Research On Non-fragile Feedback Control Of Time-delay Stochastic Markov Jump Systems Based On Observer And Quantized Output

With the development and application of modern control theory,the state space model of the system has become an important mathematical model.As a vital class of hybrid systems,Markov jump systems have attracted extensive attention in the past decades due to their advantages in describing structural or parameter mutations of real systems,such as power systems,manufacturing systems,aerospace systems,etc.This paper will research the non-fragile state feedback control and non-fragile mixed passivity andH_?feedback control of stochastic Markov jump systems and fuzzy stochastic Markov jump systems with uncertain parameters and mode-dependent time-varying delays.The paper mainly includes the following aspects:1.The problem of non-fragile state feedback control for stochastic Markov jump systems with uncertain parameters and time-varying delay-dependent is considered.By using the improved Lyapunov-Krasovskii functional and the free-weight-matrix technique,a non-fragile state feedback controller is designed.An improved sufficient condition of robust stochastic stability is achieved in the form of linear matrix inequality.The take-off and landing helicopter system is utilized to demonstrate the effectiveness of the proposed method.2.The problem of non-fragile mixed passivity andH_?state feedback control of stochastic Markov jump systems based on observer and quantized measurements is researched.A mode-dependent Lyapunov-Krasovskii functional is constructed.Improved stability sufficient conditions are obtained by using the free-weight-matrix technique.A suitable observer-based non-fragile feedback controller is proposed.A RLC circuit model is given to verify the correctness of the proposed method.3.For the Takagi-Sugeno fuzzy stochastic Markov jump system based on observer and quantized measurements,the non-fragile mixed passivity andH_?state feedback control problem of fuzzy stochastic Markov jump system with time-delay and norm-bounded uncertain parameters is studied.An effective observer-based non-fragile feedback controller is proposed to enhance the mixed passivity andH_?stochastic stability of the performance of fuzzy stochastic Markov jump systems.At the end,a truck-trailer model is submitted to verify the effectiveness of the proposed method.