The invention discloses an
orbit expansion based multi-
robot tracing formulation control method, comprising the following steps of: a) for a group of target
orbit in a plane, expanding vectors of the target
orbit, which point to each point on the orbit along the center of the target orbit, into an orbital cluster equivalent to an orbital function, and determining the movable range of robots; b) calculating tracing error by virtue of the orbital function, and designing the virtual
angular velocity of the robots to ensure the tracing error to meet design requirements; c) calculating the generalized
arc length and
differential coefficient of the generalized
arc length when the robots move along the orbit, by virtue of the orbital function and the target orbit, and designing the
control force of the robots by virtue of neighbor information obtained by communication to realize formulation; d) calculating the error between the real
angular velocity and the virtual
angular velocity, and designing the control moment of force of the
robot to complete tracing; and e) completing
motion control on the robots by virtue of a
servo system. The orbit expansion based multi-
robot tracing formulation control method disclosed by the invention is especially applicable to nonholonomic constraint dynamic robots and simple and convexly- closed orbits. The method is simple and reliable, has higher accuracy and can be applied to multi-robot optimized
information acquisition and the like.