An Optimal Control of Water Level Considering Time-Delay System

This paper presents a numerical application of the optimal control considering time- delay system to the flood control with drainage basin. The optimal control theory is used to obtain the control values which satisfies the state equation and minimizes performance function. Feature of this study is application of time-delay system to control problems. Two kinds of control values which has time difference can be introduced. Those are quantity of water intake and release in drainage basin. These control values are correlated with each other, which can be modeled by the time-delay system. The Sakawa-Shindo method is employed for the minimization algorithm. To calculate the water flow phenomenon, the shallow water equation is employed. The Clank-Nicolson method is applied to temporal discretization and the stabilized bubble function method is applied to spatial discretization. As the numerical model, the flood flow in the Tsurumi river which locates in Yokohama city is represented.