Abstract
As the foundation of the multi-link PenduBot control, the mathematical model should be established first. Based on the method of kinematics and dynamics, the N-link PenduBot mathematical models are established in this paper, including the nonlinear model, the linear model and the generalized model which considers the motor characteristic. The natural characteristic of the system is analyzed. By using the condition number of the controllability matrix, the control difficulty for the higher order systems is compared. From the comparison result, the control law of the different links PenduBot is obtained. Increasing with the count of PenduBot links, the control difficulty is growing dramatically. Only a strong control measure can make it stable. So, further study on multi-link PenduBot can be carried on.
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References
Yuan, S.Q., Kang, X.W., Miao, M.C., Li, X.S.: Design and Analysis of Three Links Rotational Inverted Pendulum. In: 2006 International Conference on Information & Control Technology, Shenzhen, pp. 362–365 (2006)
Yuan, S.Q., Wang, D., Li, X.S.: Research on Control Problem of PenduBot Based on PSO Algorithm. In: 2009 International Conference on Computational Intelligence and Natural Computing, pp. 346–349. IEEE Press, Wuhan (2009)
Li, H.X., Wang, J.Y.: Modeling of n-order inverted pendulum. J. Fuzzy Systems and Mathematics. 16, 251–257 (2002)
Sun, Y.E., Wang, Y.: Analyses of the Multiple Rotational Inverted Pendulum. In: The 5th World Congress on intelligent Control and Automation, pp. 814–818. IEEE Press, Hangzhou (2004)
Wang, D.J., Cong, S., Qin, Z.Q.: Survey of Research on Inverted Pendulum Control System. J. Control Engineering of China 10, 9–13 (2003)
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© 2011 Springer-Verlag Berlin Heidelberg
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Shao-qiang, Y., Xin-xin, L. (2011). Modeling and Analyses of the N-link PenduBot. In: Qi, L. (eds) Information and Automation. ISIA 2010. Communications in Computer and Information Science, vol 86. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19853-3_103
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DOI: https://doi.org/10.1007/978-3-642-19853-3_103
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-19852-6
Online ISBN: 978-3-642-19853-3
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