臺灣博碩士論文加值系統

本論文主要研究利用Takagi-Sugeno (T-S)模糊控制器控抑制降壓型直流－直流轉換器輸出的分岔與混沌現象。並以線性矩陣不等式(linear matrix inequality, LMI)為基礎來設計控制器增益。文中以T-S模糊系統來表示非線性系統，接著設計混沌控制器，並以MATLAB/SIMULINK軟體模擬，觀察在輸入電壓、負載參數變化下，轉換器在週期1、週期2及週期4等倍週期分岔與混沌現象時，其輸出電壓特性、電感電流與輸出電壓-電感電流相平面圖變化情形。在控制混沌系統時，因其對參數變化的敏感性，所以導入無須外加電源的控制器，且在不改變原電路狀態下加入控制器，來觀察參數變化時的輸出等特性。
直流-直流轉換器的建模分析是研究開關電源(switching power supply)的基礎，在分析、設計開關電源上有重要意義。因此本文以MATLAB/SIMULINK軟體進行模擬，模擬結果發現，在轉換器導入T-S模糊控制器後，轉換器進入倍週期分岔與混沌時，T-S模糊控制器皆能有效將轉換器輸出特性控制在週期1的運行軌道上，證實T-S模糊控制器具有良好的控制特性，能有效抑制混沌的發生。

This thesis mainly investigates the bifurcation and chaos suppression of buck DC-DC converters by using the Takagi-Sugeno (T-S) fuzzy controller. Firstly, a nonlinear converter is represented in the form of T-S fuzzy system and then controller gain matrices can be obtained by solving the linear matrix inequalities (LMI). Moreover, this study uses the MATLAB/SIMULINK software to simulate and observe, in the presence of variations of input voltage and load resistances, the output voltage characteristic, inductance current and the corresponding phase plane when the bifurcation and chaos phenomena occur at cycle 1, cycle 2 and the cycle 4, respectively. To control the chaotic system, a T-S fuzzy controller is introduced to change the output dynamics.
From the simulation results, it is found that the converter output dynamics remain at cycle 1 trajectory with the proposed T-S fuzzy controller. It verifies that the proposed controller has good control performance and the chaotic phenomenon is suppressed.

目錄

中文摘要.........................................................................................................................i
英文摘要........................................................................................................................ii
誌謝...............................................................................................................................iv
目錄................................................................................................................................v
表目錄..........................................................................................................................vii
圖目錄........................................................................................................................ viii
第一章 緒論................................................................................................................1
1.1 研究背景、動機...............................................................................................1
1.2 文獻回顧.........................................................................................................1
1.3 論文架構.........................................................................................................3
第二章 降壓型直流-直流轉換器的混沌現象..........................................................5
2.1 前言.................................................................................................................5
2.2 混沌特性與定義.............................................................................................5
2.3 降壓型直流-直流轉換器的混沌分析……...................................................7
2.4 本章結語.......................................................................................................26
第三章 混沌控制……................................................................................................27
3.1 前言...............................................................................................................27
3.2混沌控制方法簡介........................................................................................27
3.3線性矩陣不等式............................................................................................31
3.4 T-S模糊控制器之穩定性.............................................................................33
3.5 本章結語.......................................................................................................36
第四章 T-S模糊混沌控制器設計與模擬.................................................................37
4.1 前言...............................................................................................................37
4.2 T-S模糊混沌控制器設計..............................................................................37
4.3 控制器建模...................................................................................................40
4.4 模擬與討論...................................................................................................42
4.5 本章結語.......................................................................................................51
第五章 結論與未來展望............................................................................................52
5.1 結論..............................................................................................................52
5.2 未來展望......................................................................................................52
參考文獻......................................................................................................................53

參考文獻

[1]江炫樟，電力電子學，全華圖書股份有限公司，2001年，第8頁。
[2]J. R. Wood, "Chaos: A Real Phenomenon in Power Electronics," International Conference of IEEE Applied Power Electronics., 1989, pp. 115-124.
[3]T. Matsumoto, "A chaotic attractor from Chua’s circuit," IEEE Trans. Circuits and Syst., vo1. 31, no. 12, 1984, pp. 1055-1058.
[4]R. W. Brockett and J. R. Wood, "Understanding power converter chaotic behavior in protective and abnormal modes," Proceedings of Powercon Π, 1984.
[5]D. C. Hamill and D. J. Jefferies, "Subharmonics and chaos in controlled switched-mode power converter," IEEE Trans. Circuits and Syst. I, vol. 35, no.8, 1988, pp. 1059-1061.
[6]D. C. Hamill , J. H. B. Deane and D. J. Jefferies, "Modeling of chaotic DC-DC converters by iterated nonlinear mappings," IEEE Trans. on Power Electronics, vol. 7, no. I , Jan. 1992, pp. 25-36.
[7]S. Banerjee, E. Ott, J. A. Yorke and G. H. Yuan, "Anomalous bifurcation in dc-dc converter: Borderline collisions in piecewise smooth maps," IEEE Power Electronics Specialists Conference, vol. 2, 1997, pp. 1337-1344 .
[8]G. H. Yuan, S. Banerjee and E. Ott, "Boder-collision bifurcation in the buck converter," IEEE Trans. on Circuits and Systems—I: Fundamental Theory and Applications, vol. 45, no. 7, July 1998, pp. 707-716.
[9]余克維，控制系統分析與設計，新文京開發出版有限公司，2007，第29頁。
[10]王進德，類神經網路與模糊控制理論入門與應用，全華圖書股份有限公司，2011年，第45頁。
[11]陳永平，可變結構控制設計，全華圖書股份有限公司，2003年
[12]曾仲熙，控制器設計與模擬範例，東華書局，2011年，第151頁。
[13]T Takagi and M Sugeno., "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans on Fuzzy Syst, Man and Cybern, 1985, pp.116-132.
[14]E. N. Lorenz, "Determinisitic nonperiodic flow," J. Atmospheric Sciences, vol. 20, no. 2, 1963, pp. 130-141.
[15]S. Swamidoss, S. Yash and Y. S. Lee, "Randomized switching schemes for DC-DC power conversion with reduced average switching frequency," International Conference of IEEE Power System and Variable Speed Drives., 2004, pp. 193-198.
[16]J. H. B. Deane and D. C. Hamill, "Analysis, simulation and experimental study of chaos in the buck converter, " IEEE Power Electron. Specialists Conf., 1990, pp. 491-498.
[17]C. K. Tse and M. D. Bernardo, "Complex behavior in switching power converters," Proceedings of the IEEE, May, 2002, pp. 768-781.
[18]S. Banerjee and G. C. Verghese, "Nonlinear phenomena in power electronics attractors, bifurcations, chaos, and nonlinear control," IEEE Press, 2001.
[19]V. F. Pires and J. F. A. Silva, "Teaching nonlinear modeling, simulation, and control of electronic power converters using MATLAB/SIMULINK," IEEE Trans.Edu., vol. 45, no. 3, 2002, pp. 253-261.
[20]M Bernardo., "Controlling switching systems: a bifurcation approach," Proceedings of IEEE International Symposium on Circuits and Systems, Geneva, Switzerland. vol. 2, 2000, pp. 377-380.
[21]W Schwarz and A. L Mogel., "Chaotic control of a DC-DC converter," Proceedings of IEEE International Symposium on Circuits and Systems, Geneva, Switzerland. vol.2, 2000, pp.108-111.
[22]C. Vlad, S. Lungu, D. Petreus and C. Farcas, "Controlling chaos in buck converters," IEEE International Conference on Electronics, Circuits and Systems, vol.1, 1999, pp.157-160.
[23]J. L Marreo., R Bueno Santos and G. C. Verghese "Analysis and control of chaotic DC-DC switching power converters," Proceedings of the 1999 IEEE International and Symposium on Circuits and Systems, vol. 5, 1999, pp. 287-292.
[24]Palm R., "Sliding mode fuzzy control," IEEE Int. Confer. on Fuzzy System, San Diego, California, 1992, pp. 519-526.