Abstract
Presents a control strategy for underactuated mechanical system: the acrobot example, which combines fuzzy control and linear quadratic control. The fuzzy controller designed for the upswing ensures that the energy of the acrobot increases with each swing. After the acrobot enters a neighborhood of the unstable straight-up equilibrium position, a linear quadratic regulator is designed to balance it.
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References
Oriolo G, Nakamura Y. Control of mechanical systems with second-order nonholonomic constraints: Underactuated manipulators. In: Proceedings of 30th IEEE Conference on Decision and Control. Brighton, England, 1991. 2398–2403
Brockett R W. Asymptotic stability and feedback stabilization in defferential geometric control theory. Progress in Mathematics, 1983, 27: 181–208
Murray R M, Li Z -X, Sastry S S. A mathematical introduction to robotic manipulation. London: CRC Press, 1994
Hauser J, Murray R M. Nonlinear controllers for non-integrable systems: The acrobot example. In: Proceedings of American Control Conference, 1990, 669–671
Spong M G. The swing up control problem for the acrobot. IEEE Control Systems Magazine, 1995, 15 (1): 49–55
Spong M G. Energy based control of a class of underactuated mechanical systems. In: Proceedings of IFAC 13th Triennial World Congress, San Francisco, USA, 1996. 431–435
Mamdani E H. Advances in the linguistic synthesis of fuzzy controllers. International Journal of Man-Machine Studies, 1976, 8: 669–679
Fortmann T E, Hitz K L. An introduction to linear control systems. New York: Marcel Dekker, INC, 1977
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Project supported by the National Natural Science Foundation of China
Synopsis of the first author Lai Xuzhi, Doctoral student, born in 1966, majoring in intelligent control, nonlinear control, and robot control.
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Lai, X., Cai, Z. & She, J. Motion control of a class of underactuated mechanical systems: The acrobot example. J Cent. South Univ. Technol. 6, 134–137 (1999). https://doi.org/10.1007/s11771-999-0016-4
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DOI: https://doi.org/10.1007/s11771-999-0016-4