Static output feedback control design for descriptor systems

  • Authors:
  • Mohamed Yagoubi

  • Affiliations:
  • Institut de Recherche en Communications et Cybernétique de Nantes, UMR, CNRS, Nantes Cedex 3, France and Ecole des Mines de Nantes, Nantes, France

  • Venue:
  • Journal of Control Science and Engineering
  • Year:
  • 2010

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Abstract

The static output feedback (SOF) synthesis problem for descriptor systems is considered in this paper. LMI-based algorithms are proposed to find potentially structured SOF gains ensuring admissibility and even H∞ performance of the closed-loop system. These algorithms are then used to propose a (descriptor) observer-based H∞ controller design method. An alternative technique for determining such separated estimation/control structure, after the design step, is also proposed. Several numerical examples, throughout the paper, demonstrate the effectiveness of the proposed algorithms.