Optimal Multireservoir Network Control by the Discrete Maximum Principle

Abstract

An optimal control algorithm based on the discrete maximum principle is applied to multireservoir network control. Variable metric techniques are used for direct solution of the resulting two‐point boundary value problem. State variable constraints are considered by use of penalty functions. Computer time and storage requirements are moderate and increase roughly linearly with the problem dimension. Application to a 10‐reservoir network demonstrates efficacy of the proposed algorithm.