Optimal quadratic guaranteed cost control of a class of uncertain time-delay systems

This paper is concerned with the design of robust state feedback controllers for a class of uncertain linear time-delay systems with norm-bounded uncertainty. The state feedback results extend previous results on quadratic guaranteed cost control to the case of uncertain time-delay systems. This is done by the authors' definition of quadratic stability for uncertain time-delay systems with norm bounded uncertainty. It is shown that the state feedback controller can be constructed via solution of a parameter dependent Riccati equation.