Optimal Control of Interconnected Irrigation Tanks System

概要

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Distribution of water in an interconnected irrigation tanks system is discussed using mathematical models. Temporal variations in the storage volumes of irrigation tanks are modeled as ordinary differential equations describing flow continuity. The optimal control theory is applied to those continuity equations and a performance index evaluating the storage deviations from the target values as well as the terminal time when an irrigation tank dries up. A minimum principle is deduced to characterize an optimal strategy for release discharges in the connection channels. It is shown that such an optimal strategy is obtained via forward calculation by means of adjoint system. Demonstrative simulations are implemented under appropriate settings of the target values, weight in the performance index, and water saving strategy of demand side. The results show that this methodology is simple and feasible.
日本雨水資源化システム学会の論文