Title :
Feedback controller design of discrete-time singular markovian jump systems with partial transition probabilities
Author :
Chang Hua ; Fang Yang-wang ; Lou Shun-tian
Author_Institution :
Sch. of Electron. Eng., Xidian Univ., Xi´an, China
Abstract :
Stabilization control problem is investigated for a class of discrete-time singular Markovian jump systems with partial transition probabilities. A sufficient condition for the open-loop system to be regular, causal and stochastically stable is proposed in the form of a set of strict linear matrix inequalities. The proposed sufficient condition uses the information of unknown parts of transition probabilities by equivalent transformation instead of minimizing method, so it is less conservative. Furthermore, for the considered systems, a mode-dependent state feedback controller is designed to make sure that the closed-loop system is regular, causal and stochastically stable. Finally, a numerical example is given to demonstrate the effectiveness of the proposed results.
Keywords :
closed loop systems; control system synthesis; discrete time systems; feedback; linear matrix inequalities; open loop systems; probability; stability; stochastic systems; closed-loop system; discrete-time singular Markovian jump systems; feedback controller design; mode-dependent state feedback controller; open-loop system; partial transition probabilities; stabilization control problem; stochastic stability; strict linear matrix inequalities; Adaptive control; Closed loop systems; Linear matrix inequalities; State feedback; Switches; Symmetric matrices; Markovian jump systems; feedback controller; linear matrix inequality(LMI); partial transition probabilities; singular systems;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an