关键词: 网络化控制系统, 时延, 状态观测器, 非脆弱[H&infin, ]控制, 线性矩阵不等式（LMI）

Abstract: Aiming at networked control system with time-varying network-delay, the problem of state observer-based non-fragile [H∞] robust control for networked control system is studied. The uncertainties exist not only in the gain of the observer but also the controller, by using Lyapunov theory and Linear Matrix Inequality（LMI） method, a sufficient condition for the asymptoticstability of the closed loop control system is derived, criteria for the existence of the non-fragile observer and robust controller are derived, and the desired observer and controller can be derived by solving a nonconvex feasibility problem via a modified cone complementary linearization algorithm. A simulation example is provided to illustrate the effectiveness and feasibility of the proposed method.

Key words: networked control system, time-varying delay, state-observer, non-fragile [H∞]control, Linear Matrix Inequality（LMI）