Technical communique: A note on asymptotic stabilization of linear systems by periodic, piecewise constant, output feedback

  • Authors:

  • J. C. Allwright;A. Astolfi;H. P. Wong

  • Affiliations:

  • Electrical and Electronic Engineering Department, Imperial College London, Exhibition Road, London SW7 2BT, UK;Electrical and Electronic Engineering Department, Imperial College London, Exhibition Road, London SW7 2BT, UK;Electrical and Electronic Engineering Department, Imperial College London, Exhibition Road, London SW7 2BT, UK

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2005

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Abstract

This note studies the asymptotic stabilization problem for controllable and observable, single-input single-output, linear, time-invariant, continuous-time systems by means of memoryless output feedback of the form u(t)=k(t)y(t), with k(t) periodic and piecewise constant. A necessary and sufficient condition, together with a simpler to test sufficient condition, given in terms of a bilinear matrix inequality, is presented. A few illustrative examples complete the paper.