Robust H∞ control of uncertain descriptor system with time-delay

This paper has addressed the H_∞ design problem of the state-feedback controller for uncertain descriptor system with time-delay. Based on the Lyapunov method , it was proven that the existence condition of such controllers is equivalent to a linear matrix inequality feasibility. A parameterized representation of the controller is characterized in terms of the feasible solutions to the LMI . Finally, an example is given to illustrate the validity of the proposed method.