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15 February 2026

An RBF-L1-WBC Approach for Bipedal Wheeled Robots

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1
School of Electromechanical Engineering, Guangdong University of Technology, Guangzhou 510006, China
2
Advanced Technology Department, Guangzhou Automobile Group Co., Ltd., Guangzhou 510000, China
3
School of Mechanical and Electrical Engineering, Guangzhou University, Guangzhou 510006, China
4
School of Mechanical and Automotive Engineering, South China University of Technology, Guangzhou 510640, China

Abstract

Bipedal wheeled robots combine the advantages of wheeled mobility and legged agility, enabling high-speed locomotion and obstacle negotiation in complex environments. However, their dynamic behavior is inherently unstable and highly coupled, making robust control particularly challenging in the presence of task conflicts, external disturbances, and modeling uncertainties. This paper proposes an RBF–L1–WBC framework that integrates L1 adaptive control to compensate for model inaccuracies and disturbances, radial basis function (RBF) neural networks to approximate nonlinear variations in linear quadratic regulator (LQR) gains, and whole-body control (WBC) to coordinate multiple tasks while mitigating control conflicts. Experimental findings confirm that the proposed methodology yields statistically significant improvements in both attitude regulation precision and velocity tracking accuracy, surpassing the performance of benchmark controllers including classical LQR, adaptive LQR, and classical Virtual Model Control (VMC).

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