Premium
Learning formation control for fractional‐order multiagent systems
Author(s) -
Luo Dahui,
Wang JinRong,
Shen Dong
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4948
Subject(s) - iterative learning control , multi agent system , type (biology) , mathematics , order (exchange) , control (management) , control theory (sociology) , mathematical optimization , topology (electrical circuits) , computer science , artificial intelligence , combinatorics , ecology , finance , economics , biology
In this paper, we use 2 iterative learning control schemes ( P ‐type and P I ‐type) with an initial learning rule to achieve the formation control of linear fractional‐order multiagent systems. To realize the finite‐time consensus, we assume repeatable operation environments as well as a fixed but directed communication topology for the fractional‐order multiagent systems. Both P ‐type and P I ‐type update laws are applied to generate the control commands for each agent. It is strictly proved that all agents are driven to achieve an asymptotical consensus as the iteration number increases. Two examples are simulated to verify the effectiveness of the proposed algorithms.