Observer based sliding mode control for a class of continue-time Markov jump systems

Author

Fengzhi Huang ; Yi Ning ; Shijie Zhang ; Yuanwei Jing ; Yan Zheng

Author_Institution

Coll. of Electr. Eng., Henan Univ. of Technol., Zhengzhou, China

fYear

2013

fDate

25-27 May 2013

Firstpage

1770

Lastpage

1775

Abstract

In this paper, the problem of sliding mode output feedback for a class of continue-time Markov jump systems with some unmeasured states is investigated. An observer is designed to estimate the system states, and a sliding mode controller is synthesized for driving the system to reach to and maintain on the sliding mode. Sufficient conditions for the existence of the controller under which the underlying system are stochastically stabilized are derived via LMIs. A numerical example shows the validity and potential of the developed results.

Keywords

Markov processes; continuous time systems; feedback; linear matrix inequalities; observers; stability; stochastic systems; variable structure systems; LMI; continue-time Markov jump system; observer based sliding mode control; observer design; sliding mode controller; sliding mode output feedback; stochastic stability; system state estimation; unmeasured state; Closed loop systems; Educational institutions; Estimation error; Markov processes; Observers; Output feedback; Symmetric matrices; Continue-time Markov Jump Systems; Observer; Sliding Mode;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2013 25th Chinese

Conference_Location

Guiyang

Print_ISBN

978-1-4673-5533-9

Type

conf

DOI

10.1109/CCDC.2013.6561219

Filename

6561219