The Dynamic Swing-Up Control of Ball and Beam System Based on Periodic Input

Abstract:

This template explains and demonstrates how to prepare your camera-ready paper for Trans Tech Publications. The best is to read these instructions and follow the outline of this text. In this paper, the motion of the ball and beam system based on periodic input is studied, the chaos of the system is discussed , and the relationship of the chaos and the input parameters is analyzed . on the premise of avoiding chaos, the trajectory motion law of points with suitable oscillation parameters is studied in the poincare cross-sectional view. And the swing-up control law of ball and beam system is submitted, it consists of such three parts: increasing the range of swing , adjustment and maintain constant swing .Finally, the simulations result is given to verify the efficiency of control law.

• Periodical: Applied Mechanics and Materials (Volumes 635-637)
• Pages: 1275-1280
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.635-637.1275
• Online since: September 2014
• Authors: Liu Bo*, Lin Tang
• Keywords: Ball, Beam System, Chaos, Periodic Input, Poincare Cross-Sectional View, Swing-Up Control

References

[1] S. M. Meerkov, Principle of vibrational control: theory and applications [J]. IEEE Transactions on Automatic Control, 1980, 25(2): 755-762.

DOI: 10.1109/tac.1980.1102426

[2] J. Beillieul and B. Lehman, Vibrational control of nonlinear control systems: vibrational stabilizability[J]. IEEE Transactions on Automatic Control, 1986, 31(3): 717-724.

DOI: 10.1109/tac.1986.1104383

[3] S. P. Weibel and J. Bailliwul, Open-loop oscillatory stabilization of an n-pendulum[J]. International Journal of Control, 1998, 71(5): 931-957.

DOI: 10.1080/002071798221641

[4] Salvatore S, Esposito E, Miller J. Ball & beam control system [J]. IEEE Transactions on Automatic Control , 2002, 30(3): 376-388.

[5] K.J. Astrom. Swinging up a Pendulum by energy control[J]. Automatica, 2000, 36(2): 287-295.

DOI: 10.1016/s0005-1098(99)00140-5

[6] I. Fantoni, R. Lozano and M.W. Spong. Energy based control of the Pendubot. IEEE Transaction on Automatic Control, 2000, 45(4): 725-729.

DOI: 10.1109/9.847110

[7] J. Hauser, S. Sastry, P. Kokotovic. Nonlinear Control Via Approximate Input-Output Linearization: The Ball and Beam Example[J]. IEEE Transactions On Automatic Control, 2000, 37(3): 392~398.

DOI: 10.1109/9.119645

[8] X. Xin,M. Kaneda. Analysis of the energy-based control for swinging up two pendulums[J]. IEEE Transaction on Automatic control, 2005, 50(5): 679-684, (2005).

DOI: 10.1109/tac.2005.846598

[9] N. H. Jo, J. H. Seo. A State Observer for Nonlinear Systems and its Application to Ball and Beam[J]. IEEE Transactions On Automatic Control, 2000, 45(5): 968~973.

DOI: 10.1109/9.855562

[10] J. Q. Yi, N. Yubazaki, K. Hirota. Stabilization Control of Ball and Beam Systems[J]. IEEE Transactions On Automatic Control, 2000, 37(2): 229~234.

[11] K. S. Hong, An open-loop control for underactuated manipulators using oscillatory inputs: steering capability of an unactuated joint[J]. IEEE Transactions on Control Systems Technology, 2002, 10(3): 469-480, (2002).

DOI: 10.1109/87.998037

[12] Y. Nakamura, T. Suzuki and M. Koinuma, Nonlinear behavior and control of a nonholonomic free-joint manipulator[J]. IEEE Transactions on Robotics and Automation, 1997, 13(6): 853-862.

DOI: 10.1109/70.650164