Guaranteed cost control of uncertain discrete-time systems with delay in state

This paper considers the problems of robust guaranteed cost control of linear discrete time- delay systems with parametric uncertainties. By linear matrix inequality (LMI) approach, the robust quadratic stability of the system is studied. A control design method is developed such that the closed-loop system with a cost function has a upper bound irrespective of all admissible parameter uncertainties and unknown time delays. Furthermore, the upper bound (cost) can be optimized by incorporating with a minimization problem.