Robust Stabilization of Singularly Perturbed Systems with Uncertainties

• Mukaidani Hiroaki

  Hiroshima City University

• Mizukami Koichi

  Hiroshima University

Bibliographic Information

Other Title

• 不確定要素を含む特異摂動システムのロバスト安定化
• フカクテイ ヨウソ オ フクム トクイセツドウ システム ノ ロバスト アンテイカ

Abstract

This paper considers the robust stabilization of singularly perturbed systems with time-varying unknowbut-bounded uncertainties. The H_∞ control method are used to establish the stability of the closed-loop system. The construction of the stabilizing controller involves solving a certain algebraic Riccati equation with small parameter ε > 0. In order to overcome the computation difficulties caused by small parameter ε, we propose the ε-less quadratically stabilizing controller by using the results of the solution for above a algebraic Riccati equation. It is shown that if the reduced order Riccati equations have a positive definite stabilizing solution then the given uncertain linear system with the proposed controller independ of ε is quadraticaly stabilizable. To show the effectiveness of the proposed algorithm, numerical examples are included.

Journal

• IEEJ Transactions on Industry Applications

  IEEJ Transactions on Industry Applications 119 (2), 159-167, 1999

  The Institute of Electrical Engineers of Japan

Keywords

• 特異摂動システム
• 2次安定化
• <i>H</i>_∞制御理論
• ゲーム型リカッチ方程式
• 有界実補題

Details

• CRID: 1390001204659347072
• NII Article ID: 10002817560
• NII Book ID: AN10012320
• DOI: 10.1541/ieejias.119.159
• ISSN: 13488163
• ISSN: 09136339
• NDL BIB ID: 4642832
• Web Site: http://ir.lib.hiroshima-u.ac.jp/00029434
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4642832
• Web Site: http://www.jstage.jst.go.jp/article/ieejias1987/119/2/119_2_159/_pdf
• Data Source:
  • JaLC
  • IRDB
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed