| Switched systems have drawn more and more attention from the scholars because of their great value in theoretical study and their broad engineering background. Meanwhile, Delta operator or transformation as a new discretization method have got a great interest of the scholars in the control and signal deleted area. Considering the study of Delta operator switched system is not overall and deep? robust H∞control and filtering problems for a class of parameter uncertain switched systems using Delta operator are discussed in this paper, based on average dwell time approach and linear matrix inequalities (LMIs) method. The main contributions are as follows.Robust H∞control problem for a class of parameter uncertain switched system using Delta operator is studied. Firstly, a sufficient condition for the existence of stability of the parameter uncertain Delta operator switched systems is presented in terms of LMI, and the H∞performance is analyzed, Furthmore, the sufficient existence conditions and designing method of robust H∞controller are proposed.On the basis of robust stability, the problem of robust reliable control for uncertain switched systems using Delta operator is studied. Through fault modeling, a sufficient condition for the existence of reliable controller of the parameter uncertain Delta operator switched system is presented in terms of LMI, and designing method of robust reliable controller is proposed, the robust reliable controller that designed guarantee the closed-loop system to be exponentially stable.Comparing with the control problem of the system, robust H∞filtering problem is also of great importance. Thus, the problem of robust H∞filtering of Delta operator switched system is studied in this paper. Based on average dwell time approach, the exponentially stable for the filtering error system and H∞performance is analyzed firstly, then, by LMIs technology, the robust H∞filter parameters of Delta operator switched system can be obtained by solving a set of LMIs. |
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