An algorithm for bang–bang control of fixed-head hydroplants

Abstract

This paper deals with the optimal control (OC) problem that arise when a hydraulic system with fixed-head hydroplants is considered. In the frame of a deregulated electricity market, the resulting Hamiltonian for such OC problems is linear in the control variable and results in an optimal singular/bang–bang control policy. To avoid difficulties associated with the computation of optimal singular/bang–bang controls, an efficient and simple optimization algorithm is proposed. The computational technique is illustrated on one example.

Keywords:

• optimal control
• singular/bang–bang problems
• hydroplants

2000 AMS Subject Classification :

• 49J30