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Adaptive Fuzzy Velocity Field Control for Navigation of Nonholonomic Mobile Robots

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Abstract

This paper presents a novel contour tracking scheme based on a well-posed kinematic representation of differential-driven nonholonomic mobile robots. Firstly, a fuzzy aggregation of spatial sets in cluttered environments allows designing a velocity field to encode the desired velocity vector pointing to the target (the contour). Thus, the resultant smooth trajectory avoids obstacles by combining spatially distributed velocity fields that enable the robot navigation. Finally, the universal approximation property of fuzzy systems facilitates the design of an adaptive PI-like controller, whose closed-loop stability leads to the precise tracking of the velocity field. The results of the performed numerical simulations illustrate the reliability of the proposed scheme.

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Funding

The present research received no specific grant from any funding agency.

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Authors and Affiliations

  1. Department of Multidisciplinary Engineering, Texas A&M University, Higher Education Center at McAllen, McAllen, TX, 78504, USA

    Aldo Jonathan Muñoz-Vázquez

  2. Department of Robotics and Advanced Manufacturing, Research Center for Advanced Studies (Cinvestav), Saltillo, Coah, 25900, Mexico

    Vicente Parra-Vega & Anand Sánchez-Orta

  3. Department of Mathematics and Physics, ITESO University, Tlaquepaque, Jal, 45604, Mexico

    Juan Diego Sánchez-Torres

Authors
  1. Aldo Jonathan Muñoz-Vázquez
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  2. Vicente Parra-Vega
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  3. Anand Sánchez-Orta
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  4. Juan Diego Sánchez-Torres
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Contributions

A.J. Munõz-Vázquez: Writing the original draft, editing and reviewing, investigation, simulation programming, formal analysis, methodology, conceptualization, and supervision. V. Parra-Vega: Writing the original draft, editing and reviewing, investigation, formal analysis, methodology, conceptualization, and supervision. A. Sánchez-Orta: Writing the original draft, editing and reviewing, investigation, formal analysis, methodology, and conceptualization. J.D. Sánchez-Torres: Editing and reviewing, investigation, formal analysis, and conceptualization.

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Correspondence to Aldo Jonathan Muñoz-Vázquez.

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Muñoz-Vázquez, A.J., Parra-Vega, V., Sánchez-Orta, A. et al. Adaptive Fuzzy Velocity Field Control for Navigation of Nonholonomic Mobile Robots. J Intell Robot Syst 101, 38 (2021). https://doi.org/10.1007/s10846-020-01306-w

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