Successive Convexification for Online Ascent Trajectory Optimization

In this paper, a method based on the successive convexification is proposed to solve the ascent trajectory optimization problem, the algorithm converges to the optimal solution quickly even if the initial guess is coarse. A three-dimensional motion is formulated with complex aerodynamics and termina...

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Main Authors: Cheng Hu, Xibin Bai, Shifeng Zhang, Huabo Yang
Format: Article
Language:English
Published: IEEE 2021-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9576753/
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author Cheng Hu
Xibin Bai
Shifeng Zhang
Huabo Yang
author_facet Cheng Hu
Xibin Bai
Shifeng Zhang
Huabo Yang
author_sort Cheng Hu
collection DOAJ
description In this paper, a method based on the successive convexification is proposed to solve the ascent trajectory optimization problem, the algorithm converges to the optimal solution quickly even if the initial guess is coarse. A three-dimensional motion is formulated with complex aerodynamics and terminal constraints. Based on the modified aerodynamic coefficients, the new auxiliary control variables are designed to deal with the complex aerodynamics and non-smooth of control variables in the discrete optimization problem. The inner nonconvex constraints between the new control are relaxed to be convex without loss. The artificial infeasibility and unboundedness caused by linearization are tackled by the virtual controls and soft constraint for trust region in the successive convexification. The good convergence of the proposed method is illustrated by the iterative solutions of the ascent trajectory optimization problem for a small guided rocket, the accuracy is verified by the comparison with the optimal solution given by the typical optimal control solvers, and the feasibility and stability are demonstrated by optimal solutions of the ascent trajectory optimization problems under different missions and dispersed conditions. These excellent performances validated by the adequate simulations indicate that the proposed algorithm can be implemented online.
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spelling doaj.art-3aed4ec4fed94fea9ca80f875b343a892022-12-21T21:32:34ZengIEEEIEEE Access2169-35362021-01-01914184314186010.1109/ACCESS.2021.31208409576753Successive Convexification for Online Ascent Trajectory OptimizationCheng Hu0https://orcid.org/0000-0002-7545-2293Xibin Bai1Shifeng Zhang2https://orcid.org/0000-0003-1118-9323Huabo Yang3https://orcid.org/0000-0002-0236-6263College of Aerospace Science and Engineering, National University of Defense Technology, Changsha, ChinaCollege of Aerospace Science and Engineering, National University of Defense Technology, Changsha, ChinaCollege of Aerospace Science and Engineering, National University of Defense Technology, Changsha, ChinaCollege of Aerospace Science and Engineering, National University of Defense Technology, Changsha, ChinaIn this paper, a method based on the successive convexification is proposed to solve the ascent trajectory optimization problem, the algorithm converges to the optimal solution quickly even if the initial guess is coarse. A three-dimensional motion is formulated with complex aerodynamics and terminal constraints. Based on the modified aerodynamic coefficients, the new auxiliary control variables are designed to deal with the complex aerodynamics and non-smooth of control variables in the discrete optimization problem. The inner nonconvex constraints between the new control are relaxed to be convex without loss. The artificial infeasibility and unboundedness caused by linearization are tackled by the virtual controls and soft constraint for trust region in the successive convexification. The good convergence of the proposed method is illustrated by the iterative solutions of the ascent trajectory optimization problem for a small guided rocket, the accuracy is verified by the comparison with the optimal solution given by the typical optimal control solvers, and the feasibility and stability are demonstrated by optimal solutions of the ascent trajectory optimization problems under different missions and dispersed conditions. These excellent performances validated by the adequate simulations indicate that the proposed algorithm can be implemented online.https://ieeexplore.ieee.org/document/9576753/Convex optimizationascent trajectory optimizationsuccessive convexificationonline trajectory optimizationcomplex nonlinear aerodynamic force
spellingShingle Cheng Hu
Xibin Bai
Shifeng Zhang
Huabo Yang
Successive Convexification for Online Ascent Trajectory Optimization
IEEE Access
Convex optimization
ascent trajectory optimization
successive convexification
online trajectory optimization
complex nonlinear aerodynamic force
title Successive Convexification for Online Ascent Trajectory Optimization
title_full Successive Convexification for Online Ascent Trajectory Optimization
title_fullStr Successive Convexification for Online Ascent Trajectory Optimization
title_full_unstemmed Successive Convexification for Online Ascent Trajectory Optimization
title_short Successive Convexification for Online Ascent Trajectory Optimization
title_sort successive convexification for online ascent trajectory optimization
topic Convex optimization
ascent trajectory optimization
successive convexification
online trajectory optimization
complex nonlinear aerodynamic force
url https://ieeexplore.ieee.org/document/9576753/
work_keys_str_mv AT chenghu successiveconvexificationforonlineascenttrajectoryoptimization
AT xibinbai successiveconvexificationforonlineascenttrajectoryoptimization
AT shifengzhang successiveconvexificationforonlineascenttrajectoryoptimization
AT huaboyang successiveconvexificationforonlineascenttrajectoryoptimization