Static output feedback variable structure control for Markov jump systems

Author

Ci Pengsong ; Ma Shuping ; Zhang Chenghui

Author_Institution

Sch. of Math., Shandong Univ., Jinan, China

fYear

2013

Firstpage

3158

Lastpage

3163

Abstract

In this paper, the static output feedback variable structure control for Markov jump systems is discussed. First, the sliding mode dynamics and the switching surface are treated as a descriptor Markov jump system. Based on stochastic stability theory of descriptor Markov jump systems, a linear matrix inequality (LMI) sufficient condition which guarantees the stochastic stability of the sliding mode dynamics and the existence of the switching surface is given. Then, by using LMI, the design method of a static output feedback variable structure controller is given, which guarantees that the closed-loop system is stochastically stable, and the state trajectories of the closed-loop system are convergent to the switching surface in finite time. Last, a numerical example is given to show the correctness and effectiveness of the proposed method.

Keywords

Markov processes; closed loop systems; feedback; linear matrix inequalities; stability; stochastic systems; trajectory control; variable structure systems; LMI sufficient condition; closed-loop system; descriptor Markov jump systems; design method; finite time; linear matrix inequality sufficient condition; sliding mode dynamics; state trajectory; static output feedback variable structure control; stochastic stability theory; switching surface; Educational institutions; Electronic mail; Markov processes; Numerical stability; Output feedback; Surface treatment; Switches; Descriptor Markov jump system; Linear matrix inequality(LMI); Markov jump system; Static output feedback; Variable structure control;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2013 32nd Chinese

Conference_Location

Xi´an

Type

conf

Filename

6639964