Open AccessLeader‐following consensus of second‐order multi‐agent systems with arbitrarily appointed‐time prescribed performance
Author(s) -
Wei Caisheng,
Luo Jianjun,
Yin Zeyang,
Yuan Jianping
Publication year - 2018
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2018.5158
Subject(s) - control theory (sociology) , overshoot (microwave communication) , computer science , protocol (science) , convergence (economics) , controller (irrigation) , multi agent system , transient (computer programming) , state (computer science) , a priori and a posteriori , stability (learning theory) , control (management) , algorithm , artificial intelligence , medicine , telecommunications , philosophy , alternative medicine , epistemology , pathology , machine learning , agronomy , economics , biology , economic growth , operating system
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.