Real-Time Trajectory Planning for Hypersonic Entry Using Adaptive Non-Uniform Discretization and Convex Optimization

Jiarui Ma, Hongbo Chen (), Jinbo Wang and Qiliang Zhang
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Jiarui Ma: School of System Science and Engineering, Sun Yat-Sen University, Guangzhou 510006, China
Hongbo Chen: School of System Science and Engineering, Sun Yat-Sen University, Guangzhou 510006, China
Jinbo Wang: School of System Science and Engineering, Sun Yat-Sen University, Guangzhou 510006, China
Qiliang Zhang: School of System Science and Engineering, Sun Yat-Sen University, Guangzhou 510006, China

Mathematics, 2023, vol. 11, issue 12, 1-18

Abstract: This paper introduces an improved sequential convex programming algorithm using adaptive non-uniform discretization for the hypersonic entry problem. In order to ensure real-time performance, an inverse-free precise discretization based on first-order hold discretization is adopted to obtain a high-accuracy solution with fewer temporal nodes, which would lead to constraint violation between the temporal nodes due to the sparse time grid. To deal with this limitation, an adaptive non-uniform discretization is developed, which provides a search direction for purposeful clustering of discrete points by adding penalty terms in the problem construction process. Numerical results show that the proposed method has fast convergence with high accuracy while all the path constraints are satisfied over the time horizon, thus giving potential to real-time trajectory planning.

Keywords: hypersonic entry; real-time trajectory planning; sequential convex programming; adaptive non-uniform discretization; feasibility guarantee (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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