臺灣博碩士論文加值系統

本論文提出區間第二型適應性模糊滑動模式控制器結合Lyapunov穩定理論來控制一組多變數混沌主從系統，使混沌從系統能有效同步追蹤一未知動態混沌主系統並降低主系統受外部干擾以及內部雜訊對系統內部傳輸所造成的影響。使用適應性模糊滑動模式控制理論，目的是為了使其逼近一不明確且非線性的動態混沌系統，所以需經推導後求出相對應之適應律的演算法。且為了處理並降低非線性混沌系統受到內部雜訊或其不明確性以及外部干擾所造成的影響，本文中將設計區間第二型適應性模糊滑動模式控制器，相較於第一型適應性模糊滑動模式控制器，區間第二型適應性模糊滑動模式控制器能維持其閉迴路系統穩定性以及同步化追蹤的性能。由模擬結果中也顯示其區間第二型模糊邏輯系統能有效處理無法預測的內部雜訊干擾、外部干擾以及所追蹤之資料其不明確性，以達到相當效果的追蹤功能，第一型適應性模糊滑動模式控制器將須使用較多的控制力來處理內外部雜訊對系統所產生的影響。

This thesis presents an interval type-2 adaptive fuzzy sliding mode controller (IT2AFSMC) which included Lyapunov stability method to control a multivariable chaotic slave system to synchronize a uncertain dynamic multivariable chaotic master system and attenuated the effects from the external disturbance of the master system and the internal noise. By utilizing adaptive fuzzy sliding mode control theory, the propose is made the slave system approach an uncertain nonlinear dynamic chaotic system, so the adaptive laws will be derived. To deal with and attenuated the effects from the internal noise and the external disturbance of the nonlinear chaotic system, this thesis design an IT2AFSMC, which tracking performance in comparison with type-1 adaptive fuzzy sliding mode controller (T1AFSMC), IT2AFSMC manifested the stability in close loop and the function of the synchronization trajectory-tracking. Simulation results exhibited that the interval type-2 fuzzy logic system can deal with the training data corrupted by unpredicted internal noise or rule uncertainties involving external disturbances. To achieve the equal tracking performance, T1AFSMC need to expend more control effort to deal with the training data corrupted by internal noise and external noise.

誌謝 i
摘要 ii
英文摘要 iii
目錄 iv
圖目錄 vii
表目錄 xii
第一章 序論 1
1.1 研究動機與目的 1
1.2 論文架構 3
第二章 第一型與第二型模糊邏輯系統 5
2.1第一型模糊邏輯系統 5
2.2第二型模糊邏輯系統 7
2.2.1 降階演算法(Type Reduction Algorithm) 11
第三章 適應性滑動模式控制之同步化 14
3.1滑動模式控制之同步化 14
第四章 第一型適應性模糊滑動模式控制之同步化 19
4.1 間接適應性模糊滑動模式控制之同步化 19
4.2直接適應性模糊滑動模式控制之同步化 24
4.3混合適應性模糊滑動模式控制之同步化 30
第五章 區間第二型適應性模糊滑動模式控制之同步化 36
5.1 間接適應性模糊滑動模式控制之同步化 36
5.2 直接適應性模糊滑動模式控制之同步化 40
5.3 混合型適應性模糊滑動模式控制之同步化 46
第六章 適應性模糊滑動模式同步化控制器模擬結果與分析 52
6.1 間接適應性模糊滑動模式控制: 52
6.1.1無內部雜訊干擾 56
6.1.2受內部白高斯雜訊10dB影響 59
6.2 直接適應性模糊滑動模式控制: 63
6.2.1無內部雜訊干擾 66
6.2.2受內部白高斯雜訊10dB影響 69
6.3 混合適應性模糊滑動模式控制: 73
6.3.1無內部雜訊干擾 77
6.3.2受內部白高斯雜訊10dB影響 82
第七章 結論 89
7.1 結果討論: 89
7.2 未來研究方向: 92
參考文獻 93

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