臺灣博碩士論文加值系統

本論文主要探討適應性控制的問題，針對這個問題我們提出兩種控制方法來解決這個問題。當系統狀態在有未知的參數及擾動的情況下能設計出一個簡單的控制器，且只需要利用系統狀態的輸出即能做到混沌同步的控制。所以本篇論文主要分為三個部份。
一、設計出一個動態補償器，且動態補償器只需要給定參數值，且使得控制器只需要取得主-僕系統的兩個輸出狀態回授給控制器即可以達到同步。
二、提出一個適性應滑動模式控制，使得系統在有外部的擾動和不確定的參數時，控制器可以使系統達到同步，再進而利用等效輸出的關係來模擬實際外加訊號來驗證主-僕系統能達到同步。
三、在實作的部分，利用簡單的基本電子元件來實現混沌電路。

In this thesis, the problems of chaos control and synchronization are investigated. Two approaches, including the dynamic compensator and the adaptive sliding mode control are utilized to solve these problems. This paper mainly contains three parts.

1、Dynamic compensator design: In this design method, the Lyapunov stability theory is used to ensure the stability of the considered systems. The master and slave systems are synchronized only with the available output variables. In addition, the SPR limit is released.
2、Adaptive sliding mode control: To cope with the external disturbance and unknown system parameters, sliding mode control method is used to design robust controller to enable the system to achieve synchronization. Simultaneously the results are applied to the communication security.
3、Chaos electric circuit realization: Using some basic electronic components, we complete the realization of some chaotic systems. Also an active nonlinear controller is realized in this part.

中文摘要 --------------------------------------- i
英文摘要 --------------------------------------- ii
誌謝 --------------------------------------- iii
目錄 --------------------------------------- iv
圖目錄 --------------------------------------- v
第一章 緒論----------------------------------- 1
1.1 研究背景------------------------------- 1
1.2 研究動機------------------------------- 1
1.3 論文架構------------------------------- 2
第二章 混沌系統之同步設計：動態補償器之設計方法 3
2.1 簡介----------------------------------- 3
2.2 問題描述------------------------------- 3
2.3 例子模擬------------------------------- 7
2.4 結論----------------------------------- 11
第三章 理論----------------------------------- 15
3.1 簡介----------------------------------- 15
3.2 FitzHugh-Nagumo神經元之動態系統描述---- 16
3.3 問題描述及ASMC之設計------------------ 17
3.4 例子模擬------------------------------- 24
3.5 結論----------------------------------- 25
第四章 實作範例------------------------------- 30
4.1 OPAMP運算放大器---------------------- 30
4.2 Lorezn混沌系統------------------------- 32
4.3 Lü混沌系統----------------------------- 38
4.4 Chua’s混沌系--------------------------- 44
4.5 Sprott混沌系統-------------------------- 50
第五章 結論----------------------------------- 59
參考文獻 --------------------------------------- 60

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