本計畫研究有限頻段H-infinity性能之分散式控制器設計，包括動態、靜態與PID輸出回授。研究重點聚焦於控制器結構可任意，且動態控制器階數可為降階或全階。我們提出一關鍵的等價轉換技巧，將原問題轉換為區塊對角控制器的設計問題，並證明其等價性。推導出各類型控制器的設計條件(線性矩陣不等式形式)。數值模擬驗證了所提方法的確有效。
In this project, the problem of synthesizing a finite frequency H-infinity decentralized controller has been investigated. The cases of dynamic, static, and PID output feedbacks are considered. The focal points of the research lie on that the controllers are subject to any structural constraints, and in addition, the order of a dynamic controller can be assumed to be reduced-order or full-order. A particular transformation has been proposed that converts the original problem (with controller subject to any structural constraint) into the problem of designing a block-diagonal controller. The equivalence of the synthesis problems has been shown. Solvability conditions for synthesizing the controllers were derived in terms linear matrix inequalities (LMIs). Numerical simulation demonstrates the effectiveness of the proposed method.
