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Iterative learning consensus control for multi-agent systems with fractional order distributed parameter models

Yong-Hong Lan*, Jun-Jun Xia, Ya-Ping Xia, Peng Li, Yue-Xiang Shiy
International Journal of Control, Automation, and Systems, vol. 17, no. 11, pp.2839-2849, 2019

Abstract : This paper concerns about the iterative learning consensus control scheme for a class of multi-agent systems (MAS) with distributed parameter models. First, based on the framework of network topologies, a secondorder iterative learning control (ILC) protocol is proposed by using the nearest neighbor knowledge. Next, a discrete system for ILC is established and the consensus control problem is then converted to a stability problem for such a discrete system. Furthermore, by using generalized Gronwall inequality, a sufficient condition for the convergence of the consensus errors between any two agents is obtained. Finally, the validity of the proposed method is verified by two numerical examples.

Keyword : Distributed parameter system, fractional order, iterative learning control, multi-agent systems.

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