和分型/差分型状態方程式表現に基づくロバスト制御系の解析/設計条件の関連性について On the Relation between Analysis/Synthesis Conditions for Robust Control System via Expressions of Summational/Difference Type State Equation

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This paper considers robust control analysis and synthesis problems via the expression of our previously proposed summational type state equation. The summational type state equation is a mathematical expression to solve two essential problems, i.e., one of them is a physical problem of discontinuity in mathematical expressions e.g. the controllable canonical form for different orders of the existing state equation, and the other one is an engineering problem of disunification in which continuous-time and discrete-time systems are not described with consistency. First, this paper introduces the summational type state equation. Next, a robust stability analysis condition and a feasible condition for the scaled H_∞ control synthesis problem are derived from the summational type state equation. Furthermore, the relation between analysis/synthesis conditions based on summational and difference type state equations is clarified. Finally, the effectiveness of the summational type state equation is shown by numerical examples on a sensitivity minimization problem. From these results, this paper points out that the summational type state equation is one of possible important mathematical expressions in control theory.

This paper considers robust control analysis and synthesis problems via the expression of our previously proposed summational type state equation. The summational type state equation is a mathematical expression to solve two essential problems, i.e., one of them is a physical problem of discontinuity in mathematical expressions e.g. the controllable canonical form for different orders of the existing state equation, and the other one is an engineering problem of disunification in which continuous-time and discrete-time systems are not described with consistency. First, this paper introduces the summational type state equation. Next, a robust stability analysis condition and a feasible condition for the scaled <I>H</I><SUB>∞</SUB> control synthesis problem are derived from the summational type state equation. Furthermore, the relation between analysis/synthesis conditions based on summational and difference type state equations is clarified. Finally, the effectiveness of the summational type state equation is shown by numerical examples on a sensitivity minimization problem. From these results, this paper points out that the summational type state equation is one of possible important mathematical expressions in control theory.

収録刊行物

  • システム制御情報学会論文誌  

    システム制御情報学会論文誌 19(10), 400-409, 2006-10-15 

    システム制御情報学会

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各種コード

  • NII論文ID(NAID)
    10021999969
  • NII書誌ID(NCID)
    AN1013280X
  • 本文言語コード
    JPN
  • 資料種別
    ART
  • ISSN
    13425668
  • NDL 記事登録ID
    8086706
  • NDL 雑誌分類
    ZM11(科学技術--科学技術一般--制御工学)
  • NDL 請求記号
    Z14-195
  • データ提供元
    CJP書誌  NDL  IR  J-STAGE 
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