Technical communique: Robust stabilization of linear discrete-time systems with time-varying input delay

  • Authors:

  • Antonio GonzáLez

  • Affiliations:

  • -

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2013

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Abstract

This paper presents a sufficient condition to stabilize linear discrete-time systems with time-varying input delay and model uncertainties. The key idea consists of applying Artstein's reduction method and the scaled bounded real lemma; the robust stabilization problem is cast as a set of linear matrix inequalities on a transformed delay-free system. Hence, a novel convex characterization of the problem, an alternative to bilinear matrix inequalities in prior literature, is provided. Predictor-based controllers and robust state-feedback stabilization are particular cases of the proposal. Furthermore, numerical examples show that this proposal may improve tolerance against delay variations when compared to other methods available in literature.