MOBILE APPARATUS AND ROBOT, AND CONTROL SYSTEM THEREOF

Provided is a system and the like capable of appropriately searching a desired trajectory for a controlled subject in a time-space coordinate system in view of a state of the controlled subject. An initial positional relationship (k=1) between a first reference point q1(k) and a second reference point q2(k) in the time-space coordinate system is set to satisfy a first condition defined according to a motion performance of an actuator 2. When a previous trajectory candidate tr(k−1) is determined to have a contact with an object trajectory tro, a current positional relationship (k>1) between the first reference point q1(k) and the second reference point q2(k) in the time-space coordinate system is set to satisfy a second condition that a current time interval between the first reference point q1(k) and the second reference point q2(k) is longer than a previous time interval or the like.