ROBUST NON-FRAGILE H ∞ CONTROL FOR A CLASS OF UNCERTAIN SINGULAR SYSTEMS WITH MULTIPLE

Abstract. This paper focuses on the design problem of robust non-fragile H ∞ state-feedback controller for singular system with varying delays and un-certainties. First, by using the method of linear matrix inequality(LMI), the condition is obtained, which guarantees that the time-delays singular system with uncertainty is robust stable, then the conditions for the existence of a robust non-fragile H ∞ state-feedback controller and design method are given so that the system is stabilizable and satisfies a prescribed H ∞ performance in-dex. Finally, an example is given to illustrate the effectiveness of the proposed method