Title
Iterative learning control for fractional-order multi-agent systems.
Abstract
In this paper, we apply iterative learning control to both linear and nonlinear fractional-order multi-agent systems to solve consensus tacking problem. Both fixed and iteration-varying communicating graphs are addressed in this paper. For linear systems, a PDα-type update law with initial state learning mechanism is introduced by virtue of the memory property of fractional-order derivative. For nonlinear systems, a Dα-type update law with forgetting factor and initial state learning is designed. Sufficient conditions for both linear and nonlinear systems are established to guarantee all agents achieving the asymptotic output consensus. Simulation examples are provided to verify the proposed schemes.
Year
DOI
Venue
2019
10.1016/j.jfranklin.2019.06.001
Journal of the Franklin Institute
Field
DocType
Volume
Tacking,Graph,Forgetting factor,Mathematical optimization,Nonlinear system,Linear system,Control theory,Multi-agent system,Iterative learning control,Mathematics
Journal
356
Issue
ISSN
Citations 
12
0016-0032
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Dahui Luo100.34
Jinrong Wang226538.75
Dong Shen315517.64
Michal Feckan49210.98