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研究生:王子奇
論文名稱:線性矩陣不等式之H∞控制器設計
論文名稱(外文):An LMI approach to H∞ controller design
指導教授:陳誠亮陳誠亮引用關係
學位類別:博士
校院名稱:國立臺灣大學
系所名稱:化學工程學研究所
學門:工程學門
學類:化學工程學類
論文種類:學術論文
論文出版年:2001
畢業學年度:90
語文別:中文
中文關鍵詞:線性矩陣不等式模糊集合未確定線性模式時延
相關次數:
  • 被引用被引用:1
  • 點閱點閱:217
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非線性動態系統的控制問題,一直是許多學者所致力於研究的課題,近年來也有許多的研究成果。本文對於非線性動態系統的控制,致力於利用線性矩陣不等式求出H∞-k階控制器以及H∞PI控制器參數。
對於非線性動態系統,我們可以考慮整個操作區間中的操作點變化以及負荷擾動,以得到未確定線性動態模式;亦可以將整個操作區間以模糊集合之方式切割成許多子區間,再分別根據其操作點變化以及負荷擾動求出未確定多重線性動態模式;針對系統的狀態變數或者是輸入變數有時延現象時,也可依同樣的方式獲得未確定帶時延線性動態模式以及未確定帶時延多重線性動態模式。
在本文中,我們根據上述四種線性動態模式,提出以線性矩陣不等式的方法設計H∞控制器。首先,我們假設線性動態模式中的未確定項為範數有界,並假定控制性能為H∞範數,這將可使其轉為標準的H∞控制問題,並利用Bounded Real Lemma將其轉為線性矩陣不等式的形式。此時,若存在一個正定矩陣$P$滿足線性矩陣不等式,則表示H∞控制器存在,並且可以利用此正定矩陣求出控制器參數。
最後,會將此控制理論應用於真實的化工程序一階放熱反應CSTR中。
1 緒論
1.1 前言
1.2 文獻回顧
1.3 研究動機與目的
1.4 章節組織
1.5 重要引理
2 非線性程序之線性動態模式
2.1 前言
2.2 未確定線性動態模式
2.3 未確定多重線性動態模式
2.4 未確定帶時延線性動態模式
2.5 未確定帶時延多重線性動態模式
3 H∞-k階控制器設計
3.1 前言
3.2 未確定線性動態模式之H∞-k階控制器設計
3.3 未確定多重線性動態模式之H∞-k階控制器設計
3.4 未確定帶時延線性動態模式之H∞-k階控制器設計
3.5 未確定帶時延多重線性動態模式之H∞-k階控制器設計
4 H∞PI控制器設計
3.1 前言
3.2 未確定線性動態模式之H∞PI控制器設計
3.3 未確定多重線性動態模式之H∞PI控制器設計
3.4 未確定帶時延線性動態模式之H∞PI控制器設計
3.5 未確定帶時延多重線性動態模式之H∞PI控制器設計
5 化工應用實例
5.1 前言
5.2 未確定線性動態模式之H∞-k階控制器設計
5.3 未確定多重線性動態模式之H∞-k階控制器設計
6 結論與未來展望
6.1 結論
6.2 未來展望
A 模糊動態模式的架構
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