Robust H∞ guaranteed cost control for uncertain delayed switched singular systems

This paper considers the problems of robust H∞ guaranteed cost control and feedback stabilization for a class of uncertain switched singular systems with delay. A new sufficient condition for the existences of robust H∞ guaranteed cost controller and switching strategy are given by constructing the generalized Lyapunov function and taking linear matrix inequality, and the designed state feedback controllers ensure that the closed-loop systems satisfy guaranteed cost index with a presented H∞ disturbance attenuation level γ and cost function has an upper bound for allowed uncertain parameters. Moreover, a convex optimization problem with LMIs constraints is formulated and solve by using the LMI toolbox in Matlab, the design approaches of robust H∞ guaranteed cost controller are obtained. Finally, an illustrative example shows the effectiveness of the proposed method.