Uncertain Linear Systems Of Finite Time H_ Up Control

Linear systems with external disturbance are discussed by Hx control problems. Its specific requirement is to design a dynamic compensator such that the external disturbance of the closed-loop system has inhibitive influence, and when external disturbances are not existence, the dynamic compensator can still make the closed-loop system be asymptotically stable.Finite time controllers have fractional powers, so they would have better ro-bustness and disturbance resistance. In recent years, the finite time control theory has aroused widespread attentions to research.For the moment. finite time H∞control for linear systems are discussed by many documents, but uncertain terms are not considered. In fact, there are various sorts of uncertainties which do not meet the ideal assumptions. Therefor, it is simple to research the finite time H∞control for linear time systems, which is conservative. In this paper, linear control system with uncertain terms is discussed by using finite time H∞control method to design a feedback controllers, which make the closed-loop system be finite time bounded.The main conclusions in this paper are as follows:(1)To be aimed at continuous linear system with uncertain terms, finite time H∞control problems are discussed by this paper, using finite time H∞control theory and Lyapunov theory. The purpose is to design a finite time H∞controller for feedback-loop system, making the feedback-loop system bounded. On the basis of linear matrix inequalities, the given sufficient condition ensure controller existing, finally. some numerical example verify the feasibility of the method.(2) Uncertain finite time H∞control for discrete time linear systems are dis-cussed by using the above mentioned methods. Finally, the feasibility of the method is verified by some numerical example.