Riemannian Formulation of Pontryagin’s Maximum Principle for the Optimal Control of Robotic Manipulators

In this work, we consider robotic systems for which the mass tensor is identified to be the metric in a Riemannian manifold. Cost functional invariance is achieved by constructing it with the identified metric. Optimal control evolution is revealed in the form of a covariant second-order ordinary di...

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Bibliographic Details
Main Authors: Dubois, F. (Author), Ramírez-De-ávila, H.C (Author), Rojas-Quintero, J.A (Author)
Format: Article
Language:English
Published: MDPI 2022
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Online Access:View Fulltext in Publisher