H∞ memory state feedback control for uncertain nonlinear switched singular systems with time-varying delay

This paper considers the issues of H_∞ control and memory state feedback stabilization for a class of uncertain time-varying delayed switched singular systems with nonlinear disturbance. Suppose that the uncertain parameters are norm-bounded, sufficient conditions for the existences of robust H_∞ memory state feedback controller in terms of linear matrix inequalities(LMIS) and switching rules are presented based on the generalized Lyapunov function and linear matrix inequality approach, and the designed controllers ensure that the closed-loop systems satisfy the index with a presented H_∞ disturbance attenuation level γ. Then, an illustrative example is solved by using the LMI toolbox in Matlab, showing the effectiveness of the proposed method.