关键词: 网络化控制系统, 数据丢包, 非脆弱鲁棒[H&infin, ]控制, Lyapunov稳定性理论, 线性矩阵不等式

Abstract: This paper focuses on the problem of non-fragile robust [H∞] control for a class of Lipschitz nonlinear networked control system with packet dropouts, an approach is presented to design the non-fragile robust [H∞] controller with additive gain uncertainties. Based on Lyapunov stability theory and the approach of Linear Matrix Inequality （LMI）, the design of the controller with uncertain gain is converted into a convex optimization problem with linear matrix inequality constraints. In the case of packet dropouts, sufficient conditions for the existence of non-fragile robust [H∞] controller are established. The proposed controller is robust and non-fragile, which can assure the stability and [H∞] performance of the closed system with packet-dropout rate and gain perturbation in permitted ranges. A numerical simulation is exploited to demonstrate the effectiveness of the proposed approach.

Key words: networked control system, packet dropouts, non-fragile robust [H∞] control, Lyapunov stability theory, Linear Matrix Inequality（LMI）