Stability analysis for uncertain linear systems

Author

Zhai, Ding ; Zhang, Ying ; Dong, Bin ; Liu, Guoyi ; Liang, Li

Author_Institution

Coll. of Sci., Northeastern Univ., Shenyang

fYear

2008

fDate

2-4 July 2008

Firstpage

3016

Lastpage

3018

Abstract

In this paper, we deal with the problem of robust stability analysis of linear systems with real parametric uncertainty. The new conditions for the robust stability are given in terms of linear matrix inequalities (LMIs) based on parameter-dependent Lyapunov function approach. Firstly, we describe the model of the uncertain linear system and the relative robust stability problem. Then, using two lemmata we prove the new sufficient criteria for the robust stability based on LMIs. And the resulting stability criterion is less conservative than before.

Keywords

linear matrix inequalities; linear systems; robust control; stability; uncertain systems; LMI; lemmata; linear matrix inequalities; parameter-dependent Lyapunov function approach; parametric uncertainty; robust stability analysis; uncertain linear systems; Automation; Educational institutions; Laboratories; Linear matrix inequalities; Linear systems; Lyapunov method; Robust stability; Stability analysis; Stability criteria; Uncertainty; Linear systems; linear matrix inequalities; parameter-dependent Lyapunov function; real parametric uncertainty; robust stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference, 2008. CCDC 2008. Chinese

Conference_Location

Yantai, Shandong

Print_ISBN

978-1-4244-1733-9

Electronic_ISBN

978-1-4244-1734-6

Type

conf

DOI

10.1109/CCDC.2008.4597879

Filename

4597879