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Topic: Autonomous Navigation and Control Technology for Landing and Ascending of Extraterrestrial Objects
Mapped Chebyshev Pseudospectral Convex Optimization for Martian Ascent Trajectory Planning
- XU Yuanjing1, LIU Xu1, PENG Shengjun2, XI Tao3, ZHU Yongsheng4, XIAO Yao5, LI Shuang1
Author information
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1. College of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China;
2. China Xi’an Satellite Control Center, Xi’an 710699, China;
3. State Key Laboratory of Aerospace Dynamics, Xi’an 710043, China;
4. Innovation Academy for Microsatellites of Chinese Academy of Sciences, Shanghai 201304, China;
5. Beijing Institute of Spacecraft System Engineering, Beijing 100094, China
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History
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| Received |
Revised |
Published |
| 26 Dec 2022 |
21 Sep 2023 |
26 Mar 2024 |
| Issue Date |
|
| 26 Mar 2024 |
|
Mapped Chebyshev pseudospectral convex optimization approach was proposed for Martian ascent trajectory optimization. Firstly, the lossless convexification technique was used to convexify the fuel-optimal problem of Martian ascent. Then, the convexified problem was discretized at mapped Chebyshev-Gauss-Lobatto points and interpolated by the barycentric rational interpolation techniques. Finally, the sequential convex optimization method was used to solve the convex problem iteratively to obtain the numerical optimal solution. Simulation results show that the proposed method is superior to the classical sequential convex optimization method in computational efficiency, and effectively improves the ill-condition of standard Chebyshev differential matrices.
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