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研究生:方建章
研究生(外文):Chien-Chang Fang
論文名稱:以基因規劃法為基礎之雙速率數位再設計應用於混沌輸入飽和系統
論文名稱(外文):New Conditioning Dual-Rate Digital Redesign Scheme Based on GA for Chaotic Systems with Saturating Actuators
指導教授:蔡聖鴻
指導教授(外文):Jason Sheng-Hong Tsai
學位類別:碩士
校院名稱:國立成功大學
系所名稱:電機工程學系碩博士班
學門:工程學門
學類:電資工程學類
論文種類:學術論文
論文出版年:2002
畢業學年度:90
語文別:英文
論文頁數:75
中文關鍵詞:輸入飽和混沌系統基因規劃法
外文關鍵詞:GAinput-saturationchaotic system
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本論文主旨在於探討具輸入飽和之系統,利用基因演算法為基礎的數位再設計,針對不同的輸入限制和不同的輸入訊號,可使輸入控制信號可以在輸入限制之下,得到最好的效能,並在不改變已存在系統架構的條件下,利用附加迴路來改善由於捲起效應所造成的非預期現象,並討論應用於非線性的混沌系統。在今日個人電腦的普及和數位晶片的發達與其良好的功能,如何從類比控制器轉換成數位控制器並儘可能保有原類比控制系統之性能亦是本論文主要的研究主題。
This thesis addresses some basic ideas for the systems analysis and synthesis with input saturation. By utilizing the digital redesign based genetic algorithm (GA), the control
systems can obtain well-performance for various input signals and constraints. The control object is to improve the performance without changing the existing structure. Then, the
scheme is experienced that tracking a periodic orbit within a chaotic system. With the rapid advances in computers and microprocessors, the important idea is to replace some existing
continuous controllers to associate with the digital implementation of digital signal processing chips.
中文摘要..............................................I
Abstract..............................................II
List of Figures..............................................V
Chapter 1.Introduction ..............................................1-1
Chapter 2. Optimal Control of Hybrid System under Input Constraints: Genetic Algorithm Based Digital Redesign
2.1 Introduction..............................................2-1
2.2 Linearonditioning ..............................................2-3
2.3 Linear quadratic tracker. ..............................................2-5
2.4 A digital redesigned dual-rate conditioning-transfer tracker..............................................2-6
2.4.1. A digitally redesigned slow-rate tracker ..............................................2-6
2.4.2. Digital redesign of analog system based
on using GA..............................................2-9
2.4.3. A digitally redesigned fast-rate bumpless-transfer tracker ............................................2-13
2.5 Discussion of stability. ..............................................2-17
2.6 Illustrative examples. ..............................................2-20
2.6.1 Example 2.1. ..............................................2-20
2.6.2 Example 2.2. ..............................................2-24
2.6.3 Example 2.3. ...................................2-28
2.7 Summary. ...................................2-34
Chapter 3. New Conditioning Dual-Rate Digital Redesign Scheme for Chaotic Systems with Saturating Actuators
3.1 Introduction...................................3-1
3.2 Optimal linearization ...................................3-2
3.3 Digital redesign scheme for a nonlinear chaotic system...................................3-7
3.4 An Illustrative example...................................3-8
3.5 Summary ...................................3-15
Chapter 4. Conclusions...................................4-1
Appendix...................................A-1
References
Acknowledgments
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[2] Astrom, K. J. and B. Wittenmark, Computer Controlled Systems, Englewood Cliffs, New Jersey: Prentice-Hall, 1997.
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[4] Cao, Y. J. “Eigenvalue optimisation problem via evolutionary programming”, Electronics Letters, vol. 33, no. 7, 1997.
[5] Chen, G. and T. Ueta, “Yet another chaotic attractor,” Int. J. Bifurcation chaos, vol. 9, pp.1465-1466, 1999
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[7] Durham, W, “Constrained control allocation“, Journal of Guidance, control, and Dynamics, vol. 21, no. 4, pp. 717-725, 1993.
[8] Edwards, C. and I. Postlethwaite, “Anti-windup and bumpless-transfer schemes,” Automatica, vol. 34, pp. 199-210, 1998.
[9] Fujimoto, H., A. Kawamura and M. Tomizuka, “Generalized digital redesign method for linear feedback system based on n-delay control,” IEEE/ASME Trans. Mechaton, vol. 4, pp. 101-109, June 1999.
[10] Fujimoto, H., J. Hori and A. Kawamura, “Perfect tracking control based on multi-rate feedback control with generalized sampling periods,” IEEE Trans. on Industrial Electronics, vol. 48, no. 3, pp. 636-644, 2001.
[11] Guo, S. M., L. S. Shieh, G. Chen and C. F. Lin, “Effective chaotic orbit tracker: a prediction-based digital redesign approach,” IEEE Trans. on Circuits and Systems - I, Fundamental Theory and Applications, vol. 47, no. 11, pp 1557-1570, Nov 2000.
[12] Hanus, R., M. Kinnaert and J. L. Henrotte, “Conditioning technique, a general anti-windup and bumpless transfer method,” Automatica, vol. 23, pp. 729-739,1987.
[13] Ieko, T., Y. Ochi and K. Kanai, “Digital redesign of linear state-feedback law via principle of equivalent areas,” Journal of Guidance, Control, and Dynamics, vol. 24, pp. 857-859, 2001.
[14] Kothare, M. V., P. J. Campo, M. Morari and C. N. Nett, “A unified framework for the study of anti-windup design,” Automatica, vol. 30, pp. 1869-1883, 1994.
[15] Kuo, B. C., Digital Control Systems, New York: Hort, Rinehart and Winston, 1980.
[16] Lewis F. L. and V. L. Syrmos, Optimal Control, New York, Wiley, 1986.
[17] Peng, Y., D. Vrancic and R. Hanus, “Anti-windup, bumpless, and conditioned transfer techniques for PID controllers,” IEEE on Control Systems Magazine, vol. 16, pp. 48-57, 1996.
[18] Polites, M. E., “Ideal state reconstructor for deterministic digital control systems,” International Journal of Control, vol. 49, pp. 2001-2011, 1989.
[19] Rafee, N., T. Chen and O. P. Malik, “A technique for optimal digital redesign of analog controllers,” IEEE Trans. on Control Systems Technology, vol. 5, no. 1, pp. 89-99, 1997.
[20] Shieh, L. S., G. Chen and J. S. H. Tsai, “Hybrid suboptimal control of multi-rate multi-loop sampled-data systems,” International Journal of System Sciences, vol. 23, pp. 839-852, 1992.
[21] Shieh, L. S., H. M. Dib and S. Ganesan, “Continuous-time quadratic regulators and pseudo-continuous-time quadratic regulators with pole placement in a specific region.” IEE Proc., vol. 134, Pt. D, no. 5, pp. 338-346, 1987.
[22] Shieh, L. S., W. M. Wang and M. K. A. Panicker, “Design of PAM and PWM digital controllers for cascaded analog systems,” ISA Transaction, vol. 37, pp. 201-213, 1998.
[23] Westen, P. and I. Postlethwaite, “Linear conditioning for systems containing saturating actuators,” Automatica, vol. 36, pp. 1347-1354, 2000.
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