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Article

Trajectory Tracking Control of a Six-Axis Robotic Manipulator Based on an Extended Kalman Filter-Based State Observer

School of Mechanical Engineering, Xinjiang University, Urumqi 830047, China
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Author to whom correspondence should be addressed.
Machines 2026, 14(1), 78; https://doi.org/10.3390/machines14010078
Submission received: 8 December 2025 / Revised: 31 December 2025 / Accepted: 4 January 2026 / Published: 8 January 2026
(This article belongs to the Special Issue Sensing to Cognition: The Evolution of Robotic Vision)

Abstract

To achieve high-precision trajectory tracking for multi-joint robotic manipulators in the presence of model uncertainties, external disturbances, and strong coupling effects, this paper proposes a nonsingular fast terminal sliding mode control (NFTSMC) scheme incorporating an extended Kalman filter-based disturbance observer. First, the Kalman filter is combined with an extended state observer to perform the real-time observation of both internal and external disturbances in the system, accurately estimating system uncertainty and external disturbances. This approach reduces noise interference while significantly improving the correction accuracy of position and tracking errors. Second, an improved nonsingular fast terminal sliding mode controller with an optimized convergence law is introduced to ensure stability during the tracking process, effectively mitigate oscillation phenomena, and accelerate the system’s convergence speed. Finally, the convergence of the proposed method is analyzed by constructing an appropriate Lyapunov function. Simulation and experimental results strongly validate the superior performance of the proposed control strategy, demonstrating that the system can achieve high-precision trajectory tracking under the complex coupled effects of a six-axis robotic manipulator, and exhibits significant advantages in terms of accuracy and robustness.
Keywords: robotic manipulator; non-singular fast terminal sliding mode control; extended state observer; kalman filter; trajectory tracking robotic manipulator; non-singular fast terminal sliding mode control; extended state observer; kalman filter; trajectory tracking

Share and Cite

MDPI and ACS Style

Liu, J.; Chen, T.; Dou, Z.; Li, X.; Zou, X. Trajectory Tracking Control of a Six-Axis Robotic Manipulator Based on an Extended Kalman Filter-Based State Observer. Machines 2026, 14, 78. https://doi.org/10.3390/machines14010078

AMA Style

Liu J, Chen T, Dou Z, Li X, Zou X. Trajectory Tracking Control of a Six-Axis Robotic Manipulator Based on an Extended Kalman Filter-Based State Observer. Machines. 2026; 14(1):78. https://doi.org/10.3390/machines14010078

Chicago/Turabian Style

Liu, Jianxuan, Tao Chen, Zhen Dou, Xiaojuan Li, and Xiangjun Zou. 2026. "Trajectory Tracking Control of a Six-Axis Robotic Manipulator Based on an Extended Kalman Filter-Based State Observer" Machines 14, no. 1: 78. https://doi.org/10.3390/machines14010078

APA Style

Liu, J., Chen, T., Dou, Z., Li, X., & Zou, X. (2026). Trajectory Tracking Control of a Six-Axis Robotic Manipulator Based on an Extended Kalman Filter-Based State Observer. Machines, 14(1), 78. https://doi.org/10.3390/machines14010078

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