Cluster consensus of fractional-order non-linear multi-agent systems with switching topology and time-delays via impulsive control

Abstract

In this paper, a cluster consensus problem for fractional-order nonlinear multi-agent systems with fixed and switching topologies and time delays is considered. The problem is solved in three cases: (i) fixed topology and time delays, (ii) switching topology, and (iii) switching topology and time delays. Cluster consensus is achieved for fractional-order multi-agent systems by using the impulsive control method. Cluster consensus algorithms are studied by using Mittag–Leffler stability and the fractional Lyapunov direct method and some sufficient conditions are obtained to achieve cluster consensus of fractional-order multi-agent systems with nonlinear dynamics under switching topologies and time delays. Finally, simulation results are presented to show the validity of the proposed control strategies.

KEYWORDS:

• Cluster consensus
• fractional-order nonlinear multi-agent systems
• switching topology
• time delay
• impulsive control

Disclosure statement

No potential conflict of interest was reported by the author(s).

ORCID

Zahra Yaghoubi http://orcid.org/0000-0001-7262-4611

Additional information

Notes on contributors

Zahra Yaghoubi

Zahra Yaghoubi received B.S degree in Electrical Engineering from Imam Khomeini International university, Qazvin, Iran, in 2010, and she got her M.S degree in Electrical Engineering in Imam Khomeini International university, Qazvin, Iran. She received PhD in Electrical Engineering Amirkabir university, Tehran, Iran. Her research interest includes nonlinear control, multi agent control, robotic and adaptive control.

Heidar Ali Talebi

Heidar Ali Talebi received B.S degree in Electrical Engineering from Mashhad university and M.S degree from Tarbiat Modarres university and PhD from Concordia university, Canada. Now he is full professor in Amirkabir university, Thran, Iran.