Robust stabilization and H∞ control of uncertain discrete-time Markovian jump linear systems with mode-dependent time-delays

Author

Wang Xianyuan ; Xie Dongmei

Author_Institution

Dept. of Math., Tianjin Univ., Tianjin, China

fYear

2010

fDate

29-31 July 2010

Firstpage

895

Lastpage

899

Abstract

This paper investigates the robust stabilization and H_∞ control for a class of discrete-time Markovian jump linear systems with norm-bounded uncertainties and time-delays both in the system state and in the mode signal. The delay in the system state is time-varying. The delay in the mode signal results in a constant mismatch between the modes of the controller and the corresponding subsystems. Then linear matrix inequality (LMI)-based sufficient conditions for the stochastic stability, stabilization and H_∞ control are established. Our paper is an extension of [1].

Keywords

Markov processes; discrete time systems; linear matrix inequalities; linear systems; robust control; uncertain systems; H_∞ control; LMI; linear matrix inequality; mode dependent time delay; robust stabilization; stochastic stability; uncertain discrete time Markovian jump linear system; Control systems; Delay; Delay effects; Linear matrix inequalities; Linear systems; Markov processes; Robustness; Discrete-time Markovian Jump Linear System; H∞ Control; Linear Matrix Inequality (LMI); Stochastic Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2010 29th Chinese

Conference_Location

Beijing

Print_ISBN

978-1-4244-6263-6

Type

conf

Filename

5573947