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Prescribed-time control of four-wheel independently driven skid-steering mobile robots with prescribed performance

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Abstract

This paper investigates the trajectory tracking control problem of a four-wheel independently driven skid-steering mobile robot (FWID-SSMR) while considering friction resistance, parameter variation and external disturbances. Unlike previous studies that only achieved stable tracking control of FWID-SSMR, this paper accomplishes prescribed steady-state and transient performance. Based on the dynamic model of FWID-SSMR, an integer-order prescribed-time controller (IOPTC) is developed first, which can make the tracking errors converge to a predetermined residual set with a preset convergence rate in a prescribed time. Motivated by it, a fractional-order prescribed-time controller (FOPTC) is developed by exploiting the genetic attenuation properties of fractional calculus (FC) for improving the control performance. The feasibility and effectiveness of the developed controller are verified by Lyapunov theoretical analysis and numerical simulation studies. The simulation results show that both the IOPTC and FOPTC outperform the feedback controller (FBC). Moreover, the influence of the performance function on control performance is also tested, which can serve as a reference for selecting the appropriate performance function to use in future applications.

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Funding

This work is supported by the Ministry of Education Research in the Humanities and Social Sciences Planning fund under Grant 22A10004024.

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Authors and Affiliations

  1. School of Electronic and Information Engineering, Beijing Jiaotong University, Beijing, 100044, China

    Meng Ge, Hong-ze Xu & Qi Song

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  1. Meng Ge
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  2. Hong-ze Xu
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  3. Qi Song
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Correspondence to Qi Song.

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Ge, M., Xu, Hz. & Song, Q. Prescribed-time control of four-wheel independently driven skid-steering mobile robots with prescribed performance. Nonlinear Dyn 111, 20991–21005 (2023). https://doi.org/10.1007/s11071-023-08926-5

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