ACTA AERONAUTICAET ASTRONAUTICA SINICA >
Singularity analysis and automatic solution method for aircraft multi-constrained trajectory optimization
Received date: 2025-04-22
Revised date: 2025-06-05
Accepted date: 2025-07-03
Online published: 2025-07-15
Supported by
Aeronautical Science Foundation of China(2018ZA72003)
The aircraft trajectory optimization problem usually involves complex situations such as singular arc type control， bang-bang control， and active constraint control， where the control variable is switched. The existing solution methods are difficult to achieve a balance between accuracy and numerical stability when dealing with the problem containing switch control. In this paper， the control singularity and the influence of active constraints on the switch of control law in the aircraft trajectory optimization problem are analyzed， and an automatic solution method is constructed. The proposed method requires no prior knowledge of the control structure； instead， based on the solution by the Radau pseudospectral method， an automatic estimation method for the control switch moment is added. According to these estimations， the entire control process is divided into multiple stages. Then， the control types of each stage are identified and the solution strategies are constructed in a targeted manner to gradually approximate the optimal solution of the problem in the optimization iteration. Taking Airbus A320 aircraft as an example， both the proposed method and the optimal control software GPOPS-Ⅱ are employed to solve trajectory optimization problem with singularity and active constraints. Numerical experiments show that the proposed method has better advantages in numerical stability and convergence accuracy for the aircraft trajectory optimization problem with control switching.
Yonghui WU , Xiang LI , Hao HUANG , Xu LIU . Singularity analysis and automatic solution method for aircraft multi-constrained trajectory optimization[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2026 , 47(2) : 332147 -332147 . DOI: 10.7527/S1000-6893.2025.32147
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