臺灣博碩士論文加值系統

本文針對不確定複雜時間延遲系統，以設計分散式狀態回授控制器。文中採用了文獻[14]中新提出的李亞普諾夫函數 ( Lyapunov- Krasovskii functional )，並妥善運用了Schur Complement[4]和文獻[11]中所提出的積分不等式引理，提出了一個使得線性矩陣不等式具有較少保守度的方法。本論文並探討當系統含有雜訊項時，以狀態回授控制器進行 控制之問題，使得不確定複雜系統具有 的限制。最後，每章的最後一節附上數值模擬的例題，以驗證本論文方法的可行性。

The problem of designing decentralized state feedback controller for a class of complex uncertain time-delay systems is studied in this thesis. Based on the new Lyapunov-Krasovskii functional adopted in [14], and the lemmas in the litarature [4, 11], we offer an alternated design method. A less conservative delay- independent linear matrix inequality (LMI) criterion is obtained compared to the litarature. We also design a state feedback controller such that the closed -loop uncertain system is asymptotically stable and also guarantees an -norm bound constraint on the disturbance attenuation for all admissible uncertainties. At the end of each subsection, practical examples are given to illustrate the effectiveness of the proposed approach.

目錄
誌謝 i
摘要 ii
Abstract iii
目錄 iv
表目錄 v
圖目錄 vi
符號說明 vii
第一章、 緒論 - 1 -
1-1 研究動機與文獻回顧 - 1 -
1-2 論文結構 - 2 -
第二章、 問題描述與引理介紹 - 3 -
2-1 不確定複雜時間延遲系統 - 3 -
2-2 控制目標 - 4 -
2-3 引理介紹 - 5 -
第三章、 穩定度條件之建立 - 6 -
3-1 穩定度條件之建立 - 6 -
3-2 數值模擬 - 24 -
第四章、 H∞控制器設計 - 30 -
4-1 H∞控制條件之建立 - 30 -
4-2 數值模擬 - 55 -
第五章、 結論 - 68 -
參 考 文 獻 - 69 -

表目錄
表1 定理3.1與推論3.1求得控制器增益 - 26 -
表2 定理4.1與推論4.1求得控制器增益 - 57 -
表3. 定理4.2求得控制器增益 - 65 -

圖目錄
圖1. 子系統1開路狀態響應圖 - 26 -
圖2. 子系統2開路狀態響應圖 - 27 -
圖3. 定理3.1子系統1狀態響應圖 - 27 -
圖4. 定理3.1子系統2狀態響應圖 - 28 -
圖5. 推論3.1子系統1狀態響應圖 - 28 -
圖6. 推論3.1子系統2狀態響應圖 - 29 -
圖7. 子系統1開路狀態響應圖 - 58 -
圖8. 子系統2開路狀態響應圖 - 58 -
圖9. 定理4.1子系統1狀態響應圖 - 59 -
圖10. 定理4.1子系統2狀態響應圖 - 59 -
圖11. 推論4.1子系統1狀態響應圖 - 60 -
圖12. 推論4.1子系統2狀態響應圖 - 60 -
圖13.干擾輸入圖 - 64 -
圖14. 子系統1開路狀態響應圖 - 65 -
圖15. 子系統2開路狀態響應圖 - 66 -
圖16. 定理4.2子系統1狀態響應圖 - 66 -
圖17. 定理4.2子系統2狀態響應圖 - 67 -

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