多包传输动态输出反馈网络控制系统指数稳定性

Exponential Stability of Dynamic Output Feedback NCS with Multiple-Packet Transmission

研究在传感器与控制器间的多包传输网络控制系统的指数稳定性和控制器设计问题.将有时延和有数据包丢失、无时延和有数据包丢失两情形的多包传输动态输出反馈网络控制系统建模为异步动态系统.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,提出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矩阵条件和控制器设计方法是可行的.

Exponential stability and controller design problems for networked control systems （NCSs） with multiple-packet transmission in sensor-controller are studied. Dynamic output feedback NCS with multiple-packet transmission, such as having time-delay and the dropped out packets, no time-delay and having the dropped out packets, are modeled as asynchronous dynamical systems. Based on the theory of asynchronous dynamical systems, the principle of Lyapunov stability and the method of linear matrix inequality, the negative semidefinite matrix condition for exponential stability and the controller design method of NCS with multiple-packet transmission are presented. Numerical examples show that the negative semi-definite matrix condition of exponential stability and the controller design method are feasible.