On the <i>H</i><sub>∞</sub> Control System Design Attenuating Initial State Uncertainties

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  • NAMERIKAWA Toru
    Department of Mechanical Engineering, Nagaoka University of Technology
  • FUJITA Masayuki
    Department of Electrical and Electronic Engineering, Kanazawa University
  • SMITH Roy S.
    Department of Electrical and Computer Engineering, University of California
  • UCHIDA Kenko
    Department of Electrical Engineering and Bioscience, Waseda University

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  • On the H∞ Control System Design Attenuating Initial State Uncertainties
  • On the H Control System Design Attenuating Initial State Uncertainties
  • On the H^|^infin; Control System Design Attenuating Initial State Uncertainties

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Abstract

This paper deals with the H∞ control attenuating initial-state uncertainties. An H∞ control problem, which treats a mixed attenuation of disturbance and initial-state uncertainty for linear time-invariant systems in the infinite-horizon case, is examined. The mixed attenuation supplies H∞ controls with good transients and assures H∞ controls of robustness against initial-state uncertainty. We derive a necessary and sufficient condition of the generalized mixed attenuation problem. Furthermore we apply this proposed method to a magnetic suspension system, and evaluate attenuation property of the proposed generalized H∞ control approach.

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