Output linear controller for a class of nonlinear systems using the invariant ellipsoid technique

  • Authors:

  • S. Gonzalez-Garcia;A. Polyakov;A. Poznyak

  • Affiliations:

  • Department of Automatic Control, CINVESTAV, México D.F., México;Department of Automatic Control, CINVESTAV, México D.F., México and Department of Applied Mathematics, Voronezh State University, Voronezh, Russia;Department of Automatic Control, CINVESTAV, México D.F., México

  • Venue:
  • ACC'09 Proceedings of the 2009 conference on American Control Conference
  • Year:
  • 2009

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Abstract

This paper deals with the problem of robust stabilization of an uncertain nonlinear system with output measurements using the invariant ellipsoid method. The non-linear system is uncertain but bounded according to a 'quasi-lipschitz' condition and the output measurements are subjected to perturbations bounded by ellipsoids.The invariant ellipsoid method allows to obtain the robust linear feedback as a solution of the special linear optimization problem with bilinear constraints. The methods for solving this optimization problem involves the LMI technique. The stabilization of the double mass-spring system is considered as an illustrative example.