A control device includes: a first generator generating a first command position of a control object on a plane in each control cycle based on a target trajectory; a first control part generating a first operation amount by model predictive control using a first dynamic characteristic model and the first command position; a second generator generating a second command position of the control object on an orthogonal axis in each control cycle; and a second control part generating a second operation amount by model predictive control using a second dynamic characteristic model and the second command position. Based on shape data indicating a surface shape of an object and the first command position, the second generator generates the second command position so that a distance between the control object and a surface of the object is constant.