臺灣博碩士論文加值系統

線性與非線性系統之參數空間分析
學生 : 任延民 指導教授 : 黃英哲 博士
私立元智大學電機工程研究所
摘要
本篇論文的主要目的在於運用穩定方程式法、描述函數法、參數空間法分析控制系統之極限環及其穩定性。首先以線性系統數學模型為例，分析使用穩定方程式法所出現的結果；然後對於具有非線性元件的非線性控制系統設計PI控制器，其中非線性元件係採用描述函數法來模型化，而且在參數空間中得到控制器的增益值。此非線性控制系統的極限環現象和穩定性隨著參數值不同而有所改變。

Parameter Space Analysis of Linear and Nonlinear Systems
Student: Yen-Min Jen Advisor: Dr. Ying J. Huang
Institute of Electrical Engineering
Yuan-Ze University
Abstract
The main purpose of thesis is to analyze the limit cycle and its stability of control system by stability equation method, describing function method and parameter space method. At first, a linear system is analyzed by the use of stability equation and the result of this method is seen. Then a nonlinear system with several nonlinear elements is used to design the PI controller. The nonlinear elements is modeled by the use of describing function method and the gain of controller is obtained in the parameter plane.
Finally, when there are different values of parameters, the limit cycle and stability of non-linear control system will be influnced.

目 錄
中文摘要 ……………………………………………………i
英文摘要 ……………………………………………………ii
致謝 …………………………………………………………iii
目錄 …………………………………………………………iv
圖目錄 ………………………………………………………vi
符號說明 ……………………………………………………viii
一、導論 ……………………………………………………1
1.1 研究動機 …………………………………………1
1.2 研究成果 …………………………………………1
1.3 本文架構 …………………………………………1
二、線性系統之參數空間分析 ……………………………3
2.1 前言 ……………………………………………… 3
2.2 基本理論 …………………………………………. 3
2.2.1 穩定方程式與參數空間法 ………………… 3
2.2.2 極限環的穩定性 …………………………… 5
2.3 水下載具控制系統分析 ………………………… 6
2.3.1 水下載具系統描述 ………………………… 6
2.3.2 航向控制系統動態方程式 ………………… 8
2.4分析結果 ……………………..…………………… 9
三、非線性系統之參數空間分析 …………………………. 18
3.1 伺服系統介紹 …………………………………… 18
3.2 理論介紹 ………………………………………… 27
3.3.1 穩定方程式與參數空間法 …………………27
3.2.2 描述函數法 ……………...………………… 28
3.3 模擬系統推導 …………………………………… 29
3.4 模擬系統之參數空間平面分析 ………………… 32
3.5非線性元件參數變化之分析 ……………………33
四、結論 ……………………………………………………. 58
五、參考文獻 …………………………………………………59

五、參考文獻
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