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Four-dimensional trajectory point control method for TBO
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Yantao WANG, Tianwen ZHANG, Tongyu SHI**
China Safety Science Journal | 2025, 35(3) : 60 - 68
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China Safety Science Journal | 2025, 35(3): 60-68
• Safety engineering technology •
Four-dimensional trajectory point control method for TBO
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Yantao WANG, Tianwen ZHANG, Tongyu SHI**
Affiliations
  • College of Air Traffic Management，Civil Aviation University of China，Tianjin 300300，China
Published: 2025-03-28 doi: 10.16265/j.cnki.issn1003-3033.2025.03.0649
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To meet the requirements of the future Trajectory-Based Operation (TBO) mode，improve air traffic safety and efficiency，and obtain executable four-dimensional (4D) trajectory results with multi-point control，this study first established a fundamental 4D trajectory dynamics model by integrating atmospheric environment modeling，aircraft point-mass motion modeling，and performance modeling. Subsequently，a 4D trajectory simulation framework was developed using Simulink to validate the executability of the fundamental dynamics model. Following this，an optimal control-based 4D trajectory waypoint control model was constructed with reference trajectories as optimization targets，where the waypoint control problem was transformed into a nonlinear programming problem through the Radau pseudospectral method. Finally，comparative analyses were conducted using historical flight data from QAR. Results demonstrate that the simulated velocity and mass parameters exhibit zero deviation from QAR records，while median errors in longitude，latitude，and altitude are 0.000 11°，0.001 2°，and 19.24 m，respectively，all satisfying safety separation requirements. Critical parameters including position，time，and heading angle at selected waypoints showed zero deviation. Notably，strict control of 13 waypoints is achieved within a 65-minute flight segment.

trajectory based operation(TBO)  /  four-dimensional trajectory  /  crossing-point control  /  dynamics  /  quick access recorder(QAR)  /  aircraft
Yantao WANG, Tianwen ZHANG, Tongyu SHI. Four-dimensional trajectory point control method for TBO[J]. China Safety Science Journal, 2025 , 35 (3) : 60 -68 . DOI: 10.16265/j.cnki.issn1003-3033.2025.03.0649
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Year 2025 volume 35 Issue 3
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Article Info
doi: 10.16265/j.cnki.issn1003-3033.2025.03.0649
  • Receive Date：2024-10-30
  • Online Date：2025-07-05
  • Published：2025-03-28
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  • Received：2024-10-30
  • Revised：2024-12-27
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    College of Air Traffic Management，Civil Aviation University of China，Tianjin 300300，China
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