Analysis Of Fuzzy Switching System And Design Of Robust Controller

If the subsystem of a switching system is a fuzzy system,it is called a switching fuzzy system.It adds discrete events to the system with continuous dynamic variables.Based on the switching system theory and the fuzzy system theory,combined with the switching and fuzzy characteristics,this kind of system can more accurately describe the fuzzy characteristics,the interaction and operation of continuous and discrete dynamics in the actual system model Therefore,it is of great theoretical and practical significance to combine the switching system with the fuzzy control theory.Based on the previous research results,this paper further explores the stability analysis and controller design of fuzzy switching system.The whole paper is divided into five chapters.The main research contents are as follows:For nonlinear switched T-S fuzzy systems with dead zone and time delay,the output-feedback controller is studied.The system operation process include the nonlinear saturation and uncertainty parts,based on parallel distributed compensation(PDC)technique,a state observer-based output-feedback controller is proposed.The robust fuzzy control law and switching law is also constructed via using the Lyapunov function method,respectively.The sufficient stability conditions are proposed and parameterized in terms of linear matrix inequalities(LMIs).The effectiveness of the approach is verified through MATLAB simulation.For discrete-time T-S fuzzy Markov jump systems(FMJSs)with randomly occurred quantization and norm-bound parameter uncertainties,the problem of asynchronous Hm filtering is discussed.The asynchrony refers to the situation that the plant state and the filter state belong to different local state space regions,and the randomly occurred quantization is introduced to describe the quantisation phenomenon appearing in a probabilistic way.The aim is to design an asynchronous H? filter for discrete-time T-S FMJSs such that the resulting filtering error system is not only satisfies a prescribed H? performance,but also finite-time bounded for the given conditions.Then,the gains of the filter are obtained by solving a set of linear matrix inequalities(LMISs).Finally,a pendulum model is utilized to illustrate the correctness and reliability of our proposed approach.For slow sampling discrete-time T-S fuzzy Markov jump Singularly Perturbed systems(FMJSPs)with event-triggered scheme,the problem of asynchronous H?filtering is proposed.The aim is to design an asynchronous H? filter for discrete-time T-S FMJSPs such that the resulting filtering error system is not only considers the slow sampling discrete-time Singularly Perturbed systems but also satisfies the event-triggered scheme with the help of hidden Markov model(HMM).Finally,a Resistance Capacitance circuit model is given to demonstrate the validity of the related results and the superiority of the designed filter.