Non-fragile robust H∞ control for a class of switched uncertain singular systems with uncertainties

This paper deals with the problem of robust H∞ control for uncertain switched singular systems. The problem we address is the design of a state feedback non-fragile robust H∞ controller, such that the resulting closed-loop system are not only robust but also satisfy H∞ performance, moreover, also satisfy proper performance when controller changes. and thus have better adaptability against variety of the environment parameters. Based on a proper Lyapunov function and strict linear matrix inequality (LMI) approach, A sufficient condition for the solvability of the non-fragile robust H∞ control via state feedback was proved and presented. Finally, a numerical example is given to demonstrate the applicability of the proposed method.