Robust Augmented Computed Torque Control for Enhanced Tracking of 6-DoF Manipulators Under External Disturbances

This paper presents an augmented computed—torque control (A-CTC) scheme for 6-DoF industrial manipulators operating under model uncertainty and external disturbances. The proposed controller combines a nominal computed torque law with an additional torque-domain residual damping term to compensate for modeling errors and unmodeled friction while preserving the baseline tracking structure. A Lyapunov-based analysis is developed for the resulting closed-loop system, and bounded output constraints are imposed on the residual term to support input-to-state stability and bounded tracking errors. The method is evaluated in simulation against PD feedforward (PD-ff) and sliding mode control (SMC) over multiple trajectories and disturbance scenarios. Across 30 randomized trials, A-CTC reduces joint-space RMSE by approximately 12.8%, end-effector RMSE by 13.0%, and disturbance-settling time by 32.4% compared with PD-ff, while increasing RMS torque by only 4.5%. Compared with SMC, A-CTC achieves lower joint-space and end-effector RMSE by 7.4% and 4.1%, respectively, while reducing RMS torque by 40.0% and saturation time by 54.5%. Additional simulation studies, including gain-sensitivity analysis, Jacobian conditioning assessment, and impulse response tests, further support a favorable accuracy–effort trade-off and improved disturbance rejection. The present results are based on simulation and will be validated experimentally in future work.

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Publication Details

Journal
Applied Sciences
Published
2026-05-18
DOI
https://doi.org/10.3390/app16105036
Primary Topic
Adaptive Control of Nonlinear Systems
Type
article
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article

Robust Augmented Computed Torque Control for Enhanced Tracking of 6-DoF Manipulators Under External Disturbances

Applied Sciences
Adaptive Control of Nonlinear Systems
article

Robust Augmented Computed Torque Control for Enhanced Tracking of 6-DoF Manipulators Under External Disturbances

article en

Abstract

This paper presents an augmented computed—torque control (A-CTC) scheme for 6-DoF industrial manipulators operating under model uncertainty and external disturbances. The proposed controller combines a nominal computed torque law with an additional torque-domain residual damping term to compensate for modeling errors and unmodeled friction while preserving the baseline tracking structure. A Lyapunov-based analysis is developed for the resulting closed-loop system, and bounded output constraints are imposed on the residual term to support input-to-state stability and bounded tracking errors. The method is evaluated in simulation against PD feedforward (PD-ff) and sliding mode control (SMC) over multiple trajectories and disturbance scenarios. Across 30 randomized trials, A-CTC reduces joint-space RMSE by approximately 12.8%, end-effector RMSE by 13.0%, and disturbance-settling time by 32.4% compared with PD-ff, while increasing RMS torque by only 4.5%. Compared with SMC, A-CTC achieves lower joint-space and end-effector RMSE by 7.4% and 4.1%, respectively, while reducing RMS torque by 40.0% and saturation time by 54.5%. Additional simulation studies, including gain-sensitivity analysis, Jacobian conditioning assessment, and impulse response tests, further support a favorable accuracy–effort trade-off and improved disturbance rejection. The present results are based on simulation and will be validated experimentally in future work.

Applied SciencesVol. 16(10)
Hung Yen University of Technology and Education (VN), Sejong University (KR)
Openalex Percentile: Top 5%
Adaptive Control of Nonlinear Systems
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