随机不确定时滞系统的鲁棒H_控制.pdf

25 5 Vol. 25 No. 5 2008 10 Control Theory Applications Oct. 2008 :2008 , , (1. , 252000; 2. , 210094) : , . , Lyapunov , . , . : ; ; ; : TP13 : A Robust H-infinity control for stochastic uncertain systems with time-delay XIA Jian-wei , XU Sheng-yuan , ZOU Yun (1. School of Mathematic Science, Liaocheng University, Liaocheng Shandong 252000, China; 2. School of Automation, Nanjing University of Science and Technology, Nanjing Jiangsu 210094, China) Abstract: The robust stochastic stability and the robust H-infinity control for time-delay stochastic systems with convex polytopic uncertainties are addressed. Sufficient conditions for the solvability of these problems are obtained via the parameter-dependent Lyapunov functional. It is also shown that a desired state feedback controller can be designed by solving a set of linear matrix inequality. Key words: H-infinity control; polytopic uncertainties; stochastic systems; time-delay 1 (Introduction) , , , . Lyapunov , , , , . . , 2 (Problem formulation) . , , . [5], . [6], . (1)