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Article

An Online Correction Method for System Errors in the Pipe Jacking Inertial Guidance System

State Key Laboratory of Deep Earth Exploration and Imaging, School of Engineering and Technology, China University of Geosciences, Beijing 100083, China
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Author to whom correspondence should be addressed.
Mathematics 2025, 13(17), 2764; https://doi.org/10.3390/math13172764
Submission received: 27 July 2025 / Revised: 20 August 2025 / Accepted: 23 August 2025 / Published: 28 August 2025
(This article belongs to the Section E: Applied Mathematics)

Abstract

The pipe-jacking inertial guidance method is a key technology to solve the guidance problems of complex pipe-jacking projects, such as long distances and curves. However, since its guidance information is obtained by gyroscope integration. System errors will accumulate over time and affect the guidance accuracy. To address the above issues, this study proposes an intelligent online system error correction scheme based on single-axis rotation and data backtracking. The method enhances system observability by actively exciting the sensor states and introducing data reuse technology. Then, a Bayesian optimization algorithm is incorporated to construct a multi-objective function. The algorithm autonomously searches for the optimal values of three key control parameters, thereby constructing an optimal correction strategy. The results show that the inclination accuracy improving by 99.36%. The tool face accuracy improving by 94.05%. The azimuth accuracy improving by 94.42% improvement. By comparing different correction schemes, the proposed method shows better performance in estimating gyro bias. In summary, the proposed method uses single-axis rotation and data backtracking, and can correct system errors in inertial navigation effectively. It has better value for engineering and provides a technical foundation for high-accuracy navigation in tunnel, pipe-jacking, and other complex tasks with low-cost inertial systems.
Keywords: pipe-jacking inertial navigation system; data backtracking; single-axis rotation; Bayesian optimization algorithm; observability analysis pipe-jacking inertial navigation system; data backtracking; single-axis rotation; Bayesian optimization algorithm; observability analysis

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MDPI and ACS Style

Zu, Y.; Wang, L.; Zhou, Z.; Gong, D.; Hu, Y.; Yang, G. An Online Correction Method for System Errors in the Pipe Jacking Inertial Guidance System. Mathematics 2025, 13, 2764. https://doi.org/10.3390/math13172764

AMA Style

Zu Y, Wang L, Zhou Z, Gong D, Hu Y, Yang G. An Online Correction Method for System Errors in the Pipe Jacking Inertial Guidance System. Mathematics. 2025; 13(17):2764. https://doi.org/10.3390/math13172764

Chicago/Turabian Style

Zu, Yutong, Lu Wang, Zheng Zhou, Da Gong, Yuanbiao Hu, and Gansheng Yang. 2025. "An Online Correction Method for System Errors in the Pipe Jacking Inertial Guidance System" Mathematics 13, no. 17: 2764. https://doi.org/10.3390/math13172764

APA Style

Zu, Y., Wang, L., Zhou, Z., Gong, D., Hu, Y., & Yang, G. (2025). An Online Correction Method for System Errors in the Pipe Jacking Inertial Guidance System. Mathematics, 13(17), 2764. https://doi.org/10.3390/math13172764

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