Design of performance robust for linear time-delay systems with L2 bounded disturbance

This paper considers the problem of performance robustness design for a class of uncertain linear systems with L₂ bounded disturbance. The quadratic cost function is employed for measuring the system performance. The linear state feedback law constructed by the solutions of linear matrix inequalities (LMI) can make the closed-loop systems asymptotically stable and the performance index less than an upper bound. Making use of the method of convex optimization problems subjected to LMI, the controller that makes the upper bound of the performance index of the closed-loop system can be obtained.