초록
This paper presents an H\ulcorner controller design method for linear time-invariant systems with delayed state and control. Using the second method of Lyapunov, the stability for delayed systems is discussed. For delayed systems, we derive a sufficient condition of the bounded real lemma(BRL) which is similar to GBRL for nondelayed systems. And the sufficent conditions for the existence of an H\ulcorner controller of any order are given in terms of three linear matrix inequalities(LMIs). Further, we briefly explain how to construct such controllers from the positive definite solutions of their LMIs and gie a simple example to illustrate the validity of the proposed design procedure.