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Fixed-time Sliding-mode Distributed Consensus and Formation Control of Disturbed Fractional-order Multi-agent Systems by Hossein Zamani; Khosro Khandani; Vahid Johari Majd is a Engineering article available to read on EtoBox.

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## a b s t r a c t In this paper, fixed-time consensus and formation control for fractional-order multi-agent systems with a dynamic virtual leader in the presence of external disturbances is investigated. Consensus is achieved in fixed-time, i.e., with a finite settling time whose upper bound is independent of the initial conditions of the agents' states. A new distributed sliding-mode control with neighborhood-based error variable is proposed to track a virtual leader in order to achieve a desired consensus in the presence of disturbances. Furthermore, the fractional Lyapunov stability theorem has been employed to prove the fixed-time stability and to estimate the upper bound of convergence. The formation of agents has also been investigated for the agents of fractional-order. Finally, several numerical simulations are provided to determine the effectiveness of the design method.

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Author

Hossein Zamani; Khosro Khandani; Vahid Johari Majd

Publisher

Elsevier BV

Published

2023

Language

EN

Field

Engineering (Physical Sciences)