Stability Analysis And Filter Design Of Neutral Markov Jump Systems Based On T-S Fuzzy And HMM Mechanism

In networked control systems,the fault-tolerant control system and other physical and engineering systems,Markov jump system in such aspects as environmental change,system fault and repair can establish effective mathematical models.In recent decades,the research for Markov jump system to obtain rapid development,and the stability analysis and filter design for Markov jump system have been studied extensively,and achieved good results,including the filter design problem of Markov jump systems.As far as the author knows,there is a lack of conclusions about the filter design for the neutral Markov jump system and the Takagi-Sugeno(T-S)fuzzy model Markov jump system.The purpose of this paper is to design H_?filter for the neutral Markov jump system and mixed passive and H_?filter for the Takagi-Sugeno model Markov jump system.For this reason,the Lyapunov candidate functional is designed,and the free weight matrix technology is used to obtain some more relaxed conditions for the stability analysis of Markov jump system and the time-delay derivative of filter design.It mainly includes the following aspects:In the first part,the research backgrounds and current situations of Markov jump systems are briefly introduced,and the research significances of the stability analysis and filter design of Markov jump system and the main results of this paper are expounded.In the second part,by using free weight matrix(FWM)technique,the stability conditions of delay dependent are obtained under the framework of Lyapunov stability theory.Based on those results,the delay dependent conditions for full order and mode dependent Markovian jump linear filters are gained,which are expressed by linear matrix inequalities(LMIs).Finally,a numerical example and partial element equivalent circuit(PEEC)practical example are employed to prove the validity of the results.In the third part,new time delay-dependent stability conditions for the fuzzy Markov jump systems are obtained by constructing a mode-dependent Lyapunov functional and introducing FWM technique.Secondly,the asynchronous filter is designed via hidden Markov model(HMM),which can ensure stochastic stability and the mixed passivity and H_?performance of the augmented Markovian jump filtering error system.A numerical example and a single-link robot arm model are utilized to show the effectiveness of the method.In the fourth part,the research content of this paper is summarized and the future research direction is prospected.