本論文中，我們除了設計一個模糊切換式灰色預測器。我們也結合了模糊控制器和PID控制器，來發展一個動態之控制系統。首先我們提出之預測器改善了傳統灰色預測器之RMS誤差。而灰色預測器根據系統誤差來產生系統預測誤差，且模糊控制器根據系統誤差及誤差變化量來產生一個誤差補償量，最後經由PID控制器來控制受控體。最後由基因演算法來調整上述控制器的所有參數。最後由一些例子可以顯現出我們所提出之方法的優點。

In this thesis, in addition to the design of a fuzzy-switching grey predictor, we integrate a fuzzy controller and a PID controller to develop a dynamic control system The proposed grey predictor improves the RMS error of the traditional grey predictor. The prediction error by the grey predictor and a fuzzy controller is then used to control a PID-controlled. The genetic algorithm is utilized to tune the parameters of the aforementioned controllers. Some illustrative examples are given to show the merits of the proposed method.

[1] B. Cheng, “The grey control on industrial process,” Journal of Huangshi College (in Chinese), vol. 1, pp. 11-23, 1986.
[2] Z. M. Chen, H. X. Lin, and Q. M. Hong, “The Design and Application of a Genetic-Based Fuzzy Gray Prediction Controller,” The Journal of Grey System (in Chinese), vol. 1, no. 1, pp. 33-45, 1998.
[3] H. S. Chen and W. C. Chang, “A Study of Optimal Grey Model GM(1,1),” The Journal of Grey System (in Chinese), vol. 1, no. 2, pp.141-145, 1998.
[4] J. H. Chen, “Fuzzy Controller and Grey Prediction Model Applied to the Motion Control of a Robot Arm under the Windows,” Master Thesis, NCU, 2001.
[5] J. H. Chen, H. L. Chen, H. Y. Chung, “Study on Fuzzy Controller and Grey Prediction Model for the Motion of a Robot,” Proc. 23nd National Symposium on Automatic Control, pp. 379-383, Taiwan, R.O.C., March 2001.
[6] K. A. DeJong, “An analysis of the behavior of a class of genetic adaptive system,” Ph.D. dissertation (CCS), Univ. Mech., Ann Arbor, 1975.
[7] J. L. Deng, “Control problems of grey system, ” Systems and Control Letters, vol. 5, pp. 288-294, 1982.
[8] L. Davis, Ed. Genetic Algorithms and Simulated Annealing. London: Pitman, 1987.
[9] J. L. Deng, “Introduction to Grey System Theory,” The Journal of Grey System, vol. 1, pp. 1-24, 1989.
[10] J. J. Grefenstette, R. Gopal, B. Rosmaita, and D. Van Gucht, “Genetic algorithm for the traveling salesman problem,” in Proc. Int. Conf. Genetic Algorithms and their Applications, pp. 160-165, 1985.
[11] J. J. Grefenstette, Ed., Pro. Int. Conf. Genetic Algorithm and their applications. Hillsdale, NJ: Lawrene Erlbaum Associates, 1985.
[12] D. E. Goldberg, “Engineering Optimization via Genetic Algorithm,” Ninth Conference on Electronic Computation, pp. 471-482, 1986.
[13] D. E. Goldberg, Genetic Algorithms in Search, Optimization and Machine Learning. Reading, MA: Addison-Wesley, 1989.
[14] J. H. Holland, “Outline for a logical theory of adaptive system,” J. ACM, vol. 3, pp. 297-314, 1962.
[15] C. C. Hang, K. J. Astrom, and W. K. Ho, “Refinements of the Ziegler-Nichols tuning formula,” Proc. IEE, Pt. D., vol. 138, pp. 111-118, 1991.
[16] Y. P. Huang and T. M. Yu, “The Hybrid Grey-Based Models for Temperature Prediction,” IEEE Transactions on System, Man and Cybernetics, Part B, vol. 272, pp. 284-292, 1997.
[17] M. L. Huang, T. C. Chang, K. L. Wen and J. H. Wu, “Selecting The performance of alpha for in GM(1,1) Model,” 1997 Second National Conference in Grey System Theory And Application, pp. 69-72, 1997.
[18] L. J. Jian and Z. Q. Zhi, “Grey Periodic Modified Prediction for Grain Yield,” The Journal of Grey System, vol. 3, pp. 221-226, 1991.
[19] K. Kristinsson and G. A. Dumont, “Genetic algorithms in system identification,” Third IEEE Int. symp. Intelligent contr., Arlington, VA, pp. 597-602, 1988.
[20] J. Mitzpatrick, J. J. Grefenstette, and D. Van Gucht, “Image registration by genetic search,” in Proc. IEEE southeastcon’84, pp. 460-464, 1984.
[21] Katsuhiko Ogata, “Modern Control Engineering,” Fourth Edition. Upper Saddle River, New Jersey, Prentice Hall, 2002.
[22] D. J. Scheffer, Ed., Proc. 3rd Int. Conf. Genetic Algorithms. Palo Alto, GA: Morgan Kaufmann, 1989.
[23] C. C. Wong and W. C. Liang, “Design of Switching Grey Prediction Controller,” The Journal of Grey System, vol. 1, pp. 47-60, 1997.
[24] C. C. Wong and C. C. Chen, “Switching Grey Prediction PID Controller Design,” The Journal of Grey System, vol. 4, pp. 323-333, 1997.
[25] C. C. Wong, W. C. Liang, H. M. Feng, and D. A. Chiang, “Grey Prediction Controller Design,” The Journal of Grey System, vol. 2, pp. 123-131, 1998.
[26] K. L. Wen and J. H. Wu, “The Application Research of Grey System Theory on Power Harmonic,” The Journal of Grey System (in Chinese), vol. 1, pp. 65-76, 1998.
[27] K. L. Wen, T. C. Chang, H. T. Chang and M. L. You, “The Adaptive alpha in GM(1,1) Model,” IEEE SMC’ 99 Conference Proceedings, pp. 301-308, 1999.
[28] X. W. Yang, “Assessment of Grey Modeling Accuracy,” The Journal of Grey System, vol. 6, pp. 297-303, 1994.
[29] H. T. Yang, Y. C. Liang, K. R. Shih and C. L. Huang, “Power System Yearly Peak Load Forecasting: A Grey System Modeling Approach,” International Conference on Engineering Management and Power Delivery, vol. 1, pp. 261-266, 1995.
[30] Z. Y. Zhao, M. Tomizuka, and S. Isaka, “Fuzzy Gain Scheduling of PID Controllers,” IEEE Trans. on Systems, Man, and Cybernetics, vol. 23, no. 5, pp. 1392-1398, 1993.
[31] Zhen-Yu Zhao, “Fuzzy Gain Scheduling of PID Controllers,” IEEE Transactions on System, Man, and cybernetics, vol. 23, no. 5, pp. 1392-1398, 1993.
[32] J. J. Zhao, “Design of Optimal Fuzzy Controllers Based on Genetic Algorithms,” Master Thesis, NCU, 1996.
[33] Yi-Sheng Zhou and Lin-Ying Lai, “Optimal Design for Fuzzy Controllers by Genetic Algorithms,” IEEE Transactions on Industry Applications, vol. 36, no. 1, pp. 93-97, 2000.
[34] 王文俊, “認識Fuzzy”, 全華科技圖書股份有限公司 出版, 1997.
[35] 江金山 等, “灰色理論入門”, 高立圖書有限公司 出版, 1998.
[36] 翁慶昌 等, “灰色系統基本方法及其應用”, 高立圖書有限公司 出版, 2001.
[37] 蔡孟儒, ”利用動態灰色預測系統之控制設計與應用”, 國立中央大學碩士論文, 2002.