Research On The Output Regulation Problem Of Switched System Based On The Sampled-data Control

Switched system is a kind of hybrid system with simple structure.It has attracted much attention from scholars because of the importance of its theory and the extensiveness of its practical application.With the development of science and technology,the high-precision requirements of the actual industrial systems are paying more and more attention to some random factors that affecting the performance of the system.Although the consideration of random factors increases the difficulty of performance analysis of the stochastic switched systems,the research on such models has important practical significance.The output regulation problem is one of the important problems in control theory.The research on the output regulation problem of linear switched systems and stochastic switched systems have made some progress,but there are still many problems to be solved urgently.The rapid development of computer network has prompted many practical control systems to adopt the sampled-data control strategy.The application of sampled-data control can effectively improve the accuracy of the system control,and the anti-interference performance of the controlled system and the utilization ratio of the controller are greatly improved.As far as we know,the research results on the output regulation of switched systems based on sampled-data control are very limited.Based on the sampled-data control,the output regulation problem of linear switched systems and stochastic switched systems are studied in this paper.The main research contents are summarized as follows:(1)Based on the sampled-data control,the output regulation problem of linear switched systems is studied.Firstly,the sufficient conditions for the stability of the closed-loop system are given by using the relationship between sampling period and dwell time.Secondly,the sampling controller and the switching signal satisfying the average dwell time are designed,when the exogenous signal is constant,the output regulation problem is guaranteed to be solvable.Finally,by introducing the free weight matrices,the practical output regulation problem of the closed-loop system with time-varying exogenous signal(whose derivative is bounded)is solved.(2)For stochastic switched systems,the problem of output regulation under sampled-data control is studied.For the exogenous signal which generated by the exosystem,two forms are considered: the constant form and the time-varying with derivative bounded form.Based on this scheme,a class of Lyapunov-Krasovskii functional is constructed,and a switching strategy satisfying the average dwell time is designed to ensure the mean square exponential stability of the closed-loop system and the solvability of the output regulation problem under the constant exogenous signal.When the exogenous signal is time-varying(derivative bounded),a sampling state feedback controller is designed.By combining the free-weighting matrix method and the relationship between the sampling period and the dwell time,the practical output regulation problem of the closed-loop system is solved.Finally,the research content of the full text is summarized,and the next research plan is proposed.