Consensus tracking problem for linear fractional multi-agent systems with initial state error
Articles
Dahui Luo
Guizhou University
JingRong Wang
Guizhou University
https://orcid.org/0000-0002-6642-1946
Dong Shen
Renmin University of China
https://orcid.org/0000-0003-1063-1351
Published 2020-09-01
https://doi.org/10.15388/namc.2020.25.18128
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Keywords

fractional-order, homogenous and heterogenous multi-agent systems
initial state error
convergence

How to Cite

Luo D., Wang J. and Shen D. (2020) “Consensus tracking problem for linear fractional multi-agent systems with initial state error”, Nonlinear Analysis: Modelling and Control, 25(5), pp. 766–785. doi: 10.15388/namc.2020.25.18128.

Abstract

In this paper, we discuss the consensus tracking problem by introducing two iterative learning control (ILC) protocols (namely, Dα-type and PDα-type) with initial state error for fractional-order homogenous and heterogenous multi-agent systems (MASs), respectively. The initial state of each agent is fixed at the same position away from the desired one for iterations. For both homogenous and heterogenous MASs, the Dα-type ILC rule is first designed and analyzed, and the asymptotical convergence property is carefully derived. Then, an additional P-type component is added to formulate a PDα-type ILC rule, which also guarantees the asymptotical consensus performance. Moreover, it turns out that the PDα-type ILC rule can further adjust the final performance. Two numerical examples are provided to verify the theoretical results.

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