A new approach to robust guaranteed cost control for uncertain multimodeling systems

  • Authors:

  • Hiroaki Mukaidani

  • Affiliations:

  • Graduate School of Education, Hiroshima University, 1-1-1 Kagamiyama, Higashi-Hiroshima 739-8524, Japan

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2005

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Abstract

The guaranteed cost control problem for multimodeling systems with norm bounded uncertainty is investigated. The main contribution in this paper is that a new @?-independent controller is derived by solving the reduced-order slow and fast algebraic Riccati equations (AREs) whose dimension is smaller than the dimension of full-order multiparameter algebraic Riccati equation (MARE). It is shown that if these AREs have a positive definite stabilizing solution then the closed-loop system is quadratically stable and has the cost bound.