Design of PDC fuzzy controllers under persistent disturbances and application in mechanical systems

  • Authors:
  • J. V. Salcedo;M. Martínez

  • Affiliations:
  • Department of Systems Engineering and Control, Universidad Politècnica de Valencia, Camino de Vera S/N, 46022 Valencia, Spain;Department of Systems Engineering and Control, Universidad Politècnica de Valencia, Camino de Vera S/N, 46022 Valencia, Spain

  • Venue:
  • Advances in Engineering Software
  • Year:
  • 2008

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Abstract

This article proposes a method for designing parallel-distributed compensation fuzzy state-feedback controllers for nonlinear systems affected by persistent disturbances. Firstly, some methods proposed in the literature are analyzed and their weak points are discussed. A design scheme based on minimizing the 1-norm between the disturbance signal input and output is then proposed. Specifically, an upper bound on this norm, the *-norm, is minimized, which, unlike the 1-norm, can be formulated in terms of linear and bilinear matrix inequalities. Finally, this method is applied to a nonlinear mechanical system.