Title :
Delay-Dependent Robust Sampled-Data Stability for Markovian Jump Systems with Time-Delay
Author :
Xie, Weinan ; Ma, Guangcheng ; Wang, Changhong ; Feng, Baomin
Author_Institution :
Harbin Inst. of Technol., Harbin
Abstract :
This paper considers robust stochastic stabilizability for a class of uncertain sampled-data systems with time-delay and randomly jumping parameters. The transition of the jumping parameters is governed by a finite-state Markov process. The closed-loop system is a hybrid one defined on a hybrid time space and a sample space. The delay-dependent sufficient conditions on robust stochastic stabilizability for sampled-data control systems with Markovian jumping parameters are proposed using the stochastic Lyapunov-Krasovskii stability theory. The sampled-data control problems can be constructed through a set of coupled linear matrix inequalities. Finally, the numerical example is given to demonstrate the proposed techniques.
Keywords :
Markov processes; closed loop systems; robust control; sampled data systems; stability; stochastic systems; uncertain systems; closed-loop system; delay-dependent robust sampled-data stability Markovian jump systems; finite-state Markov process; hybrid time space; linear matrix inequalities; randomly jumping parameters; robust stochastic stabilizability; sampled-data control systems; stochastic Lyapunov-Krasovskii stability theory; time-delay; uncertain systems; Delay; Industrial electronics; Robust stability;
Conference_Titel :
Industrial Electronics and Applications, 2007. ICIEA 2007. 2nd IEEE Conference on
Conference_Location :
Harbin
Print_ISBN :
978-1-4244-0737-8
Electronic_ISBN :
978-1-4244-0737-8
DOI :
10.1109/ICIEA.2007.4318525