Output feedback LMI tracking control conditions with H∞ criterion for uncertain and disturbed T-S models

  • Authors:

  • B. Mansouri;N. Manamanni;K. Guelton;A. Kruszewski;T. M. Guerra

  • Affiliations:

  • CReSTIC, EA3804, Université de Reims Champagne-Ardenne, Moulin de la House BP1039, 51687 Reims Cedex 2, France;CReSTIC, EA3804, Université de Reims Champagne-Ardenne, Moulin de la House BP1039, 51687 Reims Cedex 2, France;CReSTIC, EA3804, Université de Reims Champagne-Ardenne, Moulin de la House BP1039, 51687 Reims Cedex 2, France;LAGIS, UMR CNRS 8146, Ecole Centrale de Lille, BP48, 59651 Villeneuve d'Ascq Cedex, France;LAMIH, UMR CNRS 8530, Université de Valenciennes et du Hainaut Cambrésis, Le Mont Houy, 59313 Valenciennes Cedex 9, France

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2009

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Abstract

This work concerns the tracking problem of uncertain Takagi-Sugeno (T-S) continuous fuzzy model with external disturbances. The objective is to get a model reference based output feedback tracking control law. The control scheme is based on a PDC structure, a fuzzy observer and a H"~ performance to attenuate the external disturbances. The stability of the whole closed-loop model is investigated using the well-known quadratic Lyapunov function. The key point of the proposed approaches is to achieve conditions under a LMI (linear matrix inequalities) formulation in the case of an uncertain and disturbed T-S fuzzy model. This formulation facilitates obtaining solutions through interior point optimization methods for some nonlinear output tracking control problems. Finally, a simulation is provided on the well-known inverted pendulum testbed to show the efficiency of the proposed approach.