不確定要素を含む特異摂動システムのロバスト安定化 Robust Stabilization of Singularly Perturbed Systems with Uncertainties

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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.

This paper considers the robust stabilization of singularly perturbed systems with time-varying unknowbut-bounded uncertainties. The <i>H</i><sub>∞</sub> 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.

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  • 電気学会論文誌. D, 産業応用部門誌 = The transactions of the Institute of Electrical Engineers of Japan. D, A publication of Industry Applications Society  

    電気学会論文誌. D, 産業応用部門誌 = The transactions of the Institute of Electrical Engineers of Japan. D, A publication of Industry Applications Society 119(2), 159-167, 1999-02 

    電気学会

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各種コード

  • NII論文ID(NAID)
    10002817560
  • NII書誌ID(NCID)
    AN10012320
  • 本文言語コード
    JPN
  • 資料種別
    ART
  • ISSN
    09136339
  • NDL 記事登録ID
    4642832
  • NDL 雑誌分類
    ZN31(科学技術--電気工学・電気機械工業)
  • NDL 請求記号
    Z16-1608
  • データ提供元
    CJP書誌  CJP引用  NDL  IR  J-STAGE 
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