Different types of sliding mode controller for nonlinear fractional multi-Agent system

Amin Sharafian, Alireza Sharifi and Weidong Zhang

Chaos, Solitons & Fractals, 2020, vol. 131, issue C

Abstract: In this article, five particular types of sliding surfaces are presented to overcome consensus tracking problem for a class of nonlinear fractional multi-agent systems. Meanwhile, the sliding mode controller is suggested due to the presence of external disturbances in the follower agents dynamic models, the robust disturbance rejection control input can stabilize the consensus error dynamic of the fractional multi-agent system. Hence, both integer and fractional-order sliding surfaces are applied to increase the accuracy and convergence speed. The stabilities of various sliding surfaces are proved based on Lyapunov direct strategy and also Mittag-Leffler stability for fractional derivations. In this note it is assumed that the exact knowledge of the leader-follower dynamic, upper bound of smooth disturbance, full state access, and delay free communication among agents are available. In order to show the sliding motion accrues in finite time, upper bounds for reaching times of sliding surfaces are obtained. Moreover, based on the principle of dynamic memory resetting of fractional operators it is forced an invariant finite time sliding mode. Ultimately, the simulation results on the Arneodo chaotic system shows the capability of the proposed method.

Keywords: Fractional; Multi-agent; Consensus; Sliding mode (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077919304278
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:131:y:2020:i:c:s0960077919304278

DOI: 10.1016/j.chaos.2019.109481

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().