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Article

GRU–Transformer Hybrid Model for GNSS/INS Integration in Orchard Environments

1
College of Electronic Engineering (College of Artificial Intelligence), South China Agricultural University, Guangzhou 510642, China
2
Division of Citrus Machinery, China Agriculture Research System of MOF and MARA, Guangzhou 510642, China
*
Author to whom correspondence should be addressed.
Agriculture 2025, 15(11), 1135; https://doi.org/10.3390/agriculture15111135 (registering DOI)
Submission received: 29 April 2025 / Revised: 22 May 2025 / Accepted: 23 May 2025 / Published: 24 May 2025
(This article belongs to the Special Issue Agricultural Machinery and Technology for Fruit Orchard Management)

Abstract

Precision positioning in orchards relies on Global Navigation Satellite System and Inertial Navigation System (GNSS/INS) integration. However, dense foliage often causes GNSS blockages, degrading accuracy and robustness. This paper proposes an optimized GNSS/INS integrated navigation method based on a hybrid Gated Recurrent Unit (GRU)–Transformer model (GRU-T). The GRU–Transformer hybrid dynamically adjusts the process noise covariance matrix within an error-state Extended Kalman Filter (ES-EKF) framework to address non-stationary noise and signal outages. Forest field tests demonstrate that GRU-T significantly improves positioning accuracy. Compared with the conventional ES-EKF, the proposed method achieves reductions in position root mean square error (PRMSE) of 48.74% (East), 41.94% (North), and 61.59% (Up), and reductions in velocity root mean square error (VRMSE) of 71.5% (East), 39.31% (North), and 56.48% (Up) in the East–North–Up (ENU) coordinate frame. The GRU-T model effectively captures both short- and long-term temporal dependencies and meets real-time, high-frequency sampling requirements. These results indicate that the GRU–Transformer hybrid model enhances the accuracy and robustness of GNSS/INS navigation in complex orchard environments, offering technical support for high-precision positioning in intelligent agricultural machinery systems.
Keywords: transformer; GRU; sensor fusion; Kalman filter; trajectory prediction; orchard navigation transformer; GRU; sensor fusion; Kalman filter; trajectory prediction; orchard navigation

Share and Cite

MDPI and ACS Style

Gao, P.; Fang, J.; He, J.; Ma, S.; Wen, G.; Li, Z. GRU–Transformer Hybrid Model for GNSS/INS Integration in Orchard Environments. Agriculture 2025, 15, 1135. https://doi.org/10.3390/agriculture15111135

AMA Style

Gao P, Fang J, He J, Ma S, Wen G, Li Z. GRU–Transformer Hybrid Model for GNSS/INS Integration in Orchard Environments. Agriculture. 2025; 15(11):1135. https://doi.org/10.3390/agriculture15111135

Chicago/Turabian Style

Gao, Peng, Jinzhen Fang, Junlin He, Shuang Ma, Guanghua Wen, and Zhen Li. 2025. "GRU–Transformer Hybrid Model for GNSS/INS Integration in Orchard Environments" Agriculture 15, no. 11: 1135. https://doi.org/10.3390/agriculture15111135

APA Style

Gao, P., Fang, J., He, J., Ma, S., Wen, G., & Li, Z. (2025). GRU–Transformer Hybrid Model for GNSS/INS Integration in Orchard Environments. Agriculture, 15(11), 1135. https://doi.org/10.3390/agriculture15111135

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