H_? Control Of TS Fuzzy System With Random Packet Loss And Time Delay

The networked control systems are spatial distributed closed-loop control systems formed by the sensors,controllers and actuators that distributed in different areas.With its advantages of easier maintainability,flexible expansion and simple connection,NCSs are widely used in many fields.However,due to limited network bandwidth and irregular data traffic changes,signals inevitably accompanied random phenomena such as data loss and transmission delay during the transmission process.Meanwhile,with the introduction of the computer network,the systems'complexity is increased,and the system will encounter problems such as random nonlinear interference of the environment.In particular,for the nonlinear systems,T-S fuzzy model proposed by Japanese scholars,Takagi and Sugeno.And the model is a very effective method,which mainly represents the nonlinear system with multiple segmented subsystems and approaches the original system indefinitely.In this paper,We mainly aims at the randomly problem existing in the networked systems,such as packet loss,time delay,etc.And we also consider various uncertainties during the transmission process,We use the Lyapunov stability theory and LMI to fix the problem of theH_? controller,and the nonlinear NCS described by T-S model.The research are as follows:First,for the NCSs with random data losses and one-step transmission delay in sensor channels,theH_? control problem has been studied for the above situation.We use two sets of independently distributed Bernoulli random variables to describe the packet loss and time delay,and then we use the T-S fuzzy model to represent the corresponding nonlinear networked control system.By using Lyapunov function,the method is proposed that makes the system asymptotically stable in the mean square sense.the corresponding controller parameter are obtained by solving the LMI,according to the simulation results,the feasibility of the method is verified.Secondly,for the NCSs with redundant channels,considering that the observed data is accompanied by data packet loss and sensor saturation during the transmission process.By using the nonlinear function,the model of sensor saturation phenomenon is obtained.The system model is obtained by applying the infinitely approximate characteristics of T-S fuzzy model.And the appropriate Lyapunov function is selected to prove the stability of the system.We use the LMI technology to obtain the controller design method and the parameters matrix.Finally,study the problems that the sensor channel and the controller channel exist data packet loss,transmission delay and data attack on the network during the transmission.Considering the data lag of the two channels is multi-step,at the same time,the two-channel network attack phenomenon are described by two non-linear functions.The corresponding nonlinear networked control system is obtained by using the T-S fuzzy model.By constructing Lyapunov function,a sufficient condition is obtained which makes the system asymptotically stable.and we can get the parameters of the controller by the LMI technology.Based on the results of the images and data,the controller design method is effective.