Title :
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
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;
Conference_Titel :
Control and Decision Conference (CCDC), 2013 25th Chinese
Conference_Location :
Guiyang
Print_ISBN :
978-1-4673-5533-9
DOI :
10.1109/CCDC.2013.6561219
