Mode-independent Controller Design for Markov Jumping Systems with Time-delays

Author

Duan, Xiaojuan ; Li, Cuifeng

Author_Institution

Anhui Inst. of Archit. & Ind., Hefei

fYear

2007

fDate

May 30 2007-June 1 2007

Firstpage

677

Lastpage

680

Abstract

In this paper, the stochastic stabilization problem for a class of Markov jumping linear systems (MJLS) with time-delays is considered. The concept of domain of attraction in mean square sense is used to analyze the closed-loop stability. A less conservative approach is given to design the mode-independent state feedback controller. By using Lyapunov functional approach and Moon´s inequality, linear matrix inequalities (LMIs) are derived. Finally, a numerical example is provided to show the effectiveness of the techniques.

Keywords

Lyapunov methods; Markov processes; closed loop systems; control system synthesis; delays; linear matrix inequalities; linear systems; state feedback; stochastic systems; Lyapunov functional approach; Markov jumping linear system; Moon inequality; closed-loop stability; linear matrix inequality; mean square sense; mode-independent state feedback controller design; stochastic stabilization problem; time-delay; Automatic control; Control systems; Design automation; Linear matrix inequalities; Linear systems; Lyapunov method; Mathematics; Stability analysis; State feedback; Stochastic processes; LMI; Markov; stability; time-delays;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation, 2007. ICCA 2007. IEEE International Conference on

Conference_Location

Guangzhou

Print_ISBN

978-1-4244-0818-4

Electronic_ISBN

978-1-4244-0818-4

Type

conf

DOI

10.1109/ICCA.2007.4376440

Filename

4376440