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Research on Trajectory Optimization Based on Simultaneous Method in Launch Vehicles Ascent Stage
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Fan HUANG, Simei JI, Jie GUO, Shengjing TANG
Missiles and Space Vehicles | 2024, 47(6) : 21 - 27
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Missiles and Space Vehicles | 2024, 47(6): 21-27
Launch Vehicle and Missile
Research on Trajectory Optimization Based on Simultaneous Method in Launch Vehicles Ascent Stage
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Fan HUANG, Simei JI, Jie GUO, Shengjing TANG
Affiliations
  • Key Laboratory of Dynamics and Control of Flight Vehicle, Ministry of Education, School of Aerospace Engineering,Beijing Institute of Technology,Beijing,100081
Published: 2024-12-25 doi: 10.7654/j.issn.2097-1974.20240604
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Aiming at the trajectory optimization problem of the ascending stage of launch vehicle in the atmosphere with complex and multi constraints, a trajectory optimization method based on simultaneous method is proposed. The method adopts the direct method under the simultaneous framework, discretizes the state variables and control variables through the finite element orthogonal collocation method, and then solves the discrete nonlinear programming problem by the interior point method, so as to balance the calculation efficiency and solution accuracy, and improve the autonomy and task adaptability of trajectory optimization. Aiming at the problem that the larger the scale of the discrete nonlinear programming problem is, the more time-consuming the gradient matrix calculation is, making full use of the sparsity of the partial derivative matrix, the solution of the non-zero term in the NLP gradient is transformed into the solution of the partial derivative of the original optimal control problem, so as to further improve the efficiency of trajectory optimization. The simulation results show that this method can complete the flight mission well and meet constraints.

simultaneous frame  /  finite element orthogonal collocation method  /  interior point method  /  gradient matrix  /  sparsity
Fan HUANG, Simei JI, Jie GUO, Shengjing TANG. Research on Trajectory Optimization Based on Simultaneous Method in Launch Vehicles Ascent Stage[J]. Missiles and Space Vehicles, 2024 , 47 (6) : 21 -27 . DOI: 10.7654/j.issn.2097-1974.20240604
Year 2024 volume 47 Issue 6
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doi: 10.7654/j.issn.2097-1974.20240604
  • Receive Date:2022-04-24
  • Online Date:2025-07-04
  • Published:2024-12-25
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  • Received:2022-04-24
  • Revised:2023-02-01
Affiliations
    Key Laboratory of Dynamics and Control of Flight Vehicle, Ministry of Education, School of Aerospace Engineering,Beijing Institute of Technology,Beijing,100081
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
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Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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