Title :
Observer-based finite-time controller for Markov jump systems with deterministic switches
Author :
Chaojie, Zhou ; Xiaoli, Luan ; Fei, Liu
Author_Institution :
Key Laboratory for Advanced Process Control of Light Industry of the Ministry of Education, Institute of Automation, Jiangnan University, Wuxi, 214122, P.R. China
Abstract :
The observer-based controller with finite-time bounded property design technique for a class of discrete-time Markov jump linear systems governed by deterministic switches is presented in this paper. Less conservative conditions are derived to ensure the state trajectories of the closed-loop systems keep within the desired bound in given-time interval by allowing the Lyapunov function to increase at every switching instant with a limited increasing rate. Meanwhile, considering the effect of time-delay on the transient performance of the systems, the analytic form of the relationship among time-delay, average dwell time and given finite time horizon are obtained through an average dwell time constraint. A numeric example is given to verify the results we derived.
Keywords :
Closed loop systems; High definition video; Linear matrix inequalities; Markov processes; Observers; Switches; Average dwell time; Deterministic switches; Finite-time; Stochastic Markov jumps; Time-delay;
Conference_Titel :
Control Conference (CCC), 2015 34th Chinese
Conference_Location :
Hangzhou, China
DOI :
10.1109/ChiCC.2015.7259913