Title :
H∞ control for Itô stochastic systems with markovian jump
Author :
Gao Cun-chen ; Cong Xin-Wei
Author_Institution :
Sch. of Math. Sci., Ocean Univ. of China, Qingdao, China
Abstract :
In this paper, variable structure control for Itô stochastic systems with Markovian jump has been investigated. By means of linear matrix inequalities, the suitable sliding surfaces are given firstly. Then in order to guarantee that the sliding motions on the specified sliding surfaces are stochastically stable with some prescribed disturbance attenuation γ(>;0), two theorems are given by Lyapunov-Krasovskii functionals. Finally, a simulation is provided to show the effectiveness and practicability of the proposed method.
Keywords :
H∞ control; Lyapunov methods; Markov processes; linear matrix inequalities; stability; stochastic systems; variable structure systems; H∞ control; Ito stochastic system; Lyapunov-Krasovskii functional; Markovian jump; disturbance attenuation; linear matrix inequalities; stochastic stability; variable structure control; Attenuation; Control systems; Indium tin oxide; Linear matrix inequalities; Stability analysis; Stochastic systems; Symmetric matrices; Disturbance attenuation; Itô stochastic systems; Linear matrix inequality; Markovian jump;
Conference_Titel :
Control Conference (CCC), 2011 30th Chinese
Conference_Location :
Yantai
Print_ISBN :
978-1-4577-0677-6
Electronic_ISBN :
1934-1768
