On the construction of a control over the pendulum movement by the rotation of an inertial flywheel

Authors

  • A.S. Khoroshun S.P. Timoshenko Institute of Mechanics of the NAS of Ukraine, Kiev

DOI:

https://doi.org/10.15407/dopovidi2018.04.041

Keywords:

equilibrium position, global asymptotic stability, inertial flywheel, underactuated mechanical system

Abstract

An example of the underactuated mechanical system, which is a pendulum, whose motion is controlled by the ro tation of a flywheel, is investigated. The explicit form of the control law of the flywheel rotation, which ensures the stabilization of the upper equilibrium position of the pendulum, is obtained.

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References

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Khoroshun, A. S. (2016). Stabilization of the Upper Equilibrium Position of a Pendulum by Spinning an Inertial Flywheel. Int.Appl.Mech., 52, Iss. 5, pp. 547-556. doi: https://doi.org/10.1007/s1077801607751 (in Russian).

Spong, M. W., Corke, P. & Lozano, R. (2001). Nonlinear control of the inertia wheel pendulum. Automatica., 37, pp. 1845-1851.doi: https://doi.org/10.1016/S00051098(01)001455

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Quaiser, Nadeem, Iqbal, N., Hussain, A. & Qaiser, Naeem (2007). Exponential stabilization of the inertia wheel pendulum using dynamic surface control. J. Circuits, Systems and Computers, 16, No. 1, pp. 81-92. doi: https://doi.org/10.1142/S0218126607003514

Reza, OlfatiSaber (2001). Nonlinear control of underactuated mechanical systems with application to robotics and aerospace vehicles.(unpublished candidate thesis). Massachusetts Institute of Technology, Cambridge, MA.

Song, B. & Hedrick, J.K. (2011). Dynamic surface control of uncertain nonlinear systems. An LMI approach. London: Springer. doi: https://doi.org/10.1007/978-0-85729-632-0

Published

12.05.2024

How to Cite

Khoroshun, A. (2024). On the construction of a control over the pendulum movement by the rotation of an inertial flywheel . Reports of the National Academy of Sciences of Ukraine, (4), 41–46. https://doi.org/10.15407/dopovidi2018.04.041