The invention relates to the field of intelligent
robot control, in particular to a multi-mobile-
robot system formation
trajectory analysis method based on a U-K theory, and the method comprises the steps: S1, building a dynamic model of a single
mobile robot through employing a Newton-
Euler method; s2, establishing a communication
topological graph among the mobile robots, wherein the given communication
topological graph is a directed weighted graph with a directed
spanning tree; s3, an expected formation control target is rewritten into a constraint equation form, and
servo control force needed by the
mobile robot system under incomplete constraint to complete the expected formation control target is obtained in combination with a U-K equation; and S4, substituting the obtained
servo control force into the dynamic model of the
mobile robot, and deducing the formation track of the multi-
mobile robot system under the condition of no leader. The method analyzes and verifies that the motion trail of the multi-mobile-
robot system after formation control has three possible conditions, namely stabilization to one point,
linear motion and
circular motion, under the condition of no leader.