Damping a pendulum’s swing by string length adjustment - design and comparison of various control methods

0507012 - ÚTIA 2020 RIV US eng C - Konferenční příspěvek (zahraniční konf.)
Anderle, Milan - Michiels, W. - Čelikovský, Sergej - Vyhlídal, T.
Damping a pendulum’s swing by string length adjustment - design and comparison of various control methods.
Proceedings of the 2019 American Control Conference (ACC). Piscataway: IEEE, 2019, s. 4399-4405. ISBN 978-1-5386-7928-9.
[American Control Conference (ACC) 2019. Philadelphia (US), 10.07.2019-12.07.2019]
Grant CEP: GA ČR(CZ) GA17-04682S
Grant ostatní: GA ČR(CZ) GA16-17398S
Institucionální podpora: RVO:67985556
Klíčová slova: Damping pendulum swing * Control Lyapunov function * Coriolis force
Obor OECD: Robotics and automatic control

A novel nonlinear control theory based feedback controller is proposed to damp the oscillations of the suspended load (pendulum) using the active modification of the length ofthe suspension string. This setting is a highly nonlinear one since the approximate linearization around the equilibrium working point is neither controllable, nor asymptotically stabilizable. The nonlinear design of the control law is therefore based on the conveniently selected control Lyapunov function. The resulting control law is then compared to the previously developed timedelay feedback control law, both in simulations and using the laboratory experimental realization of the suspended load system. Despite the fact that in the simulations the time-delay feedback control law suppresses the oscillations better than the nonlinear control law, in the experiments the performance of the time-delay feedback and of the nonlinear control law are rather similar. Moreover, the former keeps the pendulum string length oscillating, the latter stabilizes the nominal string length as well. Finally, the numerical optimization shows that the ideal damping would be provided by the impulsive-like control producing piece-wise constant string length dynamics.
Trvalý link: http://hdl.handle.net/11104/0298130