Multi-objective minimum time optimal control for low-thrust trajectory design
We propose a reachability approach for infinite and finite horizon multi-objective optimization problems for low-thrust spacecraft trajectory design. The main advantage of the proposed method is that the Pareto front can be efficiently constructed from the zero level set of the solution to a Hamilto...
| 主要な著者: | , , |
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| フォーマット: | Conference item |
| 言語: | English |
| 出版事項: |
IEEE
2022
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| 要約: | We propose a reachability approach for infinite
and finite horizon multi-objective optimization problems for
low-thrust spacecraft trajectory design. The main advantage
of the proposed method is that the Pareto front can be
efficiently constructed from the zero level set of the solution
to a Hamilton-Jacobi-Bellman equation. We demonstrate the
proposed method by applying it to a low-thrust spacecraft
trajectory design problem. By deriving the analytic expression
for the Hamiltonian and the optimal control policy, we are
able to efficiently compute the backward reachable set and
reconstruct the optimal trajectories. Furthermore, we show
that any reconstructed trajectory will be guaranteed to be
weakly Pareto optimal. The proposed method can be used as a
benchmark for future research of applying reachability analysis
to low-thrust spacecraft trajectory design. |
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