Consensus Tracking of Fractional-Order Multiagent Systems via Fractional-Order Iterative Learning Control

Shuaishuai Lv, Mian Pan, Xungen Li, Qi Ma, Tianyi Lan, Bingqiang Li and Wenyu Cai

Complexity, 2019, vol. 2019, 1-11

Abstract:

In this work, the consensus problem of fractional-order multiagent systems with the general linear model of fixed topology is studied. Both distributed - type and - 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 - type and - type FOILC algorithms. Extensive numerical simulations are given to demonstrate the feasibility and effectiveness.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:2192168

DOI: 10.1155/2019/2192168

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