| In recent years, switched system as the most typical representative of hybrid systems has attracted the concern of many scholars. At the same time, because of its extensive engineering background, singular system has increasingly catch researchers' attention. So the study of switched singular system has been given great interest and become the focus in the control area.Therefore, based on the Lyapunov function method and the average dwell time method, the problem of control and filter design for a class of delay switched singular systems is investigated in this dissertation. The main contributions are as follows:Study the problems of H∞reliable control for switched singular systems. Discuss exponential admissibility for switched singular systems with delay or interval time-varying delay based on the average dwell time method and LMI, the conclusion could also apply to regular switched systems and singular systems. On the basis of this, further analyze system's weight H∞performance. Then a kind of design method of reliable stabilization for switched singular systems with actuator failures is presented.Considering that convergence is the critical performance indicators of the control system and the real system likes to achieve the optimal performance as short as possible, so the finite-time control problem of switched singular system is studied for the first time. Some definitions of switched singular system under finite-time control are presented. Then the bounded conditions, H∞control and robust H∞control performance are given in the form of the LMIs based on the average dwell time approach.The problem of the exponential H∞filtering design for switched singular time-delay system is addressed. Using the average dwell time approach, we propose the exponential admissibility and the H∞performance for the filtering error system under the switching signal. In terms of LMIS, a sufficient condition for existence of the desired filter is given and the filter parameters are solved as well. |
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