Research On H_? Control Of Networked LPV System

Linear Parameter-Varying(LPV)system is a special kind of linear system,the state space matrix of such systems is a deterministic function with some time-varying parameters as independent variables,these time-varying parameters are measurable in real time and vary in closed sets.With the development of computer networks,networked control systems have also become a hot area of research.The application of network-based linear parameter varying system has also become more and more widely,such as wind power control systems,space flight control systems and so on.The network is introduced into the LPV system,it will bring the characteristics of network control system,such as packet loss,network induced delay,quantification and other issues.This article is based on Lyapunov stability theory,the stability of the LPV system under non-ideal conditions such as network packet loss,induced delay and quantization as well as the infinite control of H_?.The main contents are:For the case of packet loss in the network environment and inherent time-delay in the LPV system,we designed a H_?controller.This method utilizes the Bernoulli distribution sequence to describe the occurrence of random packet loss,constructing an appropriate Lyapunov function and then obtains sufficient conditions for the stability of the mean square exponentially and the satisfaction of the H_?control indices of the closed loop LPV control system.The parameter expression of the controller gain is obtained by solving the linear matrix inequalities(LMI)toolbox,so that the closed-loop and time-delay LPV system with packet loss is exponentially stable in the mean square and meets certain H_?performance indicators.Study the stability and H_?control of the LPV control system with dynamic quantification in a networked environment.Considering the influence of quantization error on system performance,a dynamic quantization controller is designed.Using dynamic quantizer and Lyapunov stability theory to design an appropriate quantized control strategy and obtains a sufficient condition for the asymptotic stability and H_?stability of the closed-loop control system.Then the expression of controller is obtained by the linear matrix inequalities toolbox,so that the closed-loop system is asymptotically stable and meets certain H_?performance indicators.Aiming at the control problem of LPV systems with stochastic time-varying delays in the network,we designed a H_?controller.The method uses Bernoulli distribution sequence to describe the network-induced delay.Based on the Lyapunov stability theory and the free weight matrix method,a sufficient condition for the exponential stability of the closed-loop LPV system is obtained.Finally,the state feedback controller can make the closed-loop system exponentially stable and meet certain H_?performance indicators.At the end of each study,the concrete steps of applying this method are given,and the effectiveness of the method is verified by simulation experiments.