ASPSO-Optimized RBF-IITSMC for High-Precision Trajectory Tracking of 6-DOF Robotic Arms Under Uncertainties

To address high-precision trajectory tracking challenges in multi-joint robots facing model uncertainties, complex friction, and abrupt disturbances, this paper proposes a radial basis function (RBF) neural network-improved integral terminal sliding mode control scheme optimized by state-aware adaptive particle swarm optimization (ASPSO), denoted as ASPSO-optimized RBF-IITSMC. First, a fractional-memory integral terminal sliding surface incorporating a boundary-layer saturation mapping is constructed. The proposed terminal mapping is shown to be globally Lipschitz continuous, and an explicit approximation-error bound relative to the conventional terminal power mapping is established. Second, an RBF neural compensator driven by the sliding variable is incorporated into the reconstructed sliding dynamics to estimate lumped uncertainties and reduce the compensation burden on the robust feedback term. Furthermore, a state-aware adaptive PSO variant combining population-diversity monitoring and differential mutation is developed to jointly tune the 15-dimensional controller parameter vector. The practical finite-time reachability of the sliding variable and the uniform ultimate boundedness of the sliding variable and neural-weight estimation error are analyzed using a Lyapunov framework. Simulation results on a six-degree-of-freedom (6-DOF) robotic arm demonstrate improved tracking accuracy and disturbance-rejection performance, together with reduced high-frequency torque oscillations, compared with the evaluated baseline controllers.

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Publication Details

Journal
Mathematics
Published
2026-08-03
DOI
https://doi.org/10.3390/math14152757
Primary Topic
Adaptive Control of Nonlinear Systems
Type
article
Field-Weighted Citation Impact
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article

ASPSO-Optimized RBF-IITSMC for High-Precision Trajectory Tracking of 6-DOF Robotic Arms Under Uncertainties

Duanyuan Bai, Qiyue Yuan, Wenbin Xie, Kaichao Yang et al.
Mathematics
Adaptive Control of Nonlinear Systems
article

ASPSO-Optimized RBF-IITSMC for High-Precision Trajectory Tracking of 6-DOF Robotic Arms Under Uncertainties

Duanyuan Bai, Qiyue Yuan, Wenbin Xie, Kaichao Yang, Guanyu Rong
article en

Abstract

To address high-precision trajectory tracking challenges in multi-joint robots facing model uncertainties, complex friction, and abrupt disturbances, this paper proposes a radial basis function (RBF) neural network-improved integral terminal sliding mode control scheme optimized by state-aware adaptive particle swarm optimization (ASPSO), denoted as ASPSO-optimized RBF-IITSMC. First, a fractional-memory integral terminal sliding surface incorporating a boundary-layer saturation mapping is constructed. The proposed terminal mapping is shown to be globally Lipschitz continuous, and an explicit approximation-error bound relative to the conventional terminal power mapping is established. Second, an RBF neural compensator driven by the sliding variable is incorporated into the reconstructed sliding dynamics to estimate lumped uncertainties and reduce the compensation burden on the robust feedback term. Furthermore, a state-aware adaptive PSO variant combining population-diversity monitoring and differential mutation is developed to jointly tune the 15-dimensional controller parameter vector. The practical finite-time reachability of the sliding variable and the uniform ultimate boundedness of the sliding variable and neural-weight estimation error are analyzed using a Lyapunov framework. Simulation results on a six-degree-of-freedom (6-DOF) robotic arm demonstrate improved tracking accuracy and disturbance-rejection performance, together with reduced high-frequency torque oscillations, compared with the evaluated baseline controllers.

MathematicsVol. 14(15)
Changchun University of Science and Technology (CN)
Peace, Justice and strong institutions
Openalex Percentile: Top 11%
Adaptive Control of Nonlinear Systems
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ASPSO-Optimized RBF-IITSMC for High-Precision Trajectory Tracking of 6-DOF Robotic Arms Under Uncertainties — Duanyuan Bai, Qiyue Yuan, et al. · Mathematics (2026) | TGRS Research Map | TGRS