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.

Downloads

Download data is not yet available.

References

Liu, Y. & Yu, H. (2013). A survey of underactuated mechanical systems. IET Control Theory Appl., 7, Iss. 7, pp. 921-935.doi: https://doi.org/10.1049/ietcta.2012.0505

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

Formalsky, À. Ì. (2013). Motion Control of Unstable Objects. Moscow: FIZMATLIT (in Russian).

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 Nonlinear control of underactuated mechanical systems with application to robotics and aerospace vehicles.(unpublished candidate thesis).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