时变时延网络控制系统稳定性分析

摘要

针对时变时延和数据包丢失的网络控制系统的稳定性和控制器设计问题,提出比例积分输出反馈控制策略.基于异步动态系统理论、Lyapunov稳定性原理和线性矩阵不等式方法,在传感器与控制器间、控制器与执行器间,建立时变时延和数据包丢失的比例积分输出反馈网络控制系统模型,给出网络控制系统指数稳定的半负定矩阵条件和比例积分输出反馈控制器设计方法.通过数值仿真例子验证,指数稳定的半负定矩阵条件和比例积分控制器设计方法是可行的.%According to the problems of exponential stability and controller design for network control system (NCS) with time-varying delay and data packet dropout, the proportional-integral (PI) output feedback control strategy was put forward. Based on the theory of asynchronous dynamical system, principle of Lyapunov stability and method of linear matrix inequality, the model for PI output feedback NCS with both time-varying delay and data packet dropout occurring among sensor, controller and actuator was constructed. And the negative semi-definite matrix condition for exponential stability and the controller design of NCS were presented. Numerical example shows that both are feasible.