Leader‐following consensus of second‐order multi‐agent systems with arbitrarily appointed‐time prescribed performance
Caisheng Wei, Jianjun Luo, Zeyang Yin, Jianping Yuan · IET Control Theory and Applications · 2018
In this brief, a novel leader‐following appointed‐time consensus control protocol is investigated for second‐order multi‐agent systems on a directed graph from the prescribed performance perspective. Through developing a new state‐independent performance function, the practically fixed‐time stability or expected appointed‐time tracking accuracy of the leader‐following network systems can be achieved, wherein, the state‐independent setting time can be arbitrarily specified a priori. Compared with the existing works, the primary advantage of the proposed control protocol is that no fractional power state feedback is used and the transient behaviours including the appointed‐time convergence rate, overshoot and undershoot can be synthesised simultaneously. Moreover, the excellent disturbance suppression capacity can be achieved just through adjusting a few parameters involved in the newly developed performance controller. Finally, two groups of illustrative examples are employed to validate the effectiveness of the proposed control protocol.