Guaranteed cost control for uncertain discrete-time systems with two additive delays

The guaranteed cost control problem is studied in this paper for a class of uncertain linear discrete-time systems with two additive delays, which represent a general class of delay systems with strong application background in network based control systems. The uncertainty in the system is assumed to be norm-bounded. The problem is to design a control law such that the closed-loop system is robustly stable and the cost function value is not more than a specified upper bound for all admissible uncertainties. Two numerical examples are given to show that the proposed result can even produce a lower guaranteed cost than other result in the literature.