Formation tracking of mobile robots based on locally measured relative positions with velocity saturation

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Authors

  • Quoc Van Tran School of Mechanical Engineering, Hanoi University of Science and Technology, Hanoi, Vietnam https://orcid.org/0000-0002-7962-0338
  • Ngoc-Bao Huu Tran School of Mechanical Engineering, Hanoi University of Science and Technology, Hanoi, Vietnam
  • Quang-Hoang Nguyen School of Mechanical Engineering, Hanoi University of Science and Technology, Hanoi, Vietnam https://orcid.org/0000-0003-2525-2856

DOI:

https://doi.org/10.15625/0866-7136/23630

Keywords:

formation maneuvering, input saturation, multiagent systems, mobile robot, nonlinear stability analysis

Abstract

This work addresses the formation tracking of a team of multiple mobile robots subject to nonholonomic constraints and velocity saturation. A leader robot is used that follows a straight line with a constant speed. The other follower robots maintain the formation geometry by regulatingthe desired relative positions to neighboring robots. {The measurement graph of the system is directed and contains a spanning tree rooted at the leader}. Such a task is called formation tracking (or formation maneuvering in some works). The tracking controllers for the follower robots are designed to provide each robot’s reference forward speed and angular rate, \added{with} \replaced{their}{and their} heading angles being estimated based on the robots’ global positions. Asymptotic convergence to the target formation of the system is established. Simulation results and experimental results on formation tracking of mobile robots are provided to support the effectiveness of the proposed controller. A video of the experiment is provided in \url{https://youtu.be/aKNtx02GNHQ}.

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Published

09-06-2026

How to Cite

Tran , Q. V., Tran, N.-B. H., & Nguyen, Q.-H. (2026). Formation tracking of mobile robots based on locally measured relative positions with velocity saturation. Vietnam Journal of Mechanics, 48(2), 161–172. https://doi.org/10.15625/0866-7136/23630

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