Admissibility Analysis And Stabilization Control Of Generalized TS Fuzzy Systems With Time Dela

Singular system is also called singular state-space system,differential algebraic system and description system.It is a kind of systems comprehensively described by differential and algebraic equations.Compared with general systems,singular systems have a wider scope of application.In practical applications,most of the control systems are nonlinear systems,and the T-S fuzzy model uses a series of fuzzy membership functions to represent the local linear input-output relationship through the "IF-THEN" fuzzy rule,which can theoretically approximate any nonlinear dynamic system,so it has a broader practical application background.In addition,as a typical feature of signal transmission,time delay is inevitable in many dynamic systems,and the existence of time delay may lead to system performance degradation or even instability.Therefore,the study of singular time-delay T-S fuzzy systems has very important practical significance.This thesis mainly studies the admissibility analysis and stabilization control for singular time-delay T-S fuzzy systems.The main research contents of this thesis are as follows:1.For the singular time-delay T-S fuzzy systems,the admissibility analysis and stabilization are studied.Firstly,an asymmetric L-K functional method is proposed to reduce the restriction on matrix variables in the functional for the admissibility analysis problem,and the conservatism is further reduced by combining the method of membership function dependent.The sufficient conditions for judging the admissibility of singular timedelay T-S fuzzy systems in the form of linear matrix inequalities are obtained.Secondly,a memory state feedback controller is designed to stabilize the closed-loop system.Finally,the numerical simulation results are discussed to verify the effectiveness and superiority of the proposed method.2.For the singular time-delay T-S fuzzy systems,a new observer design method is proposed.An asymmetric L-K functional related to membership function is constructed,which relieves the restriction of positive definite and symmetric matrices in the functional.The sufficient conditions for the error systems to be admissible are given in the form of linear matrix inequalities.Then an observer-based memory state feedback controller is designed to make the closed-loop system admissible,and the sufficient conditions for the solvability of the observer-based feedback control stabilization controller design using asymmetric L-K functional are obtained.Finally,numerical simulation is used to verity the effectiveness and superiority of the proposed method.