关键词: 网络化控制系统, 网络诱导时延, 随机参数摄动, 非脆弱[H&infin, ]控制, 线性矩阵不等式（LMI）

Abstract: This paper is concerned with non-fragile [H∞] control for networked control systems with random parameter uncertainty of controller and transmission delay. The controller gain to be designed is allowed to have random gain variations. Based on Lyapunov stability theory and Linear Matrix Inequality（LMI） method, a sufficient condition for the existence of the non-fragile controller is derived, and the controller gain can be obtained by solving a convex optimization problem. The designed controller can guarantee the stability and the prescribed [H∞] performance index in spite of the existence of the gain uncertainty and the network-induced delays. Finally, the numerical example is exploited to demonstrate the effectiveness of proposed approach.

Key words:  networked control systems, network-induced delays, random parameter uncertainty, non-fragile [H∞] control, Linear Matrix Inequality（LMI）