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  1. 50 工学研究科
  2. 学位論文

Analysis and design of robust stabilizing modified repetitive control systems

http://hdl.handle.net/10087/7660
http://hdl.handle.net/10087/7660
8a9999cf-47b0-4da4-92d0-882771c18730
名前 / ファイル ライセンス アクション
e-k0466-3.pdf e-k0466-3.pdf (1.3 MB)
Item type 学位論文 / Thesis or Dissertation(1)
公開日 2013-07-30
著者 陳, 中祥

× 陳, 中祥

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陳, 中祥

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タイトル
タイトル Analysis and design of robust stabilizing modified repetitive control systems
言語
言語 eng
その他のタイトル
その他のタイトル ロバスト安定化修正繰返し制御系の解析と設計
キーワード
主題Scheme Other
主題 Repetitive control
キーワード
主題Scheme Other
主題 Modified repetitive controller
キーワード
主題Scheme Other
主題 Position-dependent disturbance
キーワード
主題Scheme Other
主題 Time-varying period time
キーワード
主題Scheme Other
主題 Linear matrix inequality
キーワード
主題Scheme Other
主題 Uncertainty
キーワード
主題Scheme Other
主題 Robusut stability
キーワード
主題Scheme Other
主題 ロバスト安定化
キーワード
主題Scheme Other
主題 修正繰返し制御系
資源タイプ
資源タイプ識別子 http://purl.org/coar/resource_type/c_46ec
資源タイプ thesis
著者(ヨミ)
姓名 チン, チュウショウ
著者別名
姓名 Chin, Chusho
抄録
内容記述タイプ Abstract
内容記述 In control system practice, high precision tracking or attenuation for periodic signals is an important issue. Repetitive control is known as an e.ective approach for such control problems. The internal model principle shows that the repetitive control system which contains a periodic generator in the closed-loop can achieve zero steady-state error for reference input or completely attenuate disturbance. Due to its simple structure and high control precision, repetitive control has been widely applied in many systems. To improve existing results on repetitive control theory, this thesis presents theoretical results in analysis and design repetitive control system. The main work and innovations are listed as follows: \nWe propose a design method of robust stabilizing modi.ed repetitive controllers for multiple-input/multiple-output plants with uncertainties. The parameterization of all robust stabilizing modi.ed repetitive controllers for multiple-input/multiple-output plant with uncertainty is obtained by employing H∞ control theory based on the Riccati equation. The robust stabilizing controller contains free parameters that are designed to achieve desirable control characteristic. In addition, the bandwidth of low-pass .lter has been analyzed. In order to simplify the design process and avoid the wrong results obtained by graphical method, the robust stability conditions are converted to LMIs-constraint conditions by employing the delay-dependent bounded real lemma. When the free parameters of the parameterization of all robust stabiliz-ing controllers is adequately chosen, then the controller works as robust stabilizing modi.ed repetitive controller. \nFor a time-varying periodic disturbances, we give an design method of an opti-mal robust stabilizing modi.ed repetitive controller for a strictly proper plant with time-varying uncertainties. A modi.ed repetitive controller with time-varying delay structure, inserted by a low-pass .lter and an adjustable parameter, is developed for this class of system. Two linear matrix inequalities LMIs-based robust stability con-ditions of the closed-loop system with time-varying state delay are derived for .xed parameters. One is a delay-dependent robust stability condition that is derived based on the free-weight matrix. The other robust stability condition is obtained based on the H∞ control problem by introducing a linear unitary operator. To obtain the desired controller, the design problems are converted to two LMI-constrained opti-mization problems by reformulating the LMIs given in the robust stability conditions. The validity of the proposed method is verified through a numerical example.
内容記述
内容記述タイプ Other
内容記述 学位記番号:工博甲466
書誌情報 p. 1-106, 発行日 2013-03
著者版フラグ
出版タイプ AM
出版タイプResource http://purl.org/coar/version/c_ab4af688f83e57aa
出版者
出版者 群馬大学工学研究科
資源タイプ
内容記述タイプ Other
内容記述 Thesis or Dissertation
学位名
学位名 博士(工学)
学位授与機関
学位授与機関名 群馬大学
学位授与年月日
学位授与年月日 2013-03-22
学位授与番号
学位授与番号 12301甲第466号
更新日
値 2019-12-16
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