Prescribed-Time Backstepping Algorithms for Leader-Follower Multi-Agent Systems

The robust prescribed-time algorithms for nonlinear high-order systems and leader-follower systems are investigated with the help of backstepping approach. Firstly, for nonlinear high-order systems, the states can converge to zero within a prescribed time by designing virtual input in each step. Secondly, for leader-follower systems, new error function is defined to achieved consensus among followers and to ensure that follower’s states are identical to leader’s states within the prescribed time that has been arbitrarily set. In addition, the proposed algorithms all have disturbance rejection ability. To show that the suggested algorithms are effective, two numerical simulations are utilised in the end.