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）

摘要： 针对带有时变传输时延的网络化系统中控制器参数存在随机摄动问题，设计了一种非脆弱[H∞]控制器。利用Lyapunov稳定性理论和线性矩阵不等式方法，得到了非脆弱[H∞]控制器存在的充分条件，通过求解线性矩阵不等式得到该控制器增益。所设计的控制器在容许的随机参数摄动和有界时变时延下，能保证闭环网络化控制系统的稳定性和预定的[H∞]性能指标。仿真例子验证了方法的有效性。

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）