时变时延多包传输网络控制系统的稳定性

Stability of networked control system with time-varying delay and multiple-packet transmission

对时变时延多包传输网络控制系统的指数稳定性和控制器设计问题进行研究。将在传感器与控制器间、控制器与执行器间具有时变时延和有数据包丢失、有时变时延和无数据包丢失两情形的多包传输状态反馈网络控制系统建模为有事件率约束的异步动态系统。基于异步动态系统理论、Lyapunov稳定性理论和线性矩阵不等式方法得到多包传输网络控制系统指数稳定的半负定矩阵条件和控制器设计方法。数值例子说明指数稳定的半负定条件和控制器设计方法是可行的。

Exponential stability and controller design problems for networked control system (NCS) with time-varying delay and multiple-packet transmission were studied. Two kinds of state feedback NCS with multiple-packet transmission, having time-varying delay and data packet dropout and having time-varying delay and no data packet dropout in sensor-to-controller and controller-to-actuator, was modeled as asynchronous dynamical systems (ADS) constrained by event rates. Based on the theory of ADS, Lyapunov stability theory and linear matrix inequality method, the negative semi-definite matrix conditions of exponential stability and the controller design method for the multiple-packet transmission NCS were obtained. The sufficient condition for exponential stability of NCS and the controller design were presented. Numerical examples were given to illustrate the feasibility of the negative semi-definite matrix conditions of exponential stability and the controller design method.