Title :
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
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;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426578
