Further results on H∞ control for Markovian jump systems with mode-dependent time-varying delays

Author

Li, Zhicheng ; Wang, Sen ; Fei, Zhongyang ; Gao, Huijun

Author_Institution

Space Control & Inertial Technol. Res. Center, Harbin Inst. of Technol., Harbin, China

fYear

2010

fDate

8-10 June 2010

Firstpage

1521

Lastpage

1526

Abstract

This paper studies the problem of H_∞ control for a class of Markov jump systems with mode-dependent time-varying delays. Using the idea of partitioning the lower delay bound, a novel Lyapunov-Krasovskii functional (LKF) is constructed. Then a new delay-dependent criterion on the stochastic stability is derived in the form of linear matrix inequality (LMI). Based on this, state feedback controllers, which guarantees the stochastic stability of the closed-loop system with given disturbance attenuation, is proposed. An illustrative example is provided to show the reduced conservatism of the proposed result.

Keywords

H^∞ control; Lyapunov methods; Markov processes; closed loop systems; delay systems; linear matrix inequalities; stability; state feedback; stochastic systems; H∞ control; LKF; LMI; Lyapunov-Krasovskii functional; Markovian jump system; closed-loop system; disturbance attenuation; linear matrix inequality; mode-dependent time-varying delay; state feedback controller; stochastic stability; Attenuation; Delay; Delay effects; Markov processes; Stability criteria; Time varying systems; Delay partitioning; H∞ control; Markovian jump systems; Mode-dependent delays; Stochastic stability; Time-varying delays;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems and Control in Aeronautics and Astronautics (ISSCAA), 2010 3rd International Symposium on

Conference_Location

Harbin

Print_ISBN

978-1-4244-6043-4

Electronic_ISBN

978-1-4244-7505-6

Type

conf

DOI

10.1109/ISSCAA.2010.5632256

Filename

5632256