Research On The Problem Of Robust Control For Uncertain Time-delay Systems

This paper studies the problem of robust control for uncertain time delay systems. Firstly, the robust control theory and the current research and development situation of uncertainty, and then give the theorems and lemmas used, then aimed at the uncertain time-delay systems with several different classes, study on the design method of the system robust stability conditions and robust controller. Results are as follows:1. For a class of singular time-delay systems with uncertainties and time-varying characteristics, the variance of generalized system control theory, Lyapunov stability theory and linear matrix inequality method based on singular time-delay systems, the design of state feedback controller for uncertain method is given. A numerical example is given to verify the feasibility of the method.2. Discuss the non fragile guaranteed cost robust control for a class of uncertain linear singular systems with delay. By using Lyapunov theory and linear matrix inequality method, gives the system design method of controller gain with perturbation of the non fragile guaranteed cost controller, design method only depends on a set of linear matrix inequalities. calculation simple, easy to verify.3. Considering the guaranteed cost control problem for a class of time-delay systems with disturbance and uncertainty of linear and nonlinear elastic, the nonlinear disturbance is containing the state and delayed state nonlinear perturbation, the sufficient condition of robust stability is given. Based on the Lyapunov theory and linear matrix inequality method, gives the system design method of controller gain has added flexibility when the perturbation of the guaranteed cost controller, a numerical example is given to demonstrate the feasibility of the design method.