博碩士論文 104521060 詳細資訊




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姓名 曾文青(ZENG-WEN-QING)  查詢紙本館藏   畢業系所 電機工程學系
論文名稱 正向系統輸出回授之穩定度分析與控制器設計
(Stability Analysis and Controller Design for Robust Positive Systems with output Feedback)
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摘要(中) 本論文係研究正向系統之穩定性分析及穩定化控制設計,研究的範疇為連續時間系統。針對正向性與穩定性問題,推導出新的充份與必要條件,基於此條件設計出狀態回授控制器,便可保證系統之正向與穩定性。並以前述之分析結果,利用線性歸劃方法來尋找控制器參數。再套用輸出回授控制器設計,以獲得更大的穩定範圍。最後以實際的正向系統為例,設計系統回授控制器與輸出回授控制器,討論補償前與補償後系統穩定範圍之差異,經由模擬結果顯示,所設計的控制器是有效且適用的。
摘要(英) This thesis is concerned with stability and stabilization of interval systems with the positivity constraints. Continuous-time system is discussed. For positive and stability analysis problems of systems, we derive some new sufficient and necessary conditions. Then based on these conditions, a linear programming method is applied to design controllers. Then use the output feedback to obtain wider Stability range. A compartmental systems is given to demonstrate the effectiveness and applicability of the proposed methods.
關鍵字(中) ★ 正向系統
★ 穩定度
★ 強健
★ 回授
★ 控制器
關鍵字(英) ★ Positive Systems
★ Stability
★ Robust
★ Feedback
★ Controller
論文目次 目 錄
摘 要.........................................i
Abstract.......................................ii
第一章 介紹......................................1
1.1 動機與文獻綜述...............................1
1.2 架構........................................1
第二章 連續時間正向線性系統.......................3
2.1 符號........................................3
2.2 正向線性系統.................................3
2.3 連續時間正向線性系統..........................4
2.4 Metzler矩陣..................................4
2.5 漸近穩定......................................5
2.6 Lyapunov’s Direct Mtthod.....................5
2.7 結論..........................................7
第三章 正向系統之穩定度分析與連續時間強健控制器設計...8
3.1 時間連續強健系統之穩定度分析與控制器設計.....8
3.1.1 連續時間正向強健系統之穩定度分析............8
3.1.2 連續時間強健正向線性系統之控制器設計........11
3.2 結論.....................................16
第四章 連續時間強健系統之輸出回授穩定度分析與連續時間強健控制器設計............................................17
4.1 連續時間強健正向系統之輸出回授...............17
4.2 連續時間強健正向系統輸出回授之正向與穩定度分析..18
4.3 Interval Halving最佳化方法...................22
第五章 分隔系統......................................24
5.1 分隔系統.....................................24
5.2 分隔系統加上輸出回授..........................27
5.3 分隔系統加上輸出回授與內部干擾.................31
5.4 比較.......................................35
第六章 總結.....................................37
參考文獻........................................38
附錄.............................................44
參考文獻

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指導教授 莊堯棠(ZHUANG-YAO-TANG) 審核日期 2017-7-25
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