Sampled-data Control For Stochastic Jump Systems

The application of stochastic systems have a wide range of applications in practical en-gineering,involving practical areas such as power control,economic model control,chem-ical processes and biomedicine.Continuous-time Markov jump systems and semi-Markov jump systems are branches of stochastic systems.The research and analysis of such systems can promote the development of stochastic system theory.With the rapid development of computer technology,the digital signal processing method has gradually replaced the ana-log signal processing method,By converting the continuous signal into a discrete signal,the system performance achieves better index requirements,the sampled-data control has received the attention of the majority of research scholars as its high efficiency and practica-bility.Therefore,it is of certain practical significance and theoretical value to investigate sampled-data control for stochastic jump systems.This paper mainly explore the problems of sampled-data control for two kinds of stochastic jump systems.By designing the correspond-ing sampled-data controller,non-fragile control and fault-tolerant control of the stochastic jump systems are realized.The main results of this paper are as follows:Firstly,the study of time-varying delays and nonlinear perturbations are considered for continuous Markov jump systems,the systems are globally fuzzified based on the T-S fuzzy model method.By using the parallel distributed compensation technique,the non-fragile and sampled-data controller is designed to make sure the closed-loop systems are not only finite-time bounded but also are finite-time_?bounded.Combining with the linear matrix inequalities method,the controller gain matrices and the optimal_?performance index are obtained.Secondly,the problem of finite-time reliability control is investigated for Markov jump T-S fuzzy system model with actuator failure and randomly occurring uncertainties.By designing the fault-tolerant and sampled-data controller,combining the Lyapunov functional theory and the integral inequality method,the sufficient criteria can be obtained that the closed-loop systems are finite time_?bounded.The feasible solution and the optimal solution of the systems are obtained by solving the LMIs.Finally,the research on sampled-data control and fault-tolerant control is extended to continuous semi-Markov jump systems,and the robust asymptotic stability problem under the uniform framework of extended-dissipation is considered.By utilizing a new Lyapunov function,convex combination method and Newton-Leibniz formula,the sufficient conditions which the closed-loop systems are asymptotically stable and satisfies extended dissipation performance are obtained.