臺灣博碩士論文加值系統

在本篇論文中，吾人擬探討不確定上田振盪系統及不確定控制系統間的混沌同步問題。筆者將利用時域方法論搭配李亞普若夫法則，針對不確定的上田主僕式混沌系統，提供了一套追踨控制器，促使整個閉迴路系統達成指數同步化的目標。在此同時，上述不確定上田主僕式混沌系統的指數收斂速率可被事先安排。最後將提供追踨控制器的設計流程並搭配多個數值範例，來驗證及說明主要定理的正確性。

In this thesis, the chaos synchronization between uncertain Ueda oscillator system and uncertain control system will be explored. Based on the time-domain approach with Lyapunov methodology, a tracking control will be offered such that uncertain controlled system expoenntially synchronizes the uncertain Ueda oscillator system with any pre-specified exponential convergence rate. Finally, numerical simulations will be provided to illustrate the feasibility and effectiveness of the obtained results.
KEY WORDS: Exponential synchronization, Tracking control, Uncertain Ueda oscillator system, Chaotic systems, Exponential convergence rate.

摘要 i
ABSTRACT ii
目錄 iii
圖目錄 iv
第一章導論 1
第二章上田振盪混沌系統 3
第三章主要定理 11
第四章結論及未來研究方向 44
附錄 45
參考文獻 58
已刊登文章 62

[1]Y. Deng; H. Hu; W. Xiong; N. N. Xiong; Lingfeng Liu, Analysis and design of digital chaotic systems with desirable performance via feedback control, IEEE Transactions on Systems, Man, and Cybernetics: Systems, Year: 2015, Volume: 45, Issue: 8, Pages: 1187-1200.
[2]L. V. Gambuzza; A. Buscarino; L. Fortuna; M. Frasca, Memristor-based adaptive coupling for consensus and synchronization, IEEE Transactions on Circuits and Systems I: Regular Papers, Year: 2015, Volume: 62, Issue: 4, Pages: 1175-1184.
[3]R. Tchitnga; T. Nguazon; L. H. L. Fotso; Jason A. C. Gallas, Chaos in a single op-amp–based jerk circuit: experiments and simulations, IEEE Transactions on Circuits and Systems II: Express Briefs, Year: 2016, Volume: 63, Issue: 3, Pages: 239-243.
[4]W. H. Chen; X. Lu; W. X. Zheng, Impulsive stabilization and impulsive synchronization of discrete-time delayed neural networks, IEEE Transactions on Neural Networks and Learning Systems, Year: 2015, Volume: 26, Issue: 4, Pages: 734-748.
[5]H. T. Yau; C. C. Wang; C. T. Hsieh; S. Y. Wu, Fractional order sprott chaos synchronisation-based real-time extension power quality detection method, IET Generation, Transmission & Distribution, Year: 2015, Volume: 9, Issue: 16, Pages: 2775-2781.
[6]G. Kaddoum, Design and performance analysis of a multiuser ofdmbased differential chaos shift keying communication system, IEEE Transactions on Communications, Year: 2016, Volume: 64, Issue: 1, Pages: 249-260.
[7]S. Sedaghatnejad; Mahmoud Farhang, Detectability of chaotic direct-sequence spread-spectrum signals, IEEE Wireless Communications Letters, Year: 2015, Volume: 4, Issue: 6, Pages: 589-592.
[8]Q. Yang; Y. Zhang; X. Gu, Design of ultralow sidelobe chaotic radar signal by modulating group delay method, IEEE Transactions on Aerospace and Electronic Systems, Year: 2015, Volume: 51, Issue: 4, Pages: 3023-3035
[9]M. Guasoni; P. Y. Bony; M. Gilles; A.. Picozzi; J. Fatome, Fast and chaotic fiber-based nonlinear polarization scrambler, IEEE Journal of Selected Topics in Quantum Electronics, Year: 2016, Volume: 22, Issue: 2, Article #: 4402012, DOI: 10.1109/JSTQE.2015.2501382.
[10]X. H. Mai; D. Q. Wei; B. Zhang; X. S. Luo, Controlling chaos in complex motor networks by environment, IEEE Transactions on Circuits and Systems II: Express Briefs, Year: 2015, Volume: 62, Issue: 6, Pages: 603-607.
[11]Y. Huang; P. Zhang; W. Zhao, Novel grid multiwing butterfly chaotic attractors and their circuit design, IEEE Transactions on Circuits and Systems II: Express Briefs, Year: 2015, Volume: 62, Issue: 5, Pages: 496-500.
[12]J. F. M. Verdulla; Manuel Jesus Lopez Sanchez; Manuel Prian Rodriguez, Experimental variable event based control for chua and gonzalez chaotic circuits, IEEE Latin America Transactions, Year: 2016, Volume: 14, Issue: 2, Pages: 530-540.
[13]T. Ohata; T. Saito, Stability analysis of multi-phase synchronization in paralleled buck converters with winner-take-all and loser-take-all switching rules, IEEE Journal on Emerging and Selected Topics in Circuits and Systems, Year: 2015, Volume: 5, Issue: 3, Pages: 345-353.
[14]M. P. Aghababa, Design of hierarchical terminal sliding mode control scheme for fractional-order systems, IET Science, Measurement & Technology, Year: 2015, Volume: 9, Issue: 1, Pages: 122-133.
[15]Y. Zhou; Z. Hua; C. M. Pun; C. L. Philip Chen, Cascade chaotic system with applications, IEEE Transactions on Cybernetics, Year: 2015, Volume: 45, Issue: 9, Pages: 2001-2012.
[16]P. J. Zhuo; Z. X. Zhang; X. F. Gou, Chaotic motion of a magnet levitated over a superconductor, IEEE Transactions on Applied Superconductivity, Year: 2016, Volume: 26, Issue: 2, Article #: 3600406, DOI:10.1109/TASC.2016.2519417.
[17]H. T. Yau; M. H. Wang, Chaotic eye-based fault forecasting method for wind power systems, IET Renewable Power Generation, Year: 2015, Volume: 9, Issue: 6, Pages: 593-599.
[18]B. Jovic, Chaos-Based bpsk communication system, Electronics Letters, Year: 2015, Volume: 51, Issue: 8, Pages: 630-632.
[19]D. L. Mancilla; E. V. Rauda; J. H. G. Lopez; Rider Jaimes Reategui; Guillermo Huerta Cuellar; Roger Chiu, Analysis of perturbed synchronization of piecewise rossler using sliding modes control, IEEE Latin America Transactions, Year: 2015, Volume: 13, Issue: 8, Pages: 2482-2487.
[20]Z. P. Wang; H. N. Wu, On fuzzy sampled-data control of chaotic systems via a time-dependent lyapunov functional approach, IEEE Transactions on Cybernetics, Year: 2015, Volume: 45, Issue: 4, Pages: 819-829.
[21]Y. J. Sun; Y. B. Mei; J. H. Chen, Tracking control scheme of uncertain DDP chaotic systems, 2015 Conference on Photonics and Communications (ISBN 978-986-378-066-3), Year: 2015, Kaohsiung, Taiwan, Pages: 274-278.
[22]Y. J. Sun; Y. B. Mei; J. H. Chen, Synchronization design of uncertain Ueda oscillator chaotic systems, 2015 Conference on Photonics and Communications (ISBN 978-986-378-066-3), Year: 2015, Kaohsiung, Taiwan, Pages: 269-273.