本論文針對當連續廣義系統的所有系統矩陣都含有範數有界不確定量時，系統的強韌分析與設計進行研究。論文內容可依有無考慮系統狀態延遲而分成兩部分：前半部在不考慮系統狀態延遲的情況下，探討不確定廣義系統的強韌可容許、強韌 H∞ 分析、與強韌 H∞ 狀態回授設計；後半部則在考慮系統狀態延遲的情況下，進行相同主題的研究。因此論文前半部的內容，將現有文獻結果推廣到允許所有系統矩陣(而非僅狀態微分矩陣)都含有範數有界不確定量的情況；而論文後半部的內容，不但將現有文獻結果推廣到允許延遲為時變的情況，同時也允許狀態微分矩陣含有不確定量。所有推導出的結果皆為線性矩陣不等式條件，因此可以運用現有的數值軟體予以求解。在論文中適當章節都提列了數值範例，來驗證理論推導的結果。

For continuous-time descriptor systems with all system matrices incorporated with norm-bounded uncertainties, this thesis addresses robust admissibility and robust H∞ analysis and the related state feedback design. The results are further extended to systems with time-varying state delay within a known interval. The former part of the thesis extends the current research of considering uncertainty only at the state derivative matrix to the case uncertainty being assumed at all system matrices. While the latter part of the thesis extends the current research in two folds: the state derivative matrix is allowed to be uncertain and the delay is allowed to be time-varying. Since all the results are derived in the LMI-based framework, examples with efficient numerical verifications are included to illustrate the derived results.

摘要 i
符號表 v
第一章 緒論 1
1-1 節 文獻回顧與研究動機 1
1-2 節 論文綱要 2
第二章 基本定義與結果 3
第三章 不確定連續廣義系統之強韌 分析 7
3-1 節 基本性質 7
3-2 節 系統之強韌可容許性分析 8
3-3 節 系統之強韌 分析 14
3-4 節 數值模擬 17
第四章 不確定連續廣義系統之強韌 設計 20
4-1 節 問題描述 20
4-2 節 系統之強韌可容許性設計 21
4-3 節 系統之強韌 設計 23
4-4 節 數值模擬 25
第五章 不確定連續廣義延遲系統之強韌 分析 28
5-1 節 基本定義與結果 28
5-2 節 系統之強韌可容許性分析 38
5-3 節 系統之強韌 分析 46
5-4 節 數值模擬 52
第六章 不確定連續廣義延遲系統之強韌 設計 54
6-1 節 問題描述 54
6-2 節 系統之強韌可容許性設計 57
6-3 節 系統之強韌 設計 66
6-4 節 數值模擬 74
第七章 結論 77
參考文獻 78

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