存在时延和数据包丢失情况下状态反馈网络控制系统的指数稳定性

同时考虑网络诱导时延和数据包丢失以及传感器与控制器、控制器与执行器之间均存在网络的情况，研究了状态反馈网络控制系统的稳定性问题．基于一定的数据包丢失率和恒定时延，系统被建模为由结构事件率约束的异步动态切换系统．利用李亚普诺夫方法和线性矩阵不等式描述，推导出由数据包丢失率约束的系统指数稳定的充分条件，给出了系统指数稳定的容许数据丢包率和系统开环状态及闭环结构的关系，以使系统指数稳定．用Matlab LMI工具箱容易判定系统的指数稳定性，同时获得系统指数稳定的状态反馈控制律．Matlab仿真说明，分析方法是有效的，稳定判据是可行的．

Exponential Stability of State Feedback Networked Control System with Time-delay and Data Packet Dropout

Taking into consideration of network-induced delay,data packet dropout,and the existence of networks among the sensors,the controller and the actuators,this paper studies stability of state feedback networked control systems(NCSs).Based on fixed data packet dropout rates and constant time-delay,the NCS is modeled as an asynchronous dynamical-switched system constrained by configuration event rates.By using Lyapunov theory and linear matrix inequality formulation,this paper derives the sufficient conditions for exponential stability of the NCS constrained by packet dropout rates,and presents the relationship between open-loop system status,closed-loop configuration and allowable packet dropout rates to guarantee the exponential stability of NCS.By using LMI toolbox in Matlab,we can easily determine the exponential stability of an NCS,and obtain the state feedback control law at the same time.Matlab simulation shows that the analysis method is valid and the stability criterions are feasible.