Fixed-Time Consensus of Fractional-Order Single Integrator Multi-Agent Systems

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ZAMANI HOSSEIN; JOHARI MAJD VAHID; KHANDANI KHOSRO

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Paper Information

Journal: NASHRIYYAH -I MUHANDISI -I BARQ VA MUHANDISI -I KAMPYUTAR -I IRAN, A- MUHANDISI -I BARQ Year:2023 | Volume:21 | Issue:1 Page(s): 24-32

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Title

Fixed-Time Consensus of Fractional-Order Single Integrator Multi-Agent Systems

Author(s)

ZAMANI HOSSEIN | JOHARI MAJD VAHID | KHANDANI KHOSRO | Issue Writer Certificate

Keywords

Fractional-order integrators

multi-agent systems

consensus

fixed-time convergence

Abstract

The problem of consensus in fractional order single-integrator multi-agent systems has been studied in this paper. The effect of memory is considered using the Riemann-Liouville fractional derivative in the dynamics of the agents. In order to achieve convergence among the agents, a fractional order control protocol based on the error signal between neighboring agents is proposed. Using Lyapunov's stability theorem, a Lyapunov function is introduced that shows that the agents converge over a specified settling time and the upper bound of the settling time is obtained. The merit of the proposed bound for the settling time is that it is independent of the initial conditions. Finally, some simulations are provided to confirm the introduced method.

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APA: Copy

ZAMANI, HOSSEIN, JOHARI MAJD, VAHID, & KHANDANI, KHOSRO. (2023). Fixed-Time Consensus of Fractional-Order Single Integrator Multi-Agent Systems. NASHRIYYAH -I MUHANDISI -I BARQ VA MUHANDISI -I KAMPYUTAR -I IRAN, A- MUHANDISI -I BARQ, 21(1 ), 24-32. SID. https://sid.ir/paper/1049155/en

Vancouver: Copy

ZAMANI HOSSEIN, JOHARI MAJD VAHID, KHANDANI KHOSRO. Fixed-Time Consensus of Fractional-Order Single Integrator Multi-Agent Systems. NASHRIYYAH -I MUHANDISI -I BARQ VA MUHANDISI -I KAMPYUTAR -I IRAN, A- MUHANDISI -I BARQ[Internet]. 2023;21(1 ):24-32. Available from: https://sid.ir/paper/1049155/en

IEEE: Copy

HOSSEIN ZAMANI, VAHID JOHARI MAJD, and KHOSRO KHANDANI, “Fixed-Time Consensus of Fractional-Order Single Integrator Multi-Agent Systems,” NASHRIYYAH -I MUHANDISI -I BARQ VA MUHANDISI -I KAMPYUTAR -I IRAN, A- MUHANDISI -I BARQ, vol. 21, no. 1 , pp. 24–32, 2023, [Online]. Available: https://sid.ir/paper/1049155/en

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