Abstract: In the project actual Networked Control Systems（NCS）, it not only requires the system to remain stable, but also has certain performance index, application of state feedback control is a very effective control method. The problem on guaranteed cost control with memorized state feedback controller for a kind of NCS with uncertain time-delay is researched. The condition of existence of the NCS guaranteed cost control law and the design method of state feedback controller are given by using Lyapunov-Krasovskii function and linear matrix inequalities. At last, simulation results of an example with MATLAB show the effectiveness and correctness of the proposed method.

Key words: networked control systems, memorized state feedback, guaranteed cost control, linear matrix inequalities

摘要： 在工程实际网络控制系统中，不仅要求系统能够保持稳定，还要系统具有一定的性能指标，采用状态反馈控制是一种非常有效的控制方式。针对一类线性不确定时延网络控制系统，研究了在有记忆状态反馈控制器下的保性能控制问题。利用Lyapunov函数和线性矩阵不等式的方法，给出了网络控制系统保性能控制律存在的条件和相应的状态反馈控制器的设计方法。最后，通过Matlab数值仿真算例验证了该方法的有效性和正确性。

关键词: 网络控制系统, 有记忆状态反馈, 保性能控制, 线性矩阵不等式