Computational Optimal Control of the Saint-Venant PDE Model Using the Time-scaling Technique
For researchers in computational optimal control of distributed parameter systems, this work offers an incremental improvement by adapting time discretization to enhance solution accuracy.
This paper introduces a time-scaling technique for optimal control of Saint-Venant PDEs, enabling nonuniform time discretization. The method improves optimization performance compared to uniform time steps, as demonstrated in simulations.
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.