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arXiv · 1510.09021

Computational Optimal Control of the Saint-Venant PDE Model Using the Time-scaling Technique

Tehuan Chen·Chao Xu
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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.

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Tehuan Chen, Chao Xu. 2015-10-30. Computational Optimal Control of the Saint-Venant PDE Model Using the Time-scaling Technique. https://arxiv.org/abs/1510.09021

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