Title
On the design of stable periodic orbits of a triple pendulum on a cart with experimental validation
Abstract
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.
Year
DOI
Venue
2021
10.1016/j.automatica.2020.109403
Automatica
Keywords
DocType
Volume
Triple pendulum,Periodic orbit,Two-degree-of-freedom control,Inversion-based feedforward control design
Journal
125
Issue
ISSN
Citations 
1
0005-1098
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Benjamin Jahn100.34
Lars Watermann200.34
Johann Reger34017.29