{ "types" : { "Bookmark" : { "pluralLabel" : "Bookmarks" }, "Publication" : { "pluralLabel" : "Publications" }, "GoldStandardPublication" : { "pluralLabel" : "GoldStandardPublications" }, "GoldStandardBookmark" : { "pluralLabel" : "GoldStandardBookmarks" }, "Tag" : { "pluralLabel" : "Tags" }, "User" : { "pluralLabel" : "Users" }, "Group" : { "pluralLabel" : "Groups" }, "Sphere" : { "pluralLabel" : "Spheres" } }, "properties" : { "count" : { "valueType" : "number" }, "date" : { "valueType" : "date" }, "changeDate" : { "valueType" : "date" }, "url" : { "valueType" : "url" }, "id" : { "valueType" : "url" }, "tags" : { "valueType" : "item" }, "user" : { "valueType" : "item" } }, "items" : [ { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2b9e0ef26b3072dde1659125d18d60b7c/carsten.scherer", "tags" : [ "EXC310","approach","dependent","functions","imng","inequality","lyapunov","matrix","optimization","peerReviewed","pn4","programs","relaxations" ], "intraHash" : "b9e0ef26b3072dde1659125d18d60b7c", "interHash" : "65da870d0bca9e82e2d000989caf405c", "label" : "Robust $l_1$ performance analysis for linear systems with parametric uncertainties", "user" : "carsten.scherer", "description" : "", "date" : "2021-12-07 20:40:52", "changeDate" : "2021-12-07 19:40:52", "count" : 4, "pub-type": "article", "journal": "Int. J. Control", "year": "2008", "url": "https://doi.org/10.1080/00207170701730451", "author": [ "J. M. Rieber","C. W. Scherer","F. Allgower" ], "authors": [ {"first" : "J. M.", "last" : "Rieber"}, {"first" : "C. W.", "last" : "Scherer"}, {"first" : "F.", "last" : "Allgower"} ], "volume": "81","number": "5","pages": "851-864","abstract": "In this contribution, a computational approach for analysing the robust e.-gain (or the robust l(1) performance) of uncertain linear systems is developed. In particular, the system's state-space matrices may have a rational dependence on structured parametric time-invariant or time-varying uncertainties. The computation is based on robust semi-definite programming and provides a trade-off between accuracy and computational effort. A novel matrix inequality condition to determine the star-norm of discrete-time systems is derived as an auxiliary result.", "shorttitle" : "Robust l(1) performance analysis for linear systems with parametric uncertainties", "file" : "://000255553000012", "endnotereftype" : "Journal Article", "bibtexKey": "RieSch08a" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/250eb44f91950357cf988eb9394027e14/carsten.scherer", "tags" : [ "algorithms","bilinear","control","design","dynamic","feasibility","formulas","global","h-2","h-infinity","imng","inequalities","linear-systems","lmis","matrix","multiobjective","optimization","order","output-feedback","parameter","peerReviewed","robust","structured","synthesis","uncertainty" ], "intraHash" : "50eb44f91950357cf988eb9394027e14", "interHash" : "79b43995f394ecc9dbf6ddc0aa390ca5", "label" : "Robust output-feedback controller design via local BMI optimization", "user" : "carsten.scherer", "description" : "", "date" : "2021-12-07 20:40:52", "changeDate" : "2021-12-07 19:40:52", "count" : 4, "pub-type": "article", "journal": "Automatica", "year": "2004", "url": "https://doi.org/10.1016/j.automatica.2004.01.028", "author": [ "S. Kanev","C. W. Scherer","M. Verhaegen","B. De Schutter" ], "authors": [ {"first" : "S.", "last" : "Kanev"}, {"first" : "C. W.", "last" : "Scherer"}, {"first" : "M.", "last" : "Verhaegen"}, {"first" : "B.", "last" : "De Schutter"} ], "volume": "40","number": "7","pages": "1115-1127","abstract": "The problem of designing a globally optimal full-order output-feedback controller for polytopic uncertain systems is known to be a non-convex NP-hard optimization problem, that can be represented as a bilinear matrix inequality optimization problem for most design objectives. In this paper a new approach is proposed to the design of locally optimal controllers. It is iterative by nature, and starting from any initial feasible controller it performs local optimization over a suitably defined non-convex function at each iteration. The approach features the properties of computational efficiency, guaranteed convergence to a local optimum, and applicability to a very wide range of problems. Furthermore, a fast (but conservative) LMI-based procedure for computing an initially feasible controller is also presented. The complete approach is demonstrated on a model of one joint of a real-life space robotic manipulator. (C) 2004 Elsevier Ltd. All rights reserved.", "shorttitle" : "Robust output-feedback controller design via local BMI optimization", "file" : "://000221904200002", "issn" : "0005-1098", "endnotereftype" : "Journal Article", "bibtexKey": "KanSch04a" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/250eb44f91950357cf988eb9394027e14/mathematik", "tags" : [ "robust","multiobjective","synthesis","control","imng","feasibility","bilinear","h-infinity","inequalities","algorithms","formulas","linear-systems","global","h-2","matrix","uncertainty","output-feedback","from:carsten.scherer","design","optimization","parameter","peerReviewed","lmis","structured","dynamic","order" ], "intraHash" : "50eb44f91950357cf988eb9394027e14", "interHash" : "79b43995f394ecc9dbf6ddc0aa390ca5", "label" : "Robust output-feedback controller design via local BMI optimization", "user" : "mathematik", "description" : "", "date" : "2021-12-01 21:53:35", "changeDate" : "2024-03-12 10:23:32", "count" : 4, "pub-type": "article", "journal": "Automatica", "year": "2004", "url": "https://doi.org/10.1016/j.automatica.2004.01.028", "author": [ "S. Kanev","C. W. Scherer","M. Verhaegen","B. De Schutter" ], "authors": [ {"first" : "S.", "last" : "Kanev"}, {"first" : "C. W.", "last" : "Scherer"}, {"first" : "M.", "last" : "Verhaegen"}, {"first" : "B.", "last" : "De Schutter"} ], "volume": "40","number": "7","pages": "1115-1127","abstract": "The problem of designing a globally optimal full-order output-feedback controller for polytopic uncertain systems is known to be a non-convex NP-hard optimization problem, that can be represented as a bilinear matrix inequality optimization problem for most design objectives. In this paper a new approach is proposed to the design of locally optimal controllers. It is iterative by nature, and starting from any initial feasible controller it performs local optimization over a suitably defined non-convex function at each iteration. The approach features the properties of computational efficiency, guaranteed convergence to a local optimum, and applicability to a very wide range of problems. Furthermore, a fast (but conservative) LMI-based procedure for computing an initially feasible controller is also presented. The complete approach is demonstrated on a model of one joint of a real-life space robotic manipulator. (C) 2004 Elsevier Ltd. All rights reserved.", "shorttitle" : "Robust output-feedback controller design via local BMI optimization", "file" : "://000221904200002", "issn" : "0005-1098", "endnotereftype" : "Journal Article", "bibtexKey": "KanSch04a" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2b9e0ef26b3072dde1659125d18d60b7c/mathematik", "tags" : [ "approach","lyapunov","functions","relaxations","imng","matrix","inequality","from:carsten.scherer","EXC310","optimization","pn4","peerReviewed","programs","dependent" ], "intraHash" : "b9e0ef26b3072dde1659125d18d60b7c", "interHash" : "65da870d0bca9e82e2d000989caf405c", "label" : "Robust $l_1$ performance analysis for linear systems with parametric uncertainties", "user" : "mathematik", "description" : "", "date" : "2021-12-01 20:49:49", "changeDate" : "2024-03-12 10:23:53", "count" : 4, "pub-type": "article", "journal": "Int. J. Control", "year": "2008", "url": "https://doi.org/10.1080/00207170701730451", "author": [ "J. M. Rieber","C. W. Scherer","F. Allgower" ], "authors": [ {"first" : "J. M.", "last" : "Rieber"}, {"first" : "C. W.", "last" : "Scherer"}, {"first" : "F.", "last" : "Allgower"} ], "volume": "81","number": "5","pages": "851-864","abstract": "In this contribution, a computational approach for analysing the robust e.-gain (or the robust l(1) performance) of uncertain linear systems is developed. In particular, the system's state-space matrices may have a rational dependence on structured parametric time-invariant or time-varying uncertainties. The computation is based on robust semi-definite programming and provides a trade-off between accuracy and computational effort. A novel matrix inequality condition to determine the star-norm of discrete-time systems is derived as an auxiliary result.", "shorttitle" : "Robust l(1) performance analysis for linear systems with parametric uncertainties", "file" : "://000255553000012", "issn" : "0020-7179", "endnotereftype" : "Journal Article", "bibtexKey": "RieSch08a" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/2798e2e62bd35092139fcd4b84f7ec2e5/mathematik", "tags" : [ "linear","robust","quadratic","rates","control","imng","rejection","pn4","parameters","disturbance","inequalities","stabilization","convexity","matrix","constraints","feedback","integral","output","systems","(lmis)","from:tobiasholicki","EXC310","optimization","(iqcs)","peerReviewed" ], "intraHash" : "798e2e62bd35092139fcd4b84f7ec2e5", "interHash" : "935b7ffc617413001028ab65b89dfb4d", "label" : "Robust output feedback control against disturbance filter uncertainty described by dynamic integral quadratic constraints", "user" : "mathematik", "description" : "", "date" : "2021-06-16 14:14:26", "changeDate" : "2024-03-12 10:23:40", "count" : 7, "pub-type": "article", "journal": "Int. J. Robust Nonlin.", "year": "2010", "url": "https://doi.org/10.1002/rnc.1554", "author": [ "S. G. Dietz","C. W. Scherer" ], "authors": [ {"first" : "S. G.", "last" : "Dietz"}, {"first" : "C. W.", "last" : "Scherer"} ], "volume": "20","number": "17","pages": "1903-1919","abstract": "Motivated by a robust disturbance rejection problem, in which disturbances are described by an uncertain filter at the plant input, a convex solution is presented for the robust output feedback controller synthesis problem for a particularly structured plant. The uncertainties are characterized by an integral quadratic constraint (IQC) with general frequency-dependent multipliers. By exploiting the structure of the generalized plant, linear matrix inequality (LMI)-synthesis conditions are derived in order to guarantee a specified L(2)-gain or H(2)-norm performance level, provided that the IQC multipliers are described by LMI constraints. Moreover, it is shown that part of the controller variables can be eliminated. Finally, the rejection of non-stationary sinusoidal disturbance signals is considered. In a numerical example, it is shown that specifying a bound on the rate-of-variation of the time-varying frequency can improve the performance if compared with the static IQC multipliers. Copyright (C) 2009 John Wiley & Sons, Ltd.", "shorttitle" : "Robust output feedback control against disturbance filter uncertainty described by dynamic integral quadratic constraints", "file" : "://000284215900001:Djvu", "issn" : "1049-8923", "endnotereftype" : "Journal Article", "bibtexKey": "DieSch10" } , { "type" : "Publication", "id" : "https://puma.ub.uni-stuttgart.de/bibtex/270cd658f5aeddea66235eee1a073bec1/mgeiger", "tags" : [ "Actuators,","Controllability,","Damping,","Eigenvalues","Gramian,","Gramian-based","Mathematical","Measurement,","Optimization,","active","actuator","actuators,","adaptive","algebra,","and","control","control,","controllability","controllability,","criterion,","damping,","eigenfunctions,","engineering","external","externally","high-rise","induced","loads,","matrix","model,","models,","modes","modification,","optimal","optimisation,","optimization","order","placement,","reduced","reduction,","response","spillover","spillover,","structure,","structures,","supports,","systems,","truss","vibration","vibrations," ], "intraHash" : "70cd658f5aeddea66235eee1a073bec1", "interHash" : "53ad49f8e25468c63611b703749d7cd3", "label" : "Gramian-based actuator placement with spillover reduction for active damping of adaptive structures", "user" : "mgeiger", "description" : "", "date" : "2019-11-08 16:11:00", "changeDate" : "2019-11-08 15:14:53", "count" : 5, "pub-type": "inproceedings", "booktitle": "2017 IEEE International Conference on Advanced Intelligent Mechatronics (AIM), July 3-7, 2017, Munich", "year": "2017", "url": "", "author": [ "Michael Heidingsfeld","Philipp Rapp","Michael Böhm","Oliver Sawodny" ], "authors": [ {"first" : "Michael", "last" : "Heidingsfeld"}, {"first" : "Philipp", "last" : "Rapp"}, {"first" : "Michael", "last" : "Böhm"}, {"first" : "Oliver", "last" : "Sawodny"} ], "pages": "904--909","abstract": "Adaptive structures are engineering structures with the ability to modify their response to external loads. This includes active damping of externally induced vibrations. The controller design is usually based on reduced order models that comprise the most important vibration modes of the structure. This can lead to unwanted excitation of the neglected modes, known as control spillover. One means to cope with this problem is by proper placement of the actuators. In this contribution, we present a method for optimal actuator placement for active damping of adaptive structures that explicitly considers spillover effects by optimizing the trade-off between controllability of the considered and neglected modes. The optimization criterion is based on the controllability Gramian. Under certain conditions, the globally optimal solution can be found. The proposed method is applied to a numerical example of a high-rise truss structure.", "doi" : "10.1109/AIM.2017.8014133", "bibtexKey": "heidingsfeld_gramian-based_2017" } ] }