Observer-based Robust Control For Singular Time-delay Systems With Actuator Saturation

The analysis and control for singular time-delay systems with input saturation have gradually become one of the focus problems for many scholars, compared with the normal system, uncertain singular system with time-varying delay and actuator saturations is a kind of power systems which has a broader form and closer to the actual engineering. The phenomenon of time-delay, uncertainty and input saturation are important factors which affect the stability and the performance of systems. Therefore, studying the problems of the stability and the observer-based control for uncertain singular time-delay systems with saturation factor has important theoretical and practical value.This dissertation studies the problem of the stability analysis, observer-based robust control for uncertain time-delay singular systems subject to actuator saturations by using Lyapunov stability theory, combining with the method of Wirtinger integral inequality and free-weighting matrix. Then, the problem of observer-based control for uncertain time-delay singular Markov jump system subject to actuator saturations is discussed.The main research contents of this paper are as follows:First of all, the problem of observer-based robust Hï¿¥ control for the uncertain time-delay singular system subject to actuator saturations is discussed. By using Wirtinger integral inequality and the linear matrix inequality(LMI) methods, the conditions which guarantee that the system is stable with Hï¿¥ performance are given. Then, the method of observer-based Hï¿¥ controller design is presented. Numerical examples are provided to demonstrate the validity and the superiority of the proposed method.Secondly, by constructing a kind of dynamic observer which has a more extensive form, the problem of robust passive control for a class of uncertain singular time-varying delay systems with actuator saturations is discussed. By choosing an appropriate Lyapunov function and using free-weighting matrix approach, a sufficient condition which guarantees that the systems are regular, impulse free and stable with passive performance level is given. Then, based on the obtained condition, the design method of an observer-based passive controller is obtained. Then, by numerical example and simulation results, an observer and a corresponding controller is designed.Finally, the problem of the observer design and robust controller design for a class of uncertain Markov jump singular systems with time-varying delays and input saturation is discussed. By using the weak infinitesimal generator and appropriate integral inequality transformation, a delay-dependent criterion which guarantees that the stochastic singular systems are regular, impulse free and stochastically stable is given. Then, the corresponding observer and robust Hï¿¥ controller are designed. The numerical example demonstrates the feasibility of the proposed method.