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End-effector trajectory tracking of flexible link parallel robots using servo constraints
Citation Link: https://doi.org/10.15480/882.4625
Publikationstyp
Journal Article
Date Issued
2022-07-14
Sprache
English
Author(s)
Institut
TORE-DOI
Journal
Volume
56
Issue
1
Start Page
1
End Page
28
Citation
Multibody System Dynamics 56 (1): 1-28 (2022)
Publisher DOI
Scopus ID
Publisher
Springer Science + Business Media B.V.
Peer Reviewed
true
We apply the concept of servo constraints to end-effector trajectory tracking control of parallel robots with structural link flexibilities. Such servo constraints deliver the inverse robot model where solution approaches via projections are proposed, which transform the resulting differential-algebraic equations to ordinary differential equations. The applicable solution process depends on the existence and stability of the internal dynamics. When using the exact end-effector of flexible link robots as output, this internal dynamics is usually unstable. Then a two-point boundary value problem is considered in the framework of stable inversion to obtain the noncausal solution offline. This solution is used as a feedforward control, which is initially combined only with actuator feedback control. To also account for errors within the link flexibility, the well-known linear–quadratic regulator is adapted to end-effector trajectory tracking based on differential-algebraic equations. Finally, we propose a systematic input–output feedback linearization approach, which uses servo constraints for flexible link parallel robots. Here a minimum phase system is obtained by tracking a redefined end-effector output, which is an approximation of the exact end-effector position. All control concepts are validated experimentally with a parallel robot having a highly flexible link. The results allow us to compare different control approaches and show the superior performance of controllers that rely on a flexible multibody model in contrast to classical rigid multibody modeling.
Subjects
Algebraic constraints
Feedback linearization
Flexible link
Linear–quadratic regulator
Model inversion
Trajectory tracking
DDC Class
530: Physik
600: Technik
620: Ingenieurwissenschaften
Publication version
publishedVersion
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