一类基于观测器的短时延网络控制系统的建模和稳定性分析

Modeling and Stabilization Analysis of Observer-based Networked Control Systems with Time-delay

针对一类不确定的短时延网络控制系统,利用全阶状态观测器作为对网络诱导时延的补偿,定义了一个新的状态变量,得到了短时延网络控制系统的离散模型.根据Lyapunov稳定性理论和矩阵知识,给出了该闭环系统渐近稳定的充分条件,并基于线性矩阵不等式的可行解给出了状态反馈控制律.仿真结果表明该方法有效可行.

Considering a class of uncertain networked control systems with short time-delay,it proposes a discrete model,in which a full-order observer is utilized to compensate network-induced delay,by defining an augmented state vector,based on Lyapunov stability theory and matrix theory.Sufficient conditions for asymptotic stability of closed-loop systems were derived,and the state feedback controller was obtained,based on the feasible solution of the linear matrix inequalities（LMI）.The simulation results verify the validity of the proposed method.