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- Title
Consensus Tracking of Fractional-Order Multiagent Systems via Fractional-Order Iterative Learning Control.
- Authors
Lv, Shuaishuai; Pan, Mian; Li, Xungen; Ma, Qi; Lan, Tianyi; Li, Bingqiang; Cai, Wenyu
- Abstract
In this work, the consensus problem of fractional-order multiagent systems with the general linear model of fixed topology is studied. Both distributed P D α -type and D α -type fractional-order iterative learning control (FOILC) algorithms are proposed. Here, a virtual leader is introduced to generate the desired trajectory, fixed communication topology is considered, and only a subset of followers can access the desired trajectory. The convergence conditions are proved using graph theory, fractional calculus, and λ norm theory. The theoretical analysis shows that the output of each agent completely tracks the expected trajectory in a limited time as the iteration number increases for both P D α -type and D α -type FOILC algorithms. Extensive numerical simulations are given to demonstrate the feasibility and effectiveness.
- Subjects
MULTIAGENT systems; ITERATIVE learning control; GRAPH theory; FRACTIONAL calculus; LINEAR systems; TOPOLOGY; ALGEBRAIC topology
- Publication
Complexity, 2019, p1
- ISSN
1076-2787
- Publication type
Article
- DOI
10.1155/2019/2192168