Brief Control of linear systems subject to input constraints: a polynomial approach

  • Authors:
  • Didier Henrion;Sophie Tarbouriech;VladimıR KučEra

  • Affiliations:
  • Laboratoire d'Analyse et d'Architecture des Systèmes, Centre National de la Recherche Scientifique, 7 Avenue du Colonel Roche, 31 077 Toulouse, Cedex 4, France;Laboratoire d'Analyse et d'Architecture des Systèmes, Centre National de la Recherche Scientifique, 7 Avenue du Colonel Roche, 31 077 Toulouse, Cedex 4, France;Department of Control Engineering, Faculty of Electrical Engineering, Czech Technical University in Prague, Technická 2, 166 27 Prague 6, Czech Republic and Institute of Information Theory an ...

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2001

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Abstract

A polynomial approach is pursued for locally stabilizing discrete-time linear systems subject to input constraints. Using the Youla-Kucera parametrization and geometric properties of polyhedra and ellipsoids, the problem of simultaneously deriving a stabilizing controller and the corresponding stability region is cast into standard convex optimization problems solved by linear, second-order cone and semidefinite programming. Key topics are touched on such as stabilization of multi-input multi-output plants or maximization of the size of the stability domain. Readily implementable algorithms are described.