Robust non-quadratic static output feedback controller design for Takagi-Sugeno systems using descriptor redundancy

  • Authors:

  • Tahar Bouarar;Kevin Guelton;Noureddine Manamanni

  • Affiliations:

  • IRSEEM EA4353, ESIGELEC, Technopôle du Madrillet Avenue Galilée-BP 10024, Saint-Etienne du Rouvray Cedex 76801, France;CReSTIC EA3804, Université de Reims Champagne Ardennes Moulin de la Housse BP 1039, Reims Cedex 2 51687, France;CReSTIC EA3804, Université de Reims Champagne Ardennes Moulin de la Housse BP 1039, Reims Cedex 2 51687, France

  • Venue:
  • Engineering Applications of Artificial Intelligence
  • Year:
  • 2013

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Abstract

This work concerns robust static output feedback controller (SOFC) design for uncertain and disturbed Takagi-Sugeno (TS) systems using an H-infinity criterion. The main result is based on a descriptor formulation of the closed-loop dynamics. The proposed approach allows avoiding appearance of crossing terms between the controller's and the TS system's input matrices leading to easier LMI formulation than existing studies in the literature. Moreover, the proposed SOFC design conditions do not require any restrictions on the output equation and allow dealing with unmeasurable premise variables. Indeed, taking advantage of the uncertain TS modeling, nonlinearities associated to unmeasurable premises variables can be reported from the nominal part to the uncertainties. To provide LMIs of less conservatism, the results are conducted in the non-quadratic framework. Finally, two numerical examples and a benchmark of a crane system are proposed to illustrate the efficiency of the SOFC design methodology.