Computational Optimal Control of the Saint-Venant PDE Model Using the Time-scaling Technique
Systems and Control
2015-11-02 v1
Abstract
This paper proposes a new time-scaling approach for computational optimal control of a distributed parameter system governed by the Saint-Venant PDEs. We propose the time-scaling approach, which can change a uniform time partition to a nonuniform one. We also derive the gradient formulas by using the variational method. Then the method of lines (MOL) is applied to compute the Saint-Venant PDEs after implementing the time-scaling transformation and the associate costate PDEs. Finally, we compare the optimization results using the proposed time-scaling approach with the one not using it. The simulation result demonstrates the effectiveness of the proposed time-scaling method.
Keywords
Cite
@article{arxiv.1510.09021,
title = {Computational Optimal Control of the Saint-Venant PDE Model Using the Time-scaling Technique},
author = {Tehuan Chen and Chao Xu},
journal= {arXiv preprint arXiv:1510.09021},
year = {2015}
}