Robust stability and performance analysis for parameter dependent systems using mixed multipliers

Author

Yang, Guang-hong ; Lum, Kai-Yew

Author_Institution

Temasek Lab., Nat. Univ. of Singapore, Singapore

Volume

1

fYear

2003

fDate

4-6 June 2003

Firstpage

441

Abstract

This paper is concerned with the problem of robust stability and performance analysis for parameter-dependent systems. By jointly using parameter-dependent Lyapunov functions, parameter-dependent multipliers and parameter-independent multipliers, new conditions for the robust stability are given in terms of linear matrix inequalities (LMIs). It has been shown that the resulting robust stability criteria is no more conservative than those obtained in existing approaches. The results are also extended to robust H₂ performance analysis.

Keywords

H^∞ control; Lyapunov methods; linear matrix inequalities; linear systems; performance evaluation; stability; uncertain systems; Lyapunov functions; linear matrix inequalities; mixed multipliers; parameter dependent multipliers; parameter dependent systems; parameter independent multipliers; performance analysis; robust H₂ performance analysis; robust stability; Control systems; Linear matrix inequalities; Linear systems; Lyapunov method; Performance analysis; Robust stability; Robustness; Stability criteria; Symmetric matrices; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2003. Proceedings of the 2003

ISSN

0743-1619

Print_ISBN

0-7803-7896-2

Type

conf

DOI

10.1109/ACC.2003.1239042

Filename

1239042