Nonlinear optimal control of an open-channel hydraulic system basedon an infinite-dimensional model

摘要

A nonlinear optimal control approach based on aninfinite-dimensional model is presented which determines the optimalopening of a regulator gate at the upstream end in the case of a singlereach hydraulic system, in order to minimize the waste water and thevariation of the water depth. The effectiveness of the control algorithmis demonstrated by a simulation example. The simulation results showgood improvements in reducing the variation of water depth compared tothe uncontrolled case. The Saint-Venant equations and their adjointequations have been solved numerically by using a nonlinear implicitintegration scheme (the Preissmann scheme). Our main contribution is thesolution of an open-channel control problem which includes a distributedparameter model, with nonlinearities, friction, canal slope, anadjustable regulator gate and a pumping station, via variationalcalculus