Towards Velocity Turnpikes in Optimal Control of Mechanical Systems
Optimization and Control
2019-07-04 v1
Abstract
The paper proposes first steps towards the formalization and characterization of time-varying turnpikes in optimal control of mechanical systems. We propose the concepts of velocity steady states, which can be considered as partial steady states, and hyperbolic velocity turnpike properties for analysis and control. We show for a specific example that, for all finite horizons, both the (essential part of the) optimal solution and the orbit of the time-varying turnpike correspond to (optimal) trim solutions. Hereby, the present paper appears to be the first to combine the concepts of trim primitives and time-varying turnpike properties.
Keywords
Cite
@article{arxiv.1907.01786,
title = {Towards Velocity Turnpikes in Optimal Control of Mechanical Systems},
author = {Timm Faulwasser and Kathrin Flaßkamp and Sina Ober-Blöbaum and Karl Worthmann},
journal= {arXiv preprint arXiv:1907.01786},
year = {2019}
}
Comments
14 pages, 3 figures