In order to control the speed v and acceleration a of a follower robot in a multi robot cooperative system, the input speed and acceleration of the robot do not exceed its rated value vmand am. And a limited speed and acceleration leader-followers formation control algorithm is designed, this algorithm designed a two-order filter to be used as the two feedback signal and the feedback controller. The signal and its derivative is limited by the parameters of the two filters. It is proved by Lyapunov theory th...