Robust non-fragile H∞ control for non-linear uncertain switched singular time-delay system

Abstract

In this paper, the robust non-fragile H∞, control for non-linear uncertain switched singular time-delay system is studied. Firstly, the decrement of stability of controllers makes them fragile. So we want a controller to be non-fragile, in order to ensure the stability of the system. Secondly, we should contrive to develop a non-fragile controller, by LMIs, Congruent transformation, variable transformation and Schur complement. The solution can be obtained easily because all parameters are linear. Finally, an example is given to show the advantage of the result.