Event-triggering Controller Design And Synthesis Analysis For Discrete-time Fuzzy Systems

In large-scale industrial processes,the mathematical models established using physical principles often have high-order nonlinear characteristics,which bring great difficulties to the stability analysis and controller design of physical systems.Therefore,how to use the fuzzy model and fuzzy control theory to approximate nonlinear system and further improve the performance of the system,has become a problem and hot issue that many scholars are trying to study.In addition,due to the presence of stochastic disturbances and time delay in the system,the performance of the system often attenuates,even oscillations and instability.H_?filtering is verified that the state of the system can still obtain good performance when there is inner immeasurable signal in system model.Therefore,it is of great significance to implement the H_?filtering problem for T-S fuzzy time-delay systems with stochastic disturbances.In recent years,in order to reduce unnecessary waste of bandwidth resources in network control systems,the based-network event-triggered method for nonlinear systems has attracted a large number of scholars'attention,and many important research results have been proposed.However,there are still some limitations on the research results of the event triggered scheme:First,the theoretical results based on the event-triggered scheme is that the event-triggered parameters are fixed in many literature studies and are not affected by the network load variations.In practice,the network loads are changing and should be considered when constructing the event-triggering method.Second,the existing event-triggered control system focuses on the stability analysis of continuous-time systems.Little consideration is given to the fault detection,filters,and controller design of discrete-time systems.Third,there are often packet dropouts,network-induced delays,and fault in network control systems.These phenomena are the main factors that lead to the deterioration of the control system performance.Therefore,based on the above discussion,this paper introduces different methods for different research problems,and provides the stability analysis,controller design,H_?reduced-order filter design and fault detection control algorithms for discrete-time T-S fuzzy systems.The research contents of this paper are as follows:Firstly,the problem of stability and controller design for discrete-time T-S fuzzy delayed systems is investigated.By utilizing an improved delay-partitioning technique and the reciprocally convex method,the proposed delay-dependent stability condition is found to be considerably less conservative than the existing results.Then,by employing the parallel distributed compensation(PDC)law,conditions sufficient for the resulting fuzzy controller and the event-triggered fuzzy controller are presented for the close-loop system.Simulation examples verify the effectiveness of the proposed design schemes.Secondly,the goals are to obtain a solution with H_?performance and design a desired reduced-order filter for discrete-time T-S fuzzy stochastic system with time-varying delay.Using the delay-dependent Lyapunov-Krasovskii functional and the reciprocally convex approach,the proposed basis-dependent condition is utilized to guarantee that the filtering error system is mean-square asymptotically stable with H_?performance.Further,the corresponding solution of the reduced-order filter model is obtained,which can be transformed into strict linear matrix inequalities(LMIs)constraints by employing the convex linearization approach.Finally,the based-network fuzzy fault detector and controller coordinated design problem for discrete-time nonlinear system with packet dropouts and network-induced delays is studied.Considering the sensor failure and an improved event-triggered mechanism,a less conservative stability condition for the fuzzy residual system is proposed,which ensures that system is mean-square asymptotically stable with a pre-specified H_?performance.And,the condition of fault detection and controller is obtained by using the variable substitution approach and fault detection conditions.Using matlab software to solve the parameters of fault detector and controller,the simulation results verify its validity.