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.
%0 Journal Article
%1 RieSch08a
%A Rieber, J. M.
%A Scherer, C. W.
%A Allgower, F.
%D 2008
%J Int. J. Control
%K EXC310 approach dependent functions imng inequality lyapunov matrix optimization peerReviewed pn4 programs relaxations
%N 5
%P 851-864
%T Robust $l_1$ performance analysis for linear systems with parametric uncertainties
%U https://doi.org/10.1080/00207170701730451
%V 81
%X 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.
@article{RieSch08a,
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.},
added-at = {2021-12-07T20:40:52.000+0100},
author = {Rieber, J. M. and Scherer, C. W. and Allgower, F.},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2b9e0ef26b3072dde1659125d18d60b7c/carsten.scherer},
endnotereftype = {Journal Article},
file = {<Go to ISI>://000255553000012},
interhash = {65da870d0bca9e82e2d000989caf405c},
intrahash = {b9e0ef26b3072dde1659125d18d60b7c},
journal = {Int. J. Control},
keywords = {EXC310 approach dependent functions imng inequality lyapunov matrix optimization peerReviewed pn4 programs relaxations},
number = 5,
pages = {851-864},
shorttitle = {Robust l(1) performance analysis for linear systems with parametric uncertainties},
timestamp = {2021-12-07T19:40:52.000+0100},
title = {{R}obust $l_1$ performance analysis for linear systems with parametric uncertainties},
url = {https://doi.org/10.1080/00207170701730451},
volume = 81,
year = 2008
}