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WU Di, CHENG Lin, WANG Wei, LI Junfeng. Analytical Initialization For Low-Thrust Trajectory Optimization Based on Switching System[J]. Journal of Deep Space Exploration. doi: 10.15982/j.issn.2096-9287.2021.20200090
Citation: WU Di, CHENG Lin, WANG Wei, LI Junfeng. Analytical Initialization For Low-Thrust Trajectory Optimization Based on Switching System[J]. Journal of Deep Space Exploration. doi: 10.15982/j.issn.2096-9287.2021.20200090

Analytical Initialization For Low-Thrust Trajectory Optimization Based on Switching System

doi: 10.15982/j.issn.2096-9287.2021.20200090
  • Received Date: 2020-12-07
  • Rev Recd Date: 2021-01-10
  • The traditional homotopy method usually transforms the low-thrust fuel-optimal control problem into the energy-optimal problem to increase the convergence rate of the indirect method. However, it is still necessary to guess the initial values of the costates to initialize the solving algorithm. In this paper, the optimization model of the fuel-optimal problem is embedded in the switching system with the analytical initial costates, which further improves the convergence rate with the analytical initialization. Firstly, the switching system is introduced with the embedded fuel-optimal problem. The switching function is designed to realize the switching and continuation. Secondly, based on the linearization technique, the target system is designed with analytical initial costates, initializing the solving algorithm by a simple nominal trajectory. Finally, the numerical simulation shows the effectiveness of the proposed method, which is more efficient than the traditional homotopy method.
  • ● The low-thrust fuel-optimal control problem is solved starting from an analytical solution. ● A switched system is established with a new type of switching function formulation. ● High efficiency solving algorithm is achieved via homotopy to the switching system.

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Analytical Initialization For Low-Thrust Trajectory Optimization Based on Switching System

doi: 10.15982/j.issn.2096-9287.2021.20200090

Abstract: The traditional homotopy method usually transforms the low-thrust fuel-optimal control problem into the energy-optimal problem to increase the convergence rate of the indirect method. However, it is still necessary to guess the initial values of the costates to initialize the solving algorithm. In this paper, the optimization model of the fuel-optimal problem is embedded in the switching system with the analytical initial costates, which further improves the convergence rate with the analytical initialization. Firstly, the switching system is introduced with the embedded fuel-optimal problem. The switching function is designed to realize the switching and continuation. Secondly, based on the linearization technique, the target system is designed with analytical initial costates, initializing the solving algorithm by a simple nominal trajectory. Finally, the numerical simulation shows the effectiveness of the proposed method, which is more efficient than the traditional homotopy method.

WU Di, CHENG Lin, WANG Wei, LI Junfeng. Analytical Initialization For Low-Thrust Trajectory Optimization Based on Switching System[J]. Journal of Deep Space Exploration. doi: 10.15982/j.issn.2096-9287.2021.20200090
Citation: WU Di, CHENG Lin, WANG Wei, LI Junfeng. Analytical Initialization For Low-Thrust Trajectory Optimization Based on Switching System[J]. Journal of Deep Space Exploration. doi: 10.15982/j.issn.2096-9287.2021.20200090
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