When the liquid container is rapidly transferred, the sloshing (liquid vibration) is caused. Thus, transfer motion for conventional speed control by making speed slow spends a lot of transfer time and makes the tact time delay. Therefore, in this research, optimum sloshing suppression control of liquid with high-speed transfer is proposed. In order to express the sloshing, mathematical model comprised of the continuous equation and the pressure equation is used, and the sloshing phenomena are analyzed by using Boundary Element Method (BEM). Further, BEM model is transferred into the state-variable model. The state-variable model has nice characteristics such that control design is easier. In this research, a rectangular container is used. Then, liquid surface is expressed by the curve line when a container is transferred in a single direction. This curve line is divided into a number of evaluation points by using BEM. The effectiveness of proposed liquid surface model is shown by comparing with CFD (computational fluid dynamics) simulation and experiments with liquid container transfer. The proposed model can estimate not only first-order mode sloshing but also higher-order mode sloshing, and predict the future behavior of liquid level more exactly.
In order to suppress the sloshing, Generalized Predictive Control (GPC) is used. GPC is one the most popular MPC method in industry. Firstly, the behavior of liquid surface is predicted about specified predictive region. Then, the acceleration input of container transfer is calculated such that the predicted value approaches zero. Therefore, a liquid is transferred without sloshing.
As experiment results by using the liquid transferring robot, sloshing is completely suppressed, and the liquid transfer with proposed control method is reached to a goal earlier than that by the previous control method. Therefore, the transfer time is shortened and the proposed liquid transfer control is effective to improve casting productivity.
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