臺灣博碩士論文加值系統

摘要
本文針對一維帳幕映射混沌系統，進行智慧型控制之研究。首先提出利用極點配置法設計比例放大器，來穩定混沌系統。接著應用灰色系統理論設計灰預測器，以加速系統響應。經由電腦模擬結果顯示，不論收斂時間或控制能量，均可加以改善。最後研究利用適應性網路架構的模糊推論系統來控制帳幕映射系統，以提升混沌控制的性能。

Abstract
This thesis focuses on the investigation of the intelligent control for one-dimensional tent map. The method of pole placement is proposed to design a proportional amplifier to stabilize chaotic systems. In addition, the theory of grey system is applied to design a grey predictor to accelerate the response of the system. By computer simulation, the results show that both the time of convergence and the control energy can be ameliorate. Finally, the adaptive-network-based fuzzy inference system is presented to promote the performance of the chaos control.

目錄
中文摘要………………………………………………………………… I
英文摘要………………………………………………………………… II
目錄……………………………………………………………………… III
圖目錄…………………………………………………………………… V
第一章 緒論………………………………………………………………1
1.1前言……………………………………………………………………1
1.2論文架構………………………………………………………………2
第二章 混沌系統…………………………………………………………3
2.1帳幕映射系統…………………………………………………………3
2.2混沌系統的特性………………………………………………………6
2.2-1依賴初始條件之靈敏………………………………………………6
2.2-2穩定點………………………………………………………………6
第三章 應用灰預測之帳幕映射系統極點配置控制………………… 9
3.1帳幕映射系統控制架構………………………………………………9
3.1-1極點配置法…………………………………………………………11
3.1-2三點灰建模…………………………………………………………12
3.1-3應用灰預測之極點配置……………………………………………14
3.2電腦模擬………………………………………………………………15
第四章 帳幕映射系統之模糊類神經控制…………………………… 23
4.1控制系統架構…………………………………………………………24
4.1-1 ANFIS原理…………………………………………………………24
4.1-2帳幕映射系統之ANFIS控制架構………………………………… 27
4.2電腦模擬………………………………………………………………29
第五章 結論…………………………………………………………… 38
參考文獻………………………………………………………………… 40

參考文獻
[1] S. Neil Rasband, “Chaotic Dynamics of Nonlinear System”, Wiley- Interscience Publication, 1989.
[2] G. L. Baker, J. P. Gollub, “Chaotic dynamics : an introduction”, New York : Cambridge University Press, 1996.
[3] Hung-I Chin, Chih-Hsu Yen and Bing-Fei Wu, “An Observer-based Secure System with Chaotic Signals”, 1998 工業自動控制與電力應用研討會論文集，pp. A2-28~A2-32，1998.
[4] E. Ott, C. Grebogi, and J. A. York, “Controlling Chaos”, Physical Review Letters, Vol. 64, pp. 1196-1199, 1990.
[5] A. Hammad, E. Jonckheere, C. -Y. Cheng, S. Bhajekar and C. -C. Chien, “Stabilization of Chaotic Dynamics: a Modern Control Approach”, International Journal of Control, Vol. 64, No. 4, pp. 663-667, 1996.
[6] H. O. Wang, K. Tanaka and T. Ikeda, “Fuzzy Modeling and Control of Chaotic Systems”, IEEE International Symposium on Circuits and Systems, 1996.
[7] N. Stollenwerk and F. Pasemann, “Comparison of Different Control Strategies for Chaotic Neuromodules,”, Int. J. Bifurc. Chaos, in press, 1996.
[8] Jang, J. -S. R. “ANFIS: Adaptive-Network-Based Fuzzy Inference System”, IEEE Transactions on Systems, Vol. 23, No. 3, pp. 665-685, 1993.
[9] S. Neil Rasband, “Chaotic Dynamics of Nonlinear Systems”, Wiley-Interscience Publication, 1989.
[10] 余國瑞，陸子強，”應用灰預測之混沌系統LQ控制”，2000 自動控制研討會，pp. 394-399，2000。
[11] C. M. Hong, S. C. Lin, and C. T. Chiang, “Control of Dynamic Systems by Fuzzy-based Grey Prediction Control”, The Journal of Grey System, Vol. 1, pp. 23-44, 1995.
[12] C. Y. Cheng and C. H. Shiau, “Suppression and Generation of Chaos of Nonlinear System”, Conference on Industrial Automatic Control and Power Applications, pp. A3-7~A3-10, 1998.
[13] Jonckheere, E. A., Hammad, A., and Wu, B. F., “Chaotic Disturbance Rejection-A Kolmogorov-Sinai Entropy Approach”, Proceedings of the 32nd Conference on Decision and Control, San Antonio, Texas, U.S.A., pp. 3578-3583, 1995.
[14] Wu, B. F., “Identification and Control of Chaotic Processes-The Kolmogorov-Sinai Entropy Approach”, Ph. D. dissertation, Department of Electrical Engineering-Systems, University of Southern California, Los Angeles, U.S.A., 1992.
[15] J. Y. Chen and Y. H. Lin, “Design of Fuzzy Sliding Mode Controller with Grey Predictor”, The Journal of Grey System, 2, pp. 147-164, 1996.
[16] E. Ott, “Controlling Chaos”, Physics Today, pp. 34-40, 1995.
[17] 鄧聚龍、郭洪，”灰預測原理與應用”，全華書局，台北市，1996。
[18] 吳漢雄、鄧聚龍、溫坤禮，”灰色分析入門”，高立書局，1996。
[19] 鄭智湧、蕭慶宏，”非線性系統中混沌的抑制與產生”，1998 工業自動控制與電力應用研討會論文集，pp: A3-7~A3-10，1998。
[20] 余國瑞，陸子強，楊志成，”混沌系統之ANFIS控制”，第五屆人工智慧與應用研討會論文集，pp. 228-223，2000。