383bd3c/author/0"><span itemprop="name">C. Scherer</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">IEEE Control Systems Magazine</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">42 </span></span>(<span itemprop="issueNumber">3</span>):
<span itemprop="pagination">115-139</span></em> </span>(<em><span>2022<meta content="2022" itemprop="datePublished"/></span></em>)</span>Fri Feb 24 09:02:34 CET 2023IEEE Control Systems Magazine3115-139Dissipativity and Integral Quadratic Constraints, Tailored computational robustness tests for complex interconnections422022from:carsten.scherer pn4 peerReviewed EXC2075 imng Robust and structure exploiting optimisation algorithms: An integral quadratic constraint approachhttps://puma.ub.uni-stuttgart.de/bibtex/287c056c2bb0236604172f97dc72a7d37/mathematikmathematik2023-02-24T09:02:33+01:00from:carsten.scherer PN4 peerReviewed EXC2075 IMNG <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Simon Michalowsky" itemprop="url" href="/person/1ad7424ae262ec7c1ffbfafb1dd198d09/author/0"><span itemprop="name">S. Michalowsky</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Carsten Scherer" itemprop="url" href="/person/1ad7424ae262ec7c1ffbfafb1dd198d09/author/1"><span itemprop="name">C. Scherer</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christian Ebenbauer" itemprop="url" href="/person/1ad7424ae262ec7c1ffbfafb1dd198d09/author/2"><span itemprop="name">C. Ebenbauer</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">International Journal of Control</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">94 </span></span>(<span itemprop="issueNumber">11</span>):
<span itemprop="pagination">2956-2979</span></em> </span>(<em><span>2021<meta content="2021" itemprop="datePublished"/></span></em>)</span>Fri Feb 24 09:02:33 CET 2023International Journal of Control112956-2979Robust and structure exploiting optimisation algorithms: {A}n integral quadratic constraint approach942021from:carsten.scherer PN4 peerReviewed EXC2075 IMNG Dissipativity, Convexity and Tight O\textquotesingleShea-Zames-Falb Multipliers for Safety Guaranteeshttps://puma.ub.uni-stuttgart.de/bibtex/2e8afb515e533358c3be5d7905ece2459/mathematikmathematik2023-02-24T09:02:33+01:00from:carsten.scherer pn4 peerReviewed EXC2075 imng <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Carsten W. Scherer" itemprop="url" href="/person/1f529bd1d49283515a82ec6cf8461eef0/author/0"><span itemprop="name">C. Scherer</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">IFAC-PapersOnLine</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">55 </span></span>(<span itemprop="issueNumber">30</span>):
<span itemprop="pagination">150--155</span></em> </span>(<em><span>2022<meta content="2022" itemprop="datePublished"/></span></em>)</span>Fri Feb 24 09:02:33 CET 2023{IFAC}-{PapersOnLine}30150--155Dissipativity, Convexity and Tight O{\textquotesingle}Shea-Zames-Falb Multipliers for Safety Guarantees552022from:carsten.scherer pn4 peerReviewed EXC2075 imng Convex Synthesis of Accelerated Gradient Algorithmshttps://puma.ub.uni-stuttgart.de/bibtex/299f778a1f2ca0e057ec43266304d6429/mathematikmathematik2023-02-24T09:02:33+01:00from:carsten.scherer pn4 peerReviewed EXC2075 imng <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Carsten Scherer" itemprop="url" href="/person/1998a3878b285a9eba36a03575e2d26e1/author/0"><span itemprop="name">C. Scherer</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christian Ebenbauer" itemprop="url" href="/person/1998a3878b285a9eba36a03575e2d26e1/author/1"><span itemprop="name">C. Ebenbauer</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">SIAM Journal on Control and Optimization</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">59 </span></span>(<span itemprop="issueNumber">6</span>):
<span itemprop="pagination">4615-4645</span></em> </span>(<em><span>2021<meta content="2021" itemprop="datePublished"/></span></em>)</span>Fri Feb 24 09:02:33 CET 2023SIAM Journal on Control and Optimization64615-4645Convex Synthesis of Accelerated Gradient Algorithms592021from:carsten.scherer pn4 peerReviewed EXC2075 imng We present a convex solution for the design of generalized accelerated gradient algorithms for strongly convex objective functions with Lipschitz continuous gradients. We utilize integral quadratic constraints and the Youla parameterization from robust control theory to formulate a solution of the algorithm design problem as a convex semidefinite program. We establish explicit formulas for the optimal convergence rates and extend the proposed synthesis solution to extremum control problems.Input-Output-Data-Enhanced Robust Analysis via Liftinghttps://puma.ub.uni-stuttgart.de/bibtex/2fe8c8f8cfc38ba0f617df3d2ed33006c/mathematikmathematik2023-02-24T09:02:33+01:00from:carsten.scherer pn4 prePrint EXC2075 imng <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Tobias Holicki" itemprop="url" href="/person/12382f883fbdf0be50d4c5257cc15277a/author/0"><span itemprop="name">T. Holicki</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Carsten W. Scherer" itemprop="url" href="/person/12382f883fbdf0be50d4c5257cc15277a/author/1"><span itemprop="name">C. Scherer</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"> </span>(<em><span>November 2022<meta content="November 2022" itemprop="datePublished"/></span></em>)</span>Fri Feb 24 09:02:33 CET 2023novInput-Output-Data-Enhanced Robust Analysis via Lifting2022from:carsten.scherer pn4 prePrint EXC2075 imng Starting from a linear fractional representation of a linear system affected by constant parametric uncertainties, we demonstrate how to enhance standard robust analysis tests by taking available (noisy) input-output data of the uncertain system into account. Our approach relies on a lifting of the system and on the construction of data-dependent multipliers. It leads to a test in terms of linear matrix inequalities which guarantees stability and performance for all systems compatible with the observed data if it is in the affirmative. In contrast to many other data-based approaches, prior physical knowledge is included at the outset due to the underlying linear fractional representation.Stabilizing Model Predictive Control Synthesis using Integral Quadratic Constraints and Full-Block Multipliershttps://puma.ub.uni-stuttgart.de/bibtex/2f1096b0f711d5365476ef359c294bf13/mathematikmathematik2023-02-24T09:02:33+01:00from:carsten.scherer pn4 prePrint EXC2075 imng <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Marcelo M. Morato" itemprop="url" href="/person/189d764a312061cf6eea415ca626da753/author/0"><span itemprop="name">M. Morato</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Tobias Holicki" itemprop="url" href="/person/189d764a312061cf6eea415ca626da753/author/1"><span itemprop="name">T. Holicki</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Carsten W. Scherer" itemprop="url" href="/person/189d764a312061cf6eea415ca626da753/author/2"><span itemprop="name">C. Scherer</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"> </span>(<em><span>2023<meta content="2023" itemprop="datePublished"/></span></em>)</span>Fri Feb 24 09:02:33 CET 2023Stabilizing Model Predictive Control Synthesis using Integral Quadratic Constraints and Full-Block Multipliers2023from:carsten.scherer pn4 prePrint EXC2075 imng Robust Differential Dynamic Programminghttps://puma.ub.uni-stuttgart.de/bibtex/2fc55e4512a9dd6404d7711aa4dabc28d/mathematikmathematik2023-02-24T09:02:33+01:00from:carsten.scherer pn4 peerReviewed EXC2075 imng <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Dennis Gramlich" itemprop="url" href="/person/156204ce050cbe8be66baef9bb6a6ab50/author/0"><span itemprop="name">D. Gramlich</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Carsten W. Scherer" itemprop="url" href="/person/156204ce050cbe8be66baef9bb6a6ab50/author/1"><span itemprop="name">C. Scherer</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christian Ebenbauer" itemprop="url" href="/person/156204ce050cbe8be66baef9bb6a6ab50/author/2"><span itemprop="name">C. Ebenbauer</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/Book" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="name">61st IEEE Conf. Decision and Control</span>, </em></span>(<em><span>2022<meta content="2022" itemprop="datePublished"/></span></em>)</span>Fri Feb 24 09:02:33 CET 202361st IEEE Conf. Decision and ControlRobust Differential Dynamic Programming2022from:carsten.scherer pn4 peerReviewed EXC2075 imng Synthesis of Accelerated Gradient Algorithms for Optimization and Saddle Point Problems using Lyapunov functionshttps://puma.ub.uni-stuttgart.de/bibtex/29f9e3046f56c3481e078bf0606f28226/mathematikmathematik2023-02-24T09:02:33+01:00from:carsten.scherer pn4 peerReviewed EXC2075 imng <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Dennis Gramlich" itemprop="url" href="/person/15b4472847c14de83890cec5450738518/author/0"><span itemprop="name">D. Gramlich</span></a></span>, </span><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christian Ebenbauer" itemprop="url" href="/person/15b4472847c14de83890cec5450738518/author/1"><span itemprop="name">C. Ebenbauer</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Carsten W. Scherer" itemprop="url" href="/person/15b4472847c14de83890cec5450738518/author/2"><span itemprop="name">C. Scherer</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Syst. Control Lett.</span>, </em> </span>(<em><span>2022<meta content="2022" itemprop="datePublished"/></span></em>)</span>Fri Feb 24 09:02:33 CET 2023Syst. Control Lett.Synthesis of Accelerated Gradient Algorithms for Optimization and Saddle Point Problems using Lyapunov functions1652022from:carsten.scherer pn4 peerReviewed EXC2075 imng This paper considers the problem of designing accelerated gradient-based algorithms for optimization and saddle-point problems. The class of objective functions is defined by a generalized sector condition. This class of functions contains strongly convex functions with Lipschitz gradients but also non-convex functions, which allows not only to address optimization problems but also saddle-point problems. The proposed design procedure relies on a suitable class of Lyapunov functions and on convex semi-definite programming. The proposed synthesis allows the design of algorithms that reach the performance of state-of-the-art accelerated gradient methods and beyond.On the exactness of a stability test for Lur'e systems with slope-restricted nonlinearitieshttps://puma.ub.uni-stuttgart.de/bibtex/2f612691f039e9422bf8b049130ba076b/mathematikmathematik2023-02-24T09:02:32+01:00from:carsten.scherer pn4 prePrint EXC2075 imng <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Andrey Kharitenko" itemprop="url" href="/person/12311ca64370b7bd2f9f2dcdbc28776f8/author/0"><span itemprop="name">A. Kharitenko</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Carsten W. Scherer" itemprop="url" href="/person/12311ca64370b7bd2f9f2dcdbc28776f8/author/1"><span itemprop="name">C. Scherer</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"> </span>(<em><span>October 2022<meta content="October 2022" itemprop="datePublished"/></span></em>)</span>Fri Feb 24 09:02:32 CET 2023octOn the exactness of a stability test for Lur'e systems with slope-restricted nonlinearities2022from:carsten.scherer pn4 prePrint EXC2075 imng In this note it is shown that the famous multiplier absolute stability test of R. O'Shea, G. Zames and P. Falb is necessary and sufficient if the set of Lur'e interconnections is lifted to a Kronecker structure and an explicit method to construct the destabilizing static nonlinearity is presented.Revisiting and Generalizing the Dual Iteration for Static and Robust Output-Feedback Synthesishttps://puma.ub.uni-stuttgart.de/bibtex/28a2b2e7226386a85fb270a2ac3c71ee3/mathematikmathematik2023-02-24T09:02:32+01:00from:carsten.scherer pn4 peerReviewed EXC2075 imng <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Tobias Holicki" itemprop="url" href="/person/1d86e26ffb4525174a4fd974709b24ef1/author/0"><span itemprop="name">T. Holicki</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Carsten W. Scherer" itemprop="url" href="/person/1d86e26ffb4525174a4fd974709b24ef1/author/1"><span itemprop="name">C. Scherer</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">Int. J. Robust Nonlin.</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">31 </span></span>(<span itemprop="issueNumber">11</span>):
<span itemprop="pagination">5427-5459</span></em> </span>(<em><span>2021<meta content="2021" itemprop="datePublished"/></span></em>)</span>Fri Feb 24 09:02:32 CET 2023Int. J. Robust Nonlin.115427-5459Revisiting and Generalizing the Dual Iteration for Static and Robust Output-Feedback Synthesis312021from:carsten.scherer pn4 peerReviewed EXC2075 imng The dual iteration was introduced in a conference paper in 1997 by Iwasaki as an iterative and heuristic procedure for the challenging and non-convex design of static output-feedback controllers. We recall in detail its essential ingredients and go beyond the work of Iwasaki by demonstrating that the framework of linear fractional representations allows for a seamless extension the dual iteration to output-feedback designs of tremendous practical relevance such as the design of robust or robust gain-scheduled controllers. In the paper of Iwasaki the dual iteration is solely based on, and motivated by algebraic manipulations resulting from the elimination lemma. We provide a novel control theoretic interpretation of the individual steps, which paves the way for further generalizations of the powerful scheme to situations where the elimination lemma is not applicable. Exemplary, we extend the dual iteration to the multi-objective design of static output-feedback H∞-controllers, which guarantee that the closed-loop poles are contained in an a priori specified generalized stability region. We demonstrate the approach with numerous numerical examples inspired from the literature.A Flexible Synthesis Framework of Structured Controllers for Networked Systemshttps://puma.ub.uni-stuttgart.de/bibtex/25e88afab15813774e79854675eb665ee/mathematikmathematik2023-02-24T08:22:19+01:00from:carsten.scherer pn4 peerReviewed EXC2075 imng <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Christian A. Rösinger" itemprop="url" href="/person/1ee71c449f22d6d7323d814866fd90664/author/0"><span itemprop="name">C. Rösinger</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="Carsten W. Scherer" itemprop="url" href="/person/1ee71c449f22d6d7323d814866fd90664/author/1"><span itemprop="name">C. Scherer</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/PublicationIssue" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="journal">IEEE Trans. Control Netw. Syst.</span>, </em> <em><span itemtype="http://schema.org/PublicationVolume" itemscope="itemscope" itemprop="isPartOf"><span itemprop="volumeNumber">7 </span></span>(<span itemprop="issueNumber">1</span>):
<span itemprop="pagination">6-18</span></em> </span>(<em><span>2020<meta content="2020" itemprop="datePublished"/></span></em>)</span>Fri Feb 24 08:22:19 CET 2023IEEE Trans. Control Netw. Syst.16-18A Flexible Synthesis Framework of Structured Controllers for Networked Systems72020from:carsten.scherer pn4 peerReviewed EXC2075 imng A Dynamic S-Procedure for Dynamic Uncertaintieshttps://puma.ub.uni-stuttgart.de/bibtex/26794e9709e4f03fe6741eff1e116878c/mathematikmathematik2023-02-06T14:23:17+01:00from:tobiasholicki pn4 peerreviewed imng exc2075 <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="T. Holicki" itemprop="url" href="/person/1dbe410c24b30bafa8c2e90c815365fb4/author/0"><span itemprop="name">T. Holicki</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="C. W. Scherer" itemprop="url" href="/person/1dbe410c24b30bafa8c2e90c815365fb4/author/1"><span itemprop="name">C. Scherer</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/Book" itemscope="itemscope" itemprop="isPartOf"></span><em> 55, </em><em>page <span itemprop="pagination">103-108</span>. </em>(<em><span>2022<meta content="2022" itemprop="datePublished"/></span></em>)</span>Mon Feb 06 14:23:17 CET 2023{IFAC}-{P}apers{O}nline25103-108A Dynamic S-Procedure for Dynamic Uncertainties552022from:tobiasholicki pn4 peerreviewed imng exc2075 We show how to compose robust stability tests for uncertain systems modeled as linear fractional representations and affected by various types of dynamic uncertainties. Our results are formulated in terms of linear matrix inequalities and rest on the recently established notion of finite-horizon integral quadratic constraints with a terminal cost. The construction of such constraints is motivated by an unconventional application of the S-procedure in the frequency domain with dynamic Lagrange multipliers. Our technical contribution reveals how this construction can be performed by dissipativity arguments in the time-domain and in a lossless fashion. This opens the way for generalizations to time-varying or hybrid systems.A Complete Analysis and Design Framework for Linear Impulsive and Related Hybrid Systemshttps://puma.ub.uni-stuttgart.de/bibtex/2bb0bda50d7935d6609a447a74ccd1282/mathematikmathematik2023-02-06T14:22:01+01:00from:tobiasholicki pn4 imng exc2075 <meta content="thesis" itemprop="educationalUse"/><span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="T. Holicki" itemprop="url" href="/person/13733059842f478e9cf76bc6b11fde90f/author/0"><span itemprop="name">T. Holicki</span></a></span></span>. </span><span class="additional-entrytype-information"><em>University of Stuttgart, </em>(<em><span>2022<meta content="2022" itemprop="datePublished"/></span></em>)</span>Mon Feb 06 14:22:01 CET 2023A Complete Analysis and Design Framework for Linear Impulsive and Related Hybrid Systems2022from:tobiasholicki pn4 imng exc2075 We establish a framework for systematically analyzing and designing output-feedback controllers for linear impulsive and related hybrid systems that might even be affected by various types of uncertainties. In particular, the framework encompasses uncertain switched and sampled-data systems as well as networked systems with switching communication topologies. The framework is based on recently developed convex criteria involving a so-called clock for analyzing impulsive systems under dwell-time constraints. We elaborate on the extension of those criteria for dynamic output-feedback controller synthesis by means of convex optimization and generalize the so-called dual iteration to impulsive systems. The latter originally and still constitutes a promising heuristic procedure for the challenging and non-convex design of static output-feedback controllers for standard linear time-invariant systems. Moreover, for uncertain impulsive systems as modeled in terms of linear fractional representations, we generalize the nominal analysis criteria by providing novel robust analysis conditions based on a novel time-domain and clock-dependent formulation of integral quadratic constraints. Finally, by combining the insights on nominal synthesis and robust analysis, we are able to tackle challenging output-feedback designs of practical relevance, such as the design of gain-scheduled, robust or robust gain-scheduled controllers for impulsive systems. Most of the obtained analysis and synthesis conditions involve infinite-dimensional (differential) linear matrix inequalities which can be numerically solved by using relaxation methods based on, e.g., linear splines, B-splines or matrix sum-of-squares that we discuss as well.Algorithm Design and Extremum Control: Convex Synthesis due to Plant Multiplier Commutationhttps://puma.ub.uni-stuttgart.de/bibtex/292c1e04c8d8147cb735f9a491ec90bc0/mathematikmathematik2022-02-09T20:15:52+01:00myown from:tobiasholicki pn4 EXC2075 peerreviewed imng <span data-person-type="author" class="authorEditorList "><span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="T. Holicki" itemprop="url" href="/person/10d4bcef5834e1ce865f708187791380d/author/0"><span itemprop="name">T. Holicki</span></a></span>, </span> and <span><span itemtype="http://schema.org/Person" itemscope="itemscope" itemprop="author"><a title="C. W. Scherer" itemprop="url" href="/person/10d4bcef5834e1ce865f708187791380d/author/1"><span itemprop="name">C. Scherer</span></a></span></span>. </span><span class="additional-entrytype-information"><span itemtype="http://schema.org/Book" itemscope="itemscope" itemprop="isPartOf"><em><span itemprop="name">Proc. 60th IEEE Conf. Decision and Control</span>, </em></span><em>page <span itemprop="pagination">3249-3256</span>. </em>(<em><span>2021<meta content="2021" itemprop="datePublished"/></span></em>)</span>Wed Feb 09 20:15:52 CET 2022Proc. 60th IEEE Conf. Decision and Control3249-3256Algorithm Design and Extremum Control: Convex Synthesis due to Plant Multiplier Commutation2021myown from:tobiasholicki pn4 EXC2075 peerreviewed imng A novel convex state-space solution to the robust output-feedback synthesis problem based on dynamic integral quadratic constraints for a particular class of systems is
presented. Convexification rests upon the assumption that the control-to-uncertainty block in the generalized plant commutes with the off-diagonal block of the multiplier. We demonstrate that this commutation property is valid for several by themselves interesting concrete scenarios, such as in extremum control, a generalization of the convex design of first-order optimization algorithms involving filtered gradient evaluations.