Iterative learning consensus control with initial state learning for fractional order distributed parameter models multi‐agent systems. (18th June 2021)

• Record Type: Journal Article
• Authors: Lan, Yong‐Hong; Bin, Wu; Zhou, Yong
• Is Part Of: Mathematical methods in the applied sciences. Volume 45:Number 1(2022)
• Page Start: 5
• Page End: 20
• Publication Date: 2021-06-18
• Subjects: distributed parameter system -- fractional order -- iterative learning control -- multi‐agent systems; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.7589
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : This paper considers the consensus control problem of multi‐agent systems (MAS) with distributed parameter models. Based on the framework of network topologies, a second‐order PI‐type iterative learning control (ILC) protocol with initial state learning is proposed by using the nearest neighbor knowledge. A discrete system for proposed 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.