H ∞ performance analysis for a class of time delayed singularly perturbed systems within finite frequency range

This paper investigates the problem of H ∞ performance for the time delayed singularly perturbed systems within finite frequencies (FF) range. Firstly, with certain conditions, the time-delayed singularly perturbed systems are divided into two subsystems, then via time partitioning technique and generalized KYP lemma, sufficient conditions which make the degraded subsystems (the slow subsystem and fast subsystem) satisfy H ∞ performance could be derived in terms of solving an optimization problems. In this paper, it could be shown that the H ∞ performance for the original systems could be deduced from its subsystems. An example is given to illustrate the methods using in this paper is efficient.