Journal
AUTOMATICA
Volume 125, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2020.109403
Keywords
Triple pendulum; Periodic orbit; Two-degree-of-freedom control; Inversion-based feedforward control design
Funding
- German Academic Exchange Service (DAAD)
- Consejo Nacional de Ciencia y Tecnologia (CONACYT) through program PROALMEX (DAAD) [57155524]
- European Union [734832]
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This paper focuses on enhancing an inversion-based control approach for stabilizing a periodic orbit of a multi-link triple pendulum on a cart. By introducing a nominal trajectory and a linear-quadratic-Gaussian controller, the high performance and accuracy of the method are successfully demonstrated on an experimental setup.
In this paper, we enhance an inversion-based control approach towards the stabilization of a periodic orbit of a multi-link triple pendulum on a cart. To this end, a nominal trajectory is obtained by formulating the considered transition problem as a two-point boundary value problem (BVP) in input-output representation. For solvability of the resulting BVP, a setup function is introduced such that additional parameters are provided in the differential equation of the internal dynamics. Based on the linearized dynamics about the nominal trajectory, a linear-quadratic-Gaussian (LQG) controller is implemented to compensate for measurement noise, model uncertainties, and external disturbances. This way we achieve to force a triple pendulum to move along a non-trivial periodic orbit and render it attractive. The high performance and accuracy of our approach is illustrated on an experimental setup. (C) 2020 Elsevier Ltd. All rights reserved.
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