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Article

A Hierarchical Trajectory Planning Framework for Autonomous Underwater Vehicles via Spatial–Temporal Alternating Optimization

1
College of Intelligent Systems Science and Engineering, Harbin Engineering University, Harbin 150001, China
2
Qingdao Innovation and Development Center, Harbin Engineering University, Qingdao 266404, China
*
Author to whom correspondence should be addressed.
Robotics 2026, 15(1), 18; https://doi.org/10.3390/robotics15010018
Submission received: 22 November 2025 / Revised: 27 December 2025 / Accepted: 7 January 2026 / Published: 9 January 2026
(This article belongs to the Special Issue SLAM and Adaptive Navigation for Robotics)

Abstract

Autonomous underwater vehicle (AUV) motion planning in complex three-dimensional ocean environments remains challenging due to the simultaneous requirements of obstacle avoidance, dynamic feasibility, and energy efficiency. Current approaches often decouple these factors or exhibit high computational overhead, limiting applicability in real-time or large-scale missions. This work proposes a hierarchical trajectory planning framework designed to address these coupled constraints in an integrated manner. The framework consists of two stages: (i) a current-biased sampling-based planner (CB-RRT*) is introduced to incorporate ocean current information into the path generation process. By leveraging flow field distributions, the planner improves path geometric continuity and reduces steering variations compared with benchmark algorithms; (ii) spatial–temporal alternating optimization is performed within underwater safe corridors, where Bézier curve parameterization is utilized to jointly optimize spatial shapes and temporal profiles, producing dynamically feasible and energy-efficient trajectories. Simulation results in dense obstacle fields, heterogeneous flow environments, and large-scale maps demonstrate that the proposed method reduces the maximum steering angle by up to 63% in downstream scenarios, achieving a mean maximum turning angle of 0.06 rad after optimization. The framework consistently attains the lowest energy consumption across all tests while maintaining an average computation time of 0.68 s in typical environments. These results confirm the framework’s suitability for practical AUV applications, providing a computationally efficient solution for generating safe, kinematically feasible, and energy-efficient trajectories in real-world ocean settings.
Keywords: autonomous underwater vehicle (AUV); trajectory planning; ocean current disturbance; multi-constraints autonomous underwater vehicle (AUV); trajectory planning; ocean current disturbance; multi-constraints

Share and Cite

MDPI and ACS Style

Yan, J.; Zhang, H. A Hierarchical Trajectory Planning Framework for Autonomous Underwater Vehicles via Spatial–Temporal Alternating Optimization. Robotics 2026, 15, 18. https://doi.org/10.3390/robotics15010018

AMA Style

Yan J, Zhang H. A Hierarchical Trajectory Planning Framework for Autonomous Underwater Vehicles via Spatial–Temporal Alternating Optimization. Robotics. 2026; 15(1):18. https://doi.org/10.3390/robotics15010018

Chicago/Turabian Style

Yan, Jinjin, and Huiling Zhang. 2026. "A Hierarchical Trajectory Planning Framework for Autonomous Underwater Vehicles via Spatial–Temporal Alternating Optimization" Robotics 15, no. 1: 18. https://doi.org/10.3390/robotics15010018

APA Style

Yan, J., & Zhang, H. (2026). A Hierarchical Trajectory Planning Framework for Autonomous Underwater Vehicles via Spatial–Temporal Alternating Optimization. Robotics, 15(1), 18. https://doi.org/10.3390/robotics15010018

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