Abstract
This paper focuses on the control problem of the quadruple inverted pendulum by variable universe adaptive fuzzy control. First, the mathematical model on the quadruple inverted pendulum is described and its controllability is versified. Then, an efficient controller on the quadruple inverted pendulum is designed by using variable universe adaptive fuzzy control theory. Finally the simulation of the quadruple inverted pendulum is shown in detail. Besides, the experimental results on the hardware systems, i.e. real object systems, on a single inverted pendulum, a double inverted pendulum and a triple inverted pendulum are briefly introduced.
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References
Magana, M. E., Fuzzy-logic control of an inverted pendulum with vision feedback, IEEE Transactions on Education, 1998, 41(2): 165.
Chen, C. S., Chen, W. L., Robust adaptive sliding-mode control using fuzzy modeling for an inverted-pendulum system, IEEE Transactions on Industrial Electronics, 1998, 45(2): 297.
Cheng, F. Y., Zhong, G. M., Li, Y. S. et al., Fuzzy control of a double-inverted pendulum, Fuzzy Sets and System, 1996, 79(3): 315–321.
Zhang, H. M., Ma, X. W., Xu, W. et al., Design fuzzy controllers complex systems with an application to 3-stage inverted pendulums, Information Sciences, 1993, 72: 271.
Zhang, M. L., Hao, J. K., Hei, W. D., Personification intelligence control and triple inverted pendulum, Journal of Aeronautics (in Chinese), 1995, 16(4): 654.
Li, H. X., To see the success of fuzzy logic from mathematical essence of fuzzy control, Fuzzy Systems and Mathematics (in Chinese), 1995, 9(4): 1–14.
Li, H. X., Mathematical essence of fuzzy controls and design of a kind of high precision fuzzy controllers, Control Theory and Application (in Chinese), 1997, 14(6): 868.
Li, H. X., Adaptive fuzzy controllers based on variable universe, Science in China, Ser. E, 1999, 42(1): 10.
Li, H. X., Interpolation mechanism of fuzzy control, Science in China, Ser. E, 1998, 41(3): 312.
Li, H. X., The equivalence between fuzzy logic systems and feedforward neural networks, Science in China, Ser. E, 2000, 43(1): 42.
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Li, H., Zhihong, M. & Jiayin, W. Variable universe adaptive fuzzy control on the quadruple inverted pendulum. Sci. China Ser. E-Technol. Sci. 45, 213–224 (2002). https://doi.org/10.1360/02ye9026
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DOI: https://doi.org/10.1360/02ye9026