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）

摘要： 研究了存在时变时延的非理想网络环境下基于状态观测器的网络化控制系统非脆弱[H∞]鲁棒控制。考虑状态观测器和控制器均存在不确定性，采用Lyapunov稳定性理论和线性矩阵不等式（Linear Matrix Inequality，LMI）方法，得到闭环控制系统[H∞]渐近稳定的充分条件，给出非脆弱状态观测器和非脆弱鲁棒控制器的存在条件，通过给出的锥补线性化算法求解控制器和观测器增益矩阵。仿真实例表明了所提方法的有效性和可行性。

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）