2024 : 4 : 17
Khosro Khandani

Khosro Khandani

Academic rank: Associate Professor
ORCID: https://orcid.org/0000000217623541
Education: PhD.
ScopusId: 35753283400
Faculty: Engineering
Address: Arak University
Phone: 086-32625324

Research

Title
Fixed-time sliding-mode distributed consensus and formation control of disturbed fractional-order multi-agent systems
Type
JournalPaper
Keywords
Fixed-time convergence Fractional-order multi agent systems Sliding-mode Virtual leader
Year
2023
Journal ISA Transactions
DOI
Researchers Hossein Zamani ، Khosro Khandani ، vahid Johari Majd

Abstract

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.