H∞ control design for fuzzy discrete-time singularly perturbed systems via slow state variables feedback: An LMI-based approach

  • Authors:

  • Jiuxiang Dong;Guang-Hong Yang

  • Affiliations:

  • College of Information Science and Engineering, Northeastern University, Shenyang 110004, PR China and Key Laboratory of Integrated Automation of Process Industry (Ministry of Education), Northeas ...;College of Information Science and Engineering, Northeastern University, Shenyang 110004, PR China and Key Laboratory of Integrated Automation of Process Industry (Ministry of Education), Northeas ...

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

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Abstract

This paper addresses the H"~ control problem via slow state variables feedback for discrete-time fuzzy singularly perturbed systems. At first, a method of evaluating the upper bound of singular perturbation parameter @e with meeting a prescribed H"~ performance bound requirement is given. Subsequently, two methods for designing H"~ controllers via slow state variables feedback are presented in terms of solutions to a set of linear matrix inequalities (LMIs). In particular, one of them can be used to improve the upper bound of the singular perturbation parameter @e. Finally, two numerical examples are given to illustrate the effectiveness of the proposed methods.