Consensus Tracking of Fractional-Order Multiagent Systems via Fractional-Order Iterative Learning Control. (28th November 2019)

• Record Type: Journal Article
• Authors: Lv, Shuaishuai; Pan, Mian; Li, Xungen; Ma, Qi; Lan, Tianyi; Li, Bingqiang; Cai, Wenyu
• Other Names: Mrugalski Marcin Academic Editor.
• Is Part Of: Complexity. Volume 2019(2019)
• Publication Date: 2019-11-28
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2019/2192168
• Languages: English
• ISSNs: 1076-2787

Abstract

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.