Fixed-Time Containment Tracking Control of Fractional-Order Multi-Vehicle Systems with Multiple Leaders: SMC approach

Document Type : Research Article

Authors

1 The School of Electrical and Computer Engineering, Tarbiat Modares University, Tehran, Iran

2 The Department of Electrical Engineering, Faculty of Engineering, Arak University, Arak, Iran

Abstract

This paper addresses sliding mode control (SMC) design for disturbed fractional-order multi-vehicle networks in order to achieve containment tracking within a certain settling time. The multi-leader case is investigated where the aim of the containment protocol design is that the states of the fractional-order followers eventually are placed inside a convex hull made by the states of the leaders. The convergence rate is designed such that achieving the containment tracking occurs in a fixed-time manner. Unlike the previous works on finite-time containment control protocols of multi-agent systems, here, we offer a tractable design as the upper limit of the settling time of the convergence is achieved independent of the preliminary conditions of the vehicles' states. A novel SMC approach is proposed which enables the multi-vehicle network to reach the containment tracking at presence of the external disturbances. The numerical simulations reveal the correctness and effectiveness of the proposed theoretical approaches.

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Main Subjects

International Journal of Research and Technology in Electrical Industry
Volume 4, Issue 1
Issue in Progress
2025
Pages 499-508

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History

  • Receive Date: 15 February 2025
  • Revise Date: 24 April 2025
  • Accept Date: 17 May 2025
  • Publish Date: 01 January 2025

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