TY - JOUR
T1 - Autonomous trajectory planning for multi-stage launch vehicles using mass-projection sequential penalized convex relaxation method
AU - Dong, Yue
AU - Liu, Jizhong
AU - Shang, Haibin
AU - Zhao, Zichen
AU - Nie, Tao
N1 - Publisher Copyright:
© 2023 COSPAR
PY - 2023/6/1
Y1 - 2023/6/1
N2 - Autonomous trajectory planning for multi-stage launch vehicles poses great technical challenges, mainly because of the highly nonlinear flight dynamics and complex multi-phase structure. Here, this problem is solved by a novel, robust, and efficient approach within the framework of convex optimization. Focusing on the multi-phase difficulty, a mass-projection technique that substitutes the original time independent variable with the mass history is introduced to eliminate the problem's discontinuous nature and phase-linkage event constraints, then a new sequential relaxation-and-penalization method is proposed to address the resulting problem. All non-convex terms involved in the problem are relaxed to formulate a certainly feasible semi-definite problem, the deviation between which and the true problem is penalized by blending the information from the trust region and semi-definite constraint. The combination of the mass-projection technique and the sequential relaxation-and-penalization method is found to be capable of recovering the original problem and providing the optimal solution rapidly and reliably. Three representative simulations are performed to verify the robustness and computational efficiency of the proposed approach, and comparative results show that it achieves a 100% success rate for all cases, while enabling a 69% to 98% saving of computational time compared to typical methods.
AB - Autonomous trajectory planning for multi-stage launch vehicles poses great technical challenges, mainly because of the highly nonlinear flight dynamics and complex multi-phase structure. Here, this problem is solved by a novel, robust, and efficient approach within the framework of convex optimization. Focusing on the multi-phase difficulty, a mass-projection technique that substitutes the original time independent variable with the mass history is introduced to eliminate the problem's discontinuous nature and phase-linkage event constraints, then a new sequential relaxation-and-penalization method is proposed to address the resulting problem. All non-convex terms involved in the problem are relaxed to formulate a certainly feasible semi-definite problem, the deviation between which and the true problem is penalized by blending the information from the trust region and semi-definite constraint. The combination of the mass-projection technique and the sequential relaxation-and-penalization method is found to be capable of recovering the original problem and providing the optimal solution rapidly and reliably. Three representative simulations are performed to verify the robustness and computational efficiency of the proposed approach, and comparative results show that it achieves a 100% success rate for all cases, while enabling a 69% to 98% saving of computational time compared to typical methods.
KW - Convex optimization
KW - Mass projection
KW - Multi-stage launch vehicle
KW - Successive penalized relaxation
KW - Trajectory planning
UR - http://www.scopus.com/inward/record.url?scp=85147212584&partnerID=8YFLogxK
U2 - 10.1016/j.asr.2023.01.011
DO - 10.1016/j.asr.2023.01.011
M3 - Article
AN - SCOPUS:85147212584
SN - 0273-1177
VL - 71
SP - 4467
EP - 4484
JO - Advances in Space Research
JF - Advances in Space Research
IS - 11
ER -