Uncertain Continuous Markov Switched System Of Fuzzy Sliding Mode Control

Switched system belongs to the hybrid system, which reflected theparticularity and importance in numerous contemporary systems. The switchedsystem is a special and important class of hybrid system, which mainly studiesdirection from point of control science, is an important direction on hybridsystem theory study. In engineering practice, many practical systems haveperturbation and disturbance, which is the source of vibration and unsteadiness.In hybrid system, the Makov switched system is very typical, and which systemhas perturbation and disturbance. So, it is very difficult to research the system. Inmodern, the Markov switched system has very important role in all kinds ofhybrid systems.Sliding mode control as a special class of nonlinear control, its uniqueadvantage is the invariability for sliding mode dynamic of the system meetingconditions of uncertainty, which is the robustness. The most widely applicationof sliding mode control in the robust control，the fuzzy control technology isdeveloping rapidly, and which is combined with other disciplines also. Inaddition, based on the efficiency and complexity of modern industrial system,their reliability and security are paid more attention. In recent years, in theprocess of the development of the discipline of many, We apply the fuzzy controltheory in the sliding mode control theory, so that we have proposed a new methedto improve the reliability of the system.This paper is devoted to the uncertain continuous Markov switched system.Introducing sliding mode variable structure control method based on multipleLyapunov function and LMI theory. We design sliding mode controller for thesystem, and we analysis the system movement under the action of the controller.Then, we are combining fuzzy control and sliding mode control theory appliedto the system. Make the simulation for system under the action of both controller, and compare the characteristics of two kinds of controller.Finally, making summary of the full work, some inadequacies are proposed.