Iterative Methods for the Mixed <i>H</i><sub>2</sub>/<i>H</i><sub>∞</sub> Control System Design Using <i>H</i><sub>2</sub> Norm Decreasing Controller Sequences

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  • KAMI Yasushi
    Faculty of Computer Science and Systems Engineering, Kyushu Institute of Technology
  • NOBUYAMA Eitaku
    Faculty of Computer Science and Systems Engineering, Kyushu Institute of Technology

Bibliographic Information

Other Title
  • <i>H</i><sub>2</sub>ノルムを単調減少させる制御器列を用いた混合<i>H</i><sub>2</sub>/<i>H</i><sub>∞</sub>制御系設計法
  • Iterative Methods for the Mixed H2/H^|^infin; Control System Design Using H2 Norm Decreasing Controller Sequences

Abstract

This paper is concerned with the mixed H2/H∞ control problem. The purpose of this paper is to give iterative methods for obtaining a sub-optimal solution for the mixed H2/H∞ control problem. The key idea of our methods is to construct “controller sequences” that converge to the H2 optimal controller. Using the controller sequences two iterative algorithms are proposed. The obtained controller is either the global optimal solution or a sub-optimal solution on the boundary of the H∞ constraint. The effectiveness of the proposed methods is shown by numerical examples.

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