H;∞ non-fragile observer-based sliding mode control of singular Markovian jump systems with state delay

Author

Pingfang Zhou ; Yueying Wang ; Quanbao Wang ; Ji-An Chen ; Jiemei Ren ; Dengping Duan

Author_Institution

Sch. of Aeronaut. & Astronaut., Shanghai Jiao Tong Univ., Shanghai, China

fYear

2012

fDate

10-13 Dec. 2012

Firstpage

7720

Lastpage

7725

Abstract

This paper is concerned with the state estimation and H_∞ sliding mode control for delayed singular Markovian jump systems. A non-fragile observer is designed to estimate the system states, and the sliding mode control law is established to ensure the reachability of the sliding surface in the state-estimation space. Then, some sufficient conditions for the stochastic admissibility of the overall closed-loop system with H_∞ disturbance attenuation level are derived in terms of strict linear matrix inequality (LMI).

Keywords

H^∞ control; Markov processes; closed loop systems; delays; linear matrix inequalities; observers; variable structure systems; H_∞ disturbance attenuation level; H_∞ nonfragile observer-based sliding mode control; LMI; closed-loop system; delayed singular Markovian jump systems; linear matrix inequality; nonfragile observer; sliding mode control law; sliding surface; state delay; state estimation; state-estimation space; stochastic admissibility; Estimation error; Linear matrix inequalities; Observers; Sliding mode control; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2012 IEEE 51st Annual Conference on

Conference_Location

Maui, HI

ISSN

0743-1546

Print_ISBN

978-1-4673-2065-8

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2012.6426578

Filename

6426578