Abstract
In this paper, a robust output feedback stabilization method is proposed for discrete-time systems subject to time-varying input delay. By introducing an augmented state, the robust stabilization problem is converted into that of a delay-free system. Using Artstein's reduction method and the scaled-bounded real lemma, sufficient conditions for robust stability are established via matrix inequalities, by which the output feedback controller can be derived. A tuning parameter is introduced to efficiently solve these matrix inequalities, therefore facilitating the improvement of control performance. An illustrative example is used to show the effectiveness and merit of the proposed method.
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