Computational optimal control of the Saint–Venant PDE model using the time‐scaling technique

Abstract

AbstractThis paper proposes a new time‐scaling approach for computational–optimal control of a distributed parameter system governed by the Saint–Venant partial differential equations (PDEs). We propose the time‐scaling approach that 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 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. © 2015 Curtin University of Technology and John Wiley & Sons, Ltd.