Title :
Non-fragile control of uncertain Markovian jumping linear systems subject to actuator saturation
Author :
Zuo, Zhiqiang ; Cui, Yulong ; Wang, Yijing ; Zhang, Guoshan
Author_Institution :
Tianjin Key Lab. of Process Meas. & Control, Tianjin Univ., Tianjin, China
Abstract :
In this paper, the robust stochastic stabilization problem of uncertain Makovian jumping linear systems subject to actuator saturation is considered. The concept of domain of attraction in mean square sense is used to analyze the closed-loop stability. By using a class of stochastic Lyapunov function, a design procedure for the robust and non-fragile state feedback controller is developed based on the linear matrix inequality approach. Finally, a numerical example is provided to show the effectiveness of the method.
Keywords :
Lyapunov methods; Markov processes; closed loop systems; linear matrix inequalities; linear systems; mean square error methods; robust control; state feedback; stochastic systems; uncertain systems; actuator saturation; closed-loop stability; linear matrix inequality; mean square sense; nonfragile control; nonfragile state feedback controller; robust stochastic stabilization problem; stochastic Lyapunov function; uncertain Markovian jumping linear systems; Control systems; Hydraulic actuators; Linear systems; Lyapunov method; Robust control; Robustness; Stability analysis; State feedback; Stochastic processes; Stochastic systems; Actuator Saturation; Linear Matrix Inequality (LMI); Markovian Jumping Linear System; Non-Fragile Control;
Conference_Titel :
Control and Decision Conference, 2009. CCDC '09. Chinese
Conference_Location :
Guilin
Print_ISBN :
978-1-4244-2722-2
Electronic_ISBN :
978-1-4244-2723-9
DOI :
10.1109/CCDC.2009.5192593
