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.