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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/117776


    Title: 具結構性參數擾動系統之有限頻段H-infinity 強健控制器設計
    Other Titles: Robust Finite frequency H-infinity controller design of systems subject to structured parametric uncertainty
    Authors: 周永山
    Keywords: mu合成;多邊形;廣義KYP引理;降階分散式控制;PID;線性矩陣不等式;mu synthesis;generalized Kalman-Yakubovich-Popov (GKYP) lemma;H-infinity static decentralized control;polytope;hardware verification
    Date: 2017-10-30
    Issue Date: 2019-11-06 12:11:07 (UTC+8)
    Abstract: 本計畫研究具結構參數擾動、線性、連續時系統的強健指定頻段H-infinity性能控制問題。不同於mu合成預設控制器為動態、集中式且全階,本計畫將成果擴充至其他種類的控制器,包含動態、靜態與PID (proportional-integral-derivative)形式,而且容許階數及分散式結構限制。此外,所提設計方法可直接合成指定頻段H-infinity性能,毋需引入權重函數。面對這甚具挑戰性的問題,本計畫提出創新的設計思惟,將原問題等價轉換為一特殊狀態空間多邊形系統的分散式控制問題,並且據以搭配廣義KYP (generalized Kalman-Yakubovich-Popov, GKYP)引理以及穩定互質分解理論,提出嶄新的線性矩陣不等式(linear matrix inequality, LMI)形式的充分有解條件。所提設計方法引入了輔助函數,類似mu合成之廣義乘數運算子,但無結構限制。其不僅在降階設計扮演了重要角色,而且可與控制器直接協調同時求解,減少保守性;而這也與 mu合成中的交替求解大不相同,避免了交替求解易中斷的缺點。模擬結果驗證了本計畫所提方法的可行性。
    Relation: 具結構性參數擾動系統之有限頻段H-infinity 強健控制器設計
    Appears in Collections:[Graduate Institute & Department of Electrical Engineering] Research Paper

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