A LMI approach to observer design for a class of switched nonlinear systems

Author

Zhengrong, Xiang ; Chuan, Zhou ; Ronghao, Wang

Author_Institution

Sch. of Autom., Nanjing Univ. of Sci. & Technol., Nanjing

fYear

2008

fDate

16-18 July 2008

Firstpage

285

Lastpage

288

Abstract

The problem of state observer design is considered for discrete time delay switched systems with Lipschitz nonlinearity and random switching law. At first, based on multiple Lyapunov functions techniques, a sufficient condition for the convergence of switched error systems is presented. Furthermore, by matrix transformation techniques, observer gains can be obtained by solving a set of linear matrix inequalities (LMIs). Finally, the simulation results show that the methods proposed in this paper is effective.

Keywords

Lyapunov methods; delay systems; discrete time systems; linear matrix inequalities; nonlinear control systems; observers; time-varying systems; LMI approach; Lipschitz nonlinearity; discrete time delay switched systems; linear matrix inequalities; matrix transformation techniques; multiple Lyapunov functions techniques; random switching law; state observer design; switched nonlinear systems; Bismuth; Control systems; Delay effects; Design automation; Linear matrix inequalities; Lyapunov method; Nonlinear control systems; Nonlinear systems; Sufficient conditions; Switched systems; LMI; Observer; Switched nonlinear systems; Time delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2008. CCC 2008. 27th Chinese

Conference_Location

Kunming

Print_ISBN

978-7-900719-70-6

Electronic_ISBN

978-7-900719-70-6

Type

conf

DOI

10.1109/CHICC.2008.4605132

Filename

4605132