Research On Robust H_∞ Control For Network Control Systems With Packet Dropout

The Networked Control System(NCS)is a closed-loop feedback system that connects each element in the control unit through a communication network to exchange information.Compared with traditional control systems,NCS can connect systems distributed in different spatial locations together,and has the advantages of fewer connections,easy expansion,and convenient remote operation.But at the same time,the intervention of the communication network will cause new problems such as delay and packet loss,which will not only reduce the performance of the system,but even lead to system instability.This paper mainly focuses on the nonlinear network control system with data packet loss and time delay.At the same time,considering the system uncertainty,controller parameter perturbation,data quantization error and actuator failure,the related robust H_∞controller design issues are studied.For a class of nonlinear uncertain networked control systems with network dual-channel induced time delay and packet dropout,this project focus on the problem of robust H_∞control in it.The data packet loss and network-induced delay are transformed into equivalent time-varying delays that obey the Bernoulli two-interval distribution,while considering the uncertainty and external disturbances in the system,a nonlinear system model is established based on the T-S fuzzy model,and the Lyapunov-Krasovkii functional,through the linear matrix inequality method(LMI)gives the system robust asymptotically stable sufficient conditions,and gives the fuzzy H_∞controller design method.The feasibility and effectiveness of the design method are verified by numerical simulation.For a class of nonlinear uncertain networked control systems with interval delays and packet dropout,this project focus on the problem of non-fragile H_∞control in it.Assuming that the system time delay is a time-varying continuous function in a given interval,and the data packet dropouts is a random variable that obeys the Bernoulli distribution,also considering the system’s control parameter perturbation,describing the control system based on the T-S fuzzy model,this paper determines the upper and lower bounds of the progressively stabilized time delay by constructing the Lypunov-Krasovskii functional and the method of linear matrix inequality.And gives a sufficient condition for the system where it can be robust and progressively stable,and design methods for the non-fragile H_∞state feedback control.The feasibility and effectiveness of the design method are verified by numerical simulation.For a class of time-varying time-delay nonlinear NCS with data quantization error and actuator failure,this project focus on the problem of non-fragile H_∞quantization fault-tolerant control in it.Introduce two static logarithmizers,use the sector-bound method to express the quantization error in the form of parameter uncertainty,and consider the interval delay,random packet loss and actuator failure.It is established based on the T-S fuzzy model and the principle of parallel distributed compensation.The fault model of the closed-loop system uses the Lyapunov stability principle to analyze the robust asymptotic stability,and gives the design method of the non-fragile H_∞quantitative fault-tolerant state feedback controller.The feasibility and effectiveness of the design method are verified by numerical simulation.