Study On Robust H_∞Control And Guaranteed Cost Control For Neutral System With Time Delays

Many control system will always unavoidably meet many uncertainty interference inthe real life, so the uncertain neutral systems have been extensively developed recently.Uncertainty and time delay are often lead to actual engineering system performance lowand unstable. So, how to inhibit delay and uncertain is become a hot topic in the currentinternational. So, the study on uncertain delay system will have a theoretical and practicalvalue. In this paper, we will study on robust stability and guaranteed cost control for somekind of uncertain delay neutral systems.In chapter two, the robust guaranteed cost control problem of a class of uncertainseveral time-delays neutral system is considered. The purpose of this chapter is to get thesufficient condition of robust stability and the design method of guaranteed cost controllerof the system. In this chapter, By constructing proper Lyapunov-krasovskii function andusing lyapunov stability theory and LMI methods, in the robust asymptotic stabilityconditions. We got the condition of existence of a robust guaranteed cost control. Finally,a numerical example is shown to prove the usefulness of the approaches.In chapter three, the problem of robust H_∞control for a class of uncertainnon-linear generalized neutral systems is studied. The purpose of this chapter is to get thesufficient condition of robust H_∞control stability and the design method of the controller.Based on Lyapunov stability theory and linear matrix inequalities, this chapter presentssufficient conditions of a robust asy mptotically stable and design a robust H_∞controller onthe basis. Finally, a numerical example is to expresses the effectiveness of the approachespresent in this chapter.In chapter four, the robust guaranteed cost control problem for a class of uncertainnon-linear generalized neutral systems is studied. The purpose of this chapter is to get thesufficient condition of robust asymptotically stability of the closed-loop system and aupper bound which makes the corresponding cost function not more than the upper bound.Based on Lyapunov stability theory and linear matrix inequalities, we obtain the sufficientconditions of the robust asymptotic stability and the design method of robust guaranteedcost controller. Finally, a numerical example is shown to illustrate the correctness of theapproaches.