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Abstract
This paper presents numerical tests on the optimal control of vertical displacement of a building, in which the differential settlement exists, by using cylindrical rubber jacks of a new control device. Each cylindrical rubber jack can expand in the ground and jack the building up. The water is injected into the cylindrical rubber and then it expands. The water can be optimally supplied into each cylindrical rubber and then the modification control of the building can be performed. Each control water discharge is determined by the optimal control theory. The performance function on the optimal control is investigated and set as suitable for the modification control problem of the differential settlement. The Sakawa–Shindo method is applied for the minimization of the performance function. The modification problem of the differential settlement by the cylindrical rubber jacks is assumed to be the interaction problem through the soil, cylindrical rubber and the water. The mathematical models set for the components are formulated by conventional FEM.