| 研究生: |
駱樂 Luoh Leh |
|---|---|
| 論文名稱: |
模糊控制系統的穩定性分析及設計 Stability Analysis and Design for Fuzzy Control Systems |
| 指導教授: |
王文俊
Wen-June Wang |
| 口試委員: | |
| 學位類別: |
博士 Doctor |
| 系所名稱: |
資訊電機學院 - 電機工程學系 Department of Electrical Engineering |
| 畢業學年度: | 89 |
| 語文別: | 中文 |
| 論文頁數: | 100 |
| 中文關鍵詞: | 李亞普若夫穩定法則 、控制器設計 、穩定性分析 、模糊控制系統 、模糊大型系統 、最佳控制 |
| 外文關鍵詞: | Lyapunov Stability Criteria, Controller Design, Stability Analysis, Fuzzy Control Systems, Fuzzy Large-Scale System, Optimal Control |
| 相關次數: | 點閱:11 下載:0 |
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Moreover, this dissertation also investigates an alternative stabilization for T-S fuzzy control system. Based on the T-S model in phase-variable canonical form, one can design the T-S fuzzy control system to fulfill different specification in different operating region. In the meantime, the existing common P problem in the T-S fuzzy system may just satisfy partial number of Lyapunov equations but not all Lyapunov equations. Hence, the stability of the T-S fuzzy control system can be guaranteed much easier.
Furthermore, the fuzzy logic control design strategy is applied to the complex fuzzy large-scale systems. After choosing some operating point, the fuzzy large-scale systems is first decomposed by the T-S fuzzy model. Accordingly, some sufficient conditions are constructed for ensuring the stability of the global fuzzy system. The demanding for an exact model in traditional control strategy is then resolved.
Several illustrative examples and simulations are used to demonstrate that the proposed approaches are effective and workable. Besides, the designing procedure for the T-S fuzzy system is systematic and simplified.
1.B. D. O. Anderson and J. B. Moore, Optimal Control-Linear Quadratic Methods, Prentice-Hall, Inc, 1989.
2.S. Boyd et al., Linear Matrix Inequalities in Systems and Control Theory, SIAM. Philadelphia, PA, 1994.
3.J.J. Buckley, "Universal fuzzy controllers," Automatica, vol. 28, pp. 1245-1248, 1992.
4.S. G. Cao, N. W. Rees, and G. Feng, "Stability analysis and design for a class of continuous-time fuzzy control systems," International Journal of Control, Vol. 64, No. 6, pp. 1069-1087, 1996.
5.S. G. Cao, N. W. Rees, and G. Feng, "Quadratic stability analysis and design of continuous-time fuzzy control systems," International Journal of Systems Science, Vol. 27, No. 2, pp. 193-203, 1996.
6.S. G. Cao, N. W. Rees, and G. Feng, "Analysis and design for a class of complex control systems Part II: Fuzzy controller design," Automatica, Vol. 33, No. 6, pp. 1029-1039, 1997.
7.S. G. Cao, N. W. Rees, and G. Feng, "Lyapunov-like stability theorems for continuous-time fuzzy control systems," International Journal of Control, Vol. 1, No. 1, pp. 49-64, 1998.
8.S. G. Cao, N. W. Rees, and G. Feng, "Analysis and deisng of fuzzy control systems using dynamic fuzzy-state space models," IEEE Trans. on Fuzzy Systems, Vol. 7, No. 2, pp. 192-200, 1999.
9.B. S. Chen and W. J. Wang, "Robust stabilization of nonlinearly perturbed large-scale systems by decentralized observer-controller compensators," Automatica, vol. 26, pp. 1035-1041, 1990.
10.F. Cuesta, F. Gordillo, J. Aracil, and A. Ollero, "Stability analysis of nonlinear multivariable Takagi-Sugeno fuzzy control systems," IEEE Trans. on Fuzzy Systems, Vol. 7, No. 5, 1999.
11.E. J. Davison, "The decentralized stabilization and control of unknown nonlinear time varying systems," Automatica, vol. 10, pp. 309-316, 1974.
12.G. Feng , S. G. Cao, N. W. Rees, and C. K. Chak, "Design of fuzzy control systems with guaranteed stability," Fuzzy Sets and Systems, Vol. 85, pp. 1-10, 1997.
13.S. Gutman, "Uncertain dynamic systems-a Lyapunov min-max approach," IEEE Trans. on Automatic Control, Vol. 24, pp. 438-443, 1979.
14.M. Ikeda and D. D. Siljak, "Decentralized stabilization of linear time-varying systems," IEEE Trans. Automat. Contr., vol. AC-25, pp. 106-107, 1980.
15.M. Jamshidi, Large-Scale System Modeling and Control, Elsevier, North-Holland, New York, 1983.
16.D. F. Jenkins and K. M. Passino, "An introduction to nonlinear analysis of fuzzy systems," Journal of Intelligent and Fuzzy Systems, Vol. 7, pp. 75-103, 1999.
17.J. Joh, Y. H. Chen, and R. Langari, "On the stability issues of linear Takagi-Sugeno fuzzy models," IEEE Trans. on Fuzzy Systems, Vol. 6, No. 3, pp. 402-410, 1998.
18.M. Johansson, A. Rantzer, and K. E. , "Piecewise quadratic stability of fuzzy systems," IEEE Trans. on Fuzzy Systems, Vol. 7, No. 6, pp. 713-722, 1999.
19.H. J. Kang, C. Kwon, H. Lee, M. Park, "Robust stability analysis and design method for the fuzzy feedback linearization regulator," IEEE Trans. on Fuzzy Systems, Vol. 6, No. 4, pp. 464-472, 1998.
20.K. Kiriakidis, A. Grivas, and A. Tzes, "Quadratic stability analysis of the Takagi-Sugeno fuzzy model," Fuzzy Sets and Systems, Vol. 98, pp. 1-14, 1998.
21.K. Kiriakidis, "Non-linear control system design via fuzzy modeling and LMIs," International Journal of Control, Vol. 72, No. 7/8, pp. 676-685, 1999.
22.G. J. Klir and B. Yuan, Fuzzy Sets and Fuzzy Logic, Prentice-Hall: New Jersey, 1995.
23.H. Kwakernaak and R. Sivan, Linear Optimal Control Systems, by John Wiley & Sons, Inc. 1972.
24.H. K. Lam, F. H. F. Leung, and P. K. S. Tam, "Stable and robust fuzzy control for uncertain nonlinear systems based on a grid-point approach," IEEE Conference on Fuzzy Systems, pp. 87-92, 1997.
25.C. C. Lee, "Fuzzy Logic in Control Systems: Fuzzy Logic Controller, Part I, " IEEE Trans. on Systems, Man, and Cybernetics, Vol. 20, No. 2, pp. 404-418, 1990.
26.F. H. F. Leung, L. K. Wong, and P. K. S. Tam, ''Fuzzy model based controller for an inverted pendulum,'' Electronics Letters, vol. 32, no. 18, pp. 1683-1685, 1996.
27.F. H. F. Leung, H. K. Lam, and P. K. S. Tam, "Design of fuzzy controllers for uncertain nonlinear systems using stability and robustness analysis," Systems and Control Letters, Vol. 35, pp. 237-243, 1998.
28.F. H. F. Leung, H. K. Lam, and P. K. S. Tam, "Design of fuzzy contollers for uncertain nonlinear system using stability and robustness analysis," Systems and Control Letters, Vol. 35, pp. 237-243, 1998.
29.C. T. Lin and C. S. G. Lee, Neural fuzzy systems: A neuro-fuzzy synergism to intelligent systems, Prentice Hall PTR, 1996.
30.X. J. Ma, Z. Q. Sun, and Y. Y. He, "Analysis and design of fuzzy controller and fuzzy observer," IEEE Trans. on Fuzzy Systems, Vol. 6, No. 1, pp. 41-51, 1998.
31.M. S. Mahmoud, "Multilevel systems control and application: a survery," IEEE Trans. Syst., Man, Cybern., Vol. SMC-7, pp. 125-143, 1977.
32.E. H. Mamdani and S. Assilian, "Applications of fuzzy algorithms for control of simple dynamic plant," Proceedings of the Institution of Electrical Engineers, Pt D, Vol. 121, pp. 1585-1588, 1974
33.E. H. Mamdani, "Advances in the linguistic synthesis of fuzzy controllers," International Journal of Man-Machine Studies, Vol. 8, No. 6, pp.669-678, 1976.
34.A. N. Michel and R. K. Miller, Qualitative Analysis of Large Scale System. Academic Press : New York, 1977.
35.R. Palm, D. Driankov, and H. Hellendoorn, Model Based Fuzzy Control, Springer-Verlag Berlin Heidelberg, 1997.
36.W. Pedrycz, "An approach to the analysis of fuzzy systems," International Journal of Control, Vol. 34, No. 3, pp. 403-421, 1981.
37.M. E. Sezer and O. Huseyin, "Stabilization of linear time-invariant interconnected systems using local state feedback," IEEE Trans. Syst., Man, Cybern., vol. SMC-8, pp. 751-756, 1978.
38.J. J. E. Sltine and W. Li, Applied Nonlinear Control, Englewoo Cliffs, New Jersey: Prentice-Hall, 1991.
39.M. Sugeno and T. Yasukawa, "A fuzzy logical based approach to qualitative modelling," IEEE Trans. on Fuzzy Systems, Vol. 1, pp. 7-25, 1993.
40.T. Takagi and M. Sugeno, "Fuzzy identification of systems and its applications to modeling and control," IEEE Trans. on Systems, Man, Cybernet, Vol. 15, No. 1, pp. 116-132, 1985.
41.K. Tanaka and M. Sugeno, "Stability analysis and design of fuzzy control systems," Fuzzy Sets and Systems, Vol. 45, pp. 135-156, 1992.
42.K. Tanaka and M. Sano, "A robust stabilization problem of fuzzy control systems and its application to backing up control of a truck-trailer," IEEE Trans. on Fuzzy Systems, Vol. 2, pp. 119-134, 1994
43.K. Tanaka, T. Ikeda, and H. O. Wang, " Robust stabilization of a class of uncertain nonlinear system via fuzzy control: Quadratic stability, control theory, and linear matrix inequalities," IEEE Trans. on Fuzzy Systems, Vol. 4, No. 1, pp. 1-13, 1996.
44.K. Tanaka, T. Ikeda, and H. O. Wang, "Fuzzy regulators and fuzzy observers: Relaxed stability conditions and LMI-based designs," IEEE Trans. on Fuzzy Systems, Vol. 6, No. 2, pp. 250-265, 1998.
45.M. C. M. Teixeira and S. H. ak, "Stabilizing controller design for uncertain nonlinear systems using fuzzy models," IEEE Trans. on Fuzzy Systems, Vol. 7, No. 2, pp.133-142, 1999.
46.W. E. Thompson, "Exponential stability of interconnected systems," IEEE Trans. Automat. Contr., Vol. AC-15, pp. 504-506, 1970
47.R. M. Tong, "Some properties of fuzzy feedback systems," IEEE Trans. on Systems, Man, Cybernet., Vol. 10, No. 6, pp. 327-330, 1980
48.V. I. Utkin, Sliding models in control and optimization, New York: Springer-Verlag, 1992.
49.H. O. Wang, K. Tanaka, and M. F. Griffin, "An approach to fuzzy control of nonlinear systems: stability and design issues," IEEE Trans. on Fuzzy Systems, Vol. 4, pp. 14-23, 1996.
50.L. X. Wang, "Fuzzy systems are universal approximators," Proc. IEEE International Conf. on Fuzzy Systems, San Diego, pp. 1163-1170, 1992.
51.L. X. Wang, A Course in Fuzzy Systems and Control, Prentice-Hall PTR, 1997.
52.W. J. Wang and C. F. Cheng, "Robustness of perturbed large-scale systems with local constant state feedback," Internat. J. Control, }vol. 50, no. 1, pp. 373-384, 1989.
53.W. J. Wang and C. F. Cheng, "Robustness of perturbed large-scale systems with local constant state feedback," Internat. J. Control, }vol. 50, no. 1, pp. 373-384, 1989.
54.W. J. Wang, C. S. Sun, and L. Luoh, "Relaxed conditions for T-S fuzzy systems," 9th, IFSA World Congress and 20TH NAFIPS, International Conference, Vancouver and Canada, to be published.
55.W. J. Wang and L. Luoh, "Alternative stabilization design for fuzzy systems," Electronics Letter, Vol. 37, No. 9, pp. 601-603, 2001.
56.A. Winmann, Uncertain Models and Robust Control, Springer-Verlag, Austria, 1991.
57.Z. M. Yeh, "A systematic method for design of multivariable fuzzy logic control systems," IEEE Trans. on Fuzzy Systems, Vol. 7, No. 5, pp. 741-752.
58.H. Ying, "An analytical study on structure, stability and design of general nonlinear Takagi-Sugeno fuzzy control systems," Automatica, Vol. 34, No. 12, pp. 1617-1623, 1998.
59.L. A. Zadeh, "Outline of a new approach to the analysis of complex systems and decision processes," IEEE Trans. on Systems, Man, and Cybernetics, Vol. 3, pp.28-44, 1973.
60.S. H. , "Stabilizing fuzzy system models using linear controllers," IEEE Trans. on Fuzzy Systems, Vol. 7, No. 2, pp. 236-240, 1999.