DocumentCode :
550594
Title :
Observer-based control for stochastic jump systems via backstepping method
Author :
Lu Kunfeng ; Xia Yuanqing ; Fu Mengyin ; Deng Zhihong
Author_Institution :
Sch. of Autom., Beijing Inst. of Technol., Beijing, China
fYear :
2011
fDate :
22-24 July 2011
Firstpage :
5947
Lastpage :
5952
Abstract :
In this paper, an observer-based state feedback control problem is investigated for stochastic jump systems. First, a new approach is developed to design the virtual controller for augmented jump system. Based on backstepping technique and Lyapunov stability theorem, it is shown that an observer for stochastic system can be constructed. Then, a stochastic stability condition is proposed for the overall closed-loop stochastic systems composed of the observer dynamics and the state estimation error dynamics. Finally, A numerical example is given to show the potential of the proposed techniques.
Keywords :
closed loop systems; control system synthesis; linear matrix inequalities; observers; stability; state feedback; stochastic systems; augmented jump system; backstepping method; closed-loop stochastic systems; linear matrix inequality; observer dynamics; observer-based state feedback control problem; state estimation error dynamics; stochastic jump systems; stochastic stability condition; virtual controller design; Backstepping; Markov processes; Observers; Stochastic systems; Symmetric matrices; Backstepping Control; Linear Matrix Inequality; Markovian Jump System; Observer-Based Control; Stochastic Stability;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control Conference (CCC), 2011 30th Chinese
Conference_Location :
Yantai
ISSN :
1934-1768
Print_ISBN :
978-1-4577-0677-6
Electronic_ISBN :
1934-1768
Type :
conf
Filename :
6000933
Link To Document :
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