Brief paper: The return difference for discrete-time optimal feedback systems

  • Authors:
  • Jacques L. Willems;Herman van de Voorde

  • Affiliations:
  • Engineering School, University of Gent, Gent, Belgium;Engineering School, University of Gent, Gent, Belgium

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1978

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Abstract

This brief paper deals with the return difference function and the inverse optimal control problem for linear single-input discrete-time systems with a quadratic performance criterion. It is pointed out that there are essential differences with respect to the case of continuous-time systems. The effect of these differences on the stability margins and the sensitivity properties of optimal feedback discrete-time systems is analysed.