Title :
A descriptor system approach to sliding mode control for uncertain Markov jump systems
Author :
Ma, Shuping ; Boukas, El-Kébir
Author_Institution :
Sch. of Math., Shandong Univ., Jinan, China
Abstract :
The robust sliding mode control for Markov jump systems with parameter uncertainties and an unknown nonlinear function is discussed. Based on a descriptor system approach and linear matrix inequality (LMI), a sufficient condition which guarantees the existence of linear switching surface and the stochastic stability of sliding mode dynamics is given. A sliding mode controller is designed such that the closed-loop system is convergent to the switching surface in finite time. A numerical example is given to show the effectiveness of the proposed method.
Keywords :
Markov processes; closed loop systems; control system synthesis; linear matrix inequalities; robust control; stochastic systems; time-varying systems; uncertain systems; variable structure systems; closed-loop system; descriptor system approach; linear matrix inequality; linear switching surface; robust sliding mode control; stochastic stability; uncertain Markov jump systems; Control systems; Filtering; Nonlinear control systems; Power system stability; Robust control; Sliding mode control; Stochastic systems; Switching systems; Symmetric matrices; Uncertain systems;
Conference_Titel :
Asian Control Conference, 2009. ASCC 2009. 7th
Conference_Location :
Hong Kong
Print_ISBN :
978-89-956056-2-2
Electronic_ISBN :
978-89-956056-9-1
