A suboptimal model predictive formation control

We investigate the leader-following formation control of mobile robots through the model predictive control (MPC) in this paper. We establish its control stability by adding a terminal state penalty to the cost function and a terminal state region to the optimisation constraints. We also design a terminal state region based on an input-output feedback linearisation controller for the MPC. A suboptimal stable solution is sought to reduce the computational time used in the MPC. Simulations on the control are provided to verify the proposed control strategy.