臺灣博碩士論文加值系統

本論文將採用非線性H∞控制理論，建構出船舶的控制架構。由於最具關鍵地位Hamilton-Jacobi equation(HJE)近似解的求得，則可對非線性模式設計具強健性且穩定的H∞狀態回授控制器。本文以一艘貨櫃輪來測試此控制架構的適用性。經由電腦數值模擬後，船舶的非線性H∞控制系統具有強大的穩定能力，船舶自航器在進行大弧度轉彎的任務時，都能具有極佳的穩定性及控制性能。此外，還跟線性H∞控制器及PI控制器做比較，結果非線性控制器的性能均較其來的優越。可見系統因線性化解耦合後，所得到的線性控制器，因忽略系統的非線性項，所以控制效果比原本設計含有非線性項的控制器差。

It is well known that the ship steering dynamics have highly complicated nonlinear behavior, so it is hard to design an autopilot controller. This paper adopted the nonlinear H∞ control theory to formulated a nonlinear H∞ controller. In order to establish a nonlinear H∞ controller, we must find the solution to the Hamilton-Jacobi equation (HJE) first. An approximate solution of the HJE by using a successive algorithm is used to construct a nonlinear H∞ controller. Computer simulations indicate that the proposed nonlinear H∞ autopilot controller achieves satisfactory course —changing maneuvers and show a better robust performance.

第一章 緒論
1.1 前言 1
1.2 文獻回顧 2
1.3 文章結構 3
第二章 船舶運動方程式
2.1 船舶運動方程式 5
2.2 船體輸入輸出轉移函數 10
第三章 H∞控制理論
3.1 範數(norm)的定義 12
3.2 Lyapunov穩定與Lyapunov函數 14
3.3 Hamilton-Jacobai 方程式 18
3.4 非線性H∞控制 21
3.5 線性H∞控制 25
第四章 船舶系統之H∞狀態回授控制器設計
4.1 船舶之線性H∞狀態回授控制器設計 27
4.2 船舶之非線性H∞狀態回授控制器設計之近似解 29
4.3 PI控制設計 32
第五章 模擬結果討論與分析
5.1 線性與非線性H∞控制的比較 34
5.2 PI控制器與非線性H∞控制器比較 42
第六章 結論與建議
6.1結論 44
6.2建議 45
參考文獻 46
附錄A 近似解的演算推導 49
附錄B 非線性H∞控制器近似解 52

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