H_? Controller Synthesis Of Interval Type-2 T-S Model-based Networked Systems

Fuzzy control theory has great advantages in dealing with complex nonlinear systems,and T-S fuzzy model can use local linear systems to approximate global nonlinear systems with arbi-trary precision.T-S fuzzy model has many applications in real life and engineering.The type-1 fuzzy set theory is an extension of classical set theory,but type-1 fuzzy sets have limitations when dealing with uncertainty parameters,while type-2 fuzzy sets have been extended.Since the type-2 fuzzy sets increase the computational complexity,it loses its advantage in practical applications.In order to solve the computational complexity problem,the interval type-2 fuzzy sets have corresponding improvements to the type-2 fuzzy sets.In this paper,based on the interval type-2 T-S model networked control system controller design problems,the research contents mainly include the following three parts:In the first part,the H? control problem of uncertain networked systems with network-induced delay is studied.According to the Lyapunov-Krasovskii functional method combined with the matrix inequality scaling technique,the sufficient conditions for the asymptotic sta-bility of the closed-loop fuzzy systems are given.By introducing the free-weighting-matrices variable to represent the relationship between the items in the Newton-Leibniz formula,the matrix decomposition method is used to effectively solve the problem of uncertainty in the pa-rameter matrix in the systems,and the parallel distribution compensation method is used to design The controller of the systems.Finally,the effectiveness of the design method is verified by numerical simulation.In the second part,the H? fault-tolerant control problem of networked control systems based on event-triggered scheme is studied.On the one hand,for a parameter uncertainty networked control systems with network-induced delay,to effectively reduce the data problem in the network communication channel,consider the system model with the characteristics of event-triggered scheme;On the other hand,for arbitrarily failure of the actuator,the system model with fault-tolerant control is considered.And the introduction of the auxiliary matrix reduces the conservativeness of the system results.By designing a state feedback controller with a premise mismatch,the networked control systems are asymptotically stable and satisfy the performance of suppressing interference.In the third part,the controller synthesis problem based on the auxiliary function-based integral inequality is studied.For the parameter uncertain networked control systems with network-induced delay,the more accurate integral upper is estimated by the auxiliary function-based integral inequality,and Lyapunov-Krasovskii functional with augment term is introduced,and the Lyapunov-Krasovskii with triple integral term is constructed,using reciprocal convex combination and matrix inequality decomposition and other techniques,further reduce the con-servativeness of the results,and a state feedback controller is designed to make the networked control system asymptotically stable and have suppression performance.Finally,the effective-ness of the design method is verified by numerical simulation.