Robust l1 Performance Analysis in face of Parametric Uncertainties

Author

Rieber, Jochen M. ; Scherer, Carsten W. ; Allgöwer, Frank

Author_Institution

Inst. for Syst. Theor. & Autom. Control, Stuttgart Univ.

fYear

2006

fDate

13-15 Dec. 2006

Firstpage

5826

Lastpage

5831

Abstract

This paper presents a computational approach for analyzing the robust l_infin-gain (or the robust l₁ performance) of uncertain linear systems with parametric uncertainties. The method considers the class of systems where the 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

Keywords

discrete time systems; linear systems; state-space methods; uncertain systems; computational approach; discrete-time systems; linear parameter-varying systems; matrix inequality condition; parametric uncertainties; robust gain analysis; robust performance analysis; robust semidefinite programming; star-norm; state-space matrices; structured parametric time-invariant uncertainty; time-varying uncertainty; uncertain linear systems; Automatic control; Control systems; Linear matrix inequalities; Linear systems; Performance analysis; Robust control; Robustness; Time varying systems; USA Councils; Uncertainty; Linear parameter-varying systems; l1 performance; lÂ¿-gain; robust semi-definite programming; star-norm;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2006 45th IEEE Conference on

Conference_Location

San Diego, CA

Print_ISBN

1-4244-0171-2

Type

conf

DOI

10.1109/CDC.2006.377748

Filename

4177555