Reentry Trajectory Optimization for a Hypersonic Vehicle Based on an Improved Adaptive Fireworks Algorithm

Generation of optimal reentry trajectory for a hypersonic vehicle (HV) satisfying both boundary conditions and path constraints is a challenging task. As a relatively new swarm intelligent algorithm, an adaptive fireworks algorithm (AFWA) has exhibited promising performance on some optimization prob...

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Main Authors: Xing Wei, Lei Liu, Yongji Wang, Ye Yang
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:International Journal of Aerospace Engineering
Online Access:http://dx.doi.org/10.1155/2018/8793908
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author Xing Wei
Lei Liu
Yongji Wang
Ye Yang
author_facet Xing Wei
Lei Liu
Yongji Wang
Ye Yang
author_sort Xing Wei
collection DOAJ
description Generation of optimal reentry trajectory for a hypersonic vehicle (HV) satisfying both boundary conditions and path constraints is a challenging task. As a relatively new swarm intelligent algorithm, an adaptive fireworks algorithm (AFWA) has exhibited promising performance on some optimization problems. However, with respect to the optimal reentry trajectory generation under constraints, the AFWA may fall into local optimum, since the individuals including fireworks and sparks are not well informed by the whole swarm. In this paper, we propose an improved AFWA to generate the optimal reentry trajectory under constraints. First, via the Chebyshev polynomial interpolation, the trajectory optimization problem with infinite dimensions is transformed to a nonlinear programming problem (NLP) with finite dimension, and the scope of angle of attack (AOA) is obtained by path constraints to reduce the difficulty of the optimization. To solve the problem, an improved AFWA with a new mutation strategy is developed, where the fireworks can learn from more individuals by the new mutation operator. This strategy significantly enhances the interactions between the fireworks and sparks and thus increases the diversity of population and improves the global search capability. Besides, a constraint-handling technique based on an adaptive penalty function and distance measure is developed to deal with multiple constraints. The numerical simulations of two reentry scenarios for HV demonstrate the validity and effectiveness of the proposed improved AFWA optimization method, when compared with other optimization methods.
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institution Kabale University
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language English
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series International Journal of Aerospace Engineering
spelling doaj-art-6b8ebfd5d49b4b0a9cbf91c5e0916c002025-02-03T01:12:04ZengWileyInternational Journal of Aerospace Engineering1687-59661687-59742018-01-01201810.1155/2018/87939088793908Reentry Trajectory Optimization for a Hypersonic Vehicle Based on an Improved Adaptive Fireworks AlgorithmXing Wei0Lei Liu1Yongji Wang2Ye Yang3National Key Laboratory of Science and Technology on Multispectral Information Processing, School of Automation, Huazhong University of Science and Technology (HUST), Wuhan 430074, ChinaNational Key Laboratory of Science and Technology on Multispectral Information Processing, School of Automation, Huazhong University of Science and Technology (HUST), Wuhan 430074, ChinaNational Key Laboratory of Science and Technology on Multispectral Information Processing, School of Automation, Huazhong University of Science and Technology (HUST), Wuhan 430074, ChinaBeijing Aerospace Automatic Control Institute, Beijing 100854, ChinaGeneration of optimal reentry trajectory for a hypersonic vehicle (HV) satisfying both boundary conditions and path constraints is a challenging task. As a relatively new swarm intelligent algorithm, an adaptive fireworks algorithm (AFWA) has exhibited promising performance on some optimization problems. However, with respect to the optimal reentry trajectory generation under constraints, the AFWA may fall into local optimum, since the individuals including fireworks and sparks are not well informed by the whole swarm. In this paper, we propose an improved AFWA to generate the optimal reentry trajectory under constraints. First, via the Chebyshev polynomial interpolation, the trajectory optimization problem with infinite dimensions is transformed to a nonlinear programming problem (NLP) with finite dimension, and the scope of angle of attack (AOA) is obtained by path constraints to reduce the difficulty of the optimization. To solve the problem, an improved AFWA with a new mutation strategy is developed, where the fireworks can learn from more individuals by the new mutation operator. This strategy significantly enhances the interactions between the fireworks and sparks and thus increases the diversity of population and improves the global search capability. Besides, a constraint-handling technique based on an adaptive penalty function and distance measure is developed to deal with multiple constraints. The numerical simulations of two reentry scenarios for HV demonstrate the validity and effectiveness of the proposed improved AFWA optimization method, when compared with other optimization methods.http://dx.doi.org/10.1155/2018/8793908
spellingShingle Xing Wei
Lei Liu
Yongji Wang
Ye Yang
Reentry Trajectory Optimization for a Hypersonic Vehicle Based on an Improved Adaptive Fireworks Algorithm
International Journal of Aerospace Engineering
title Reentry Trajectory Optimization for a Hypersonic Vehicle Based on an Improved Adaptive Fireworks Algorithm
title_full Reentry Trajectory Optimization for a Hypersonic Vehicle Based on an Improved Adaptive Fireworks Algorithm
title_fullStr Reentry Trajectory Optimization for a Hypersonic Vehicle Based on an Improved Adaptive Fireworks Algorithm
title_full_unstemmed Reentry Trajectory Optimization for a Hypersonic Vehicle Based on an Improved Adaptive Fireworks Algorithm
title_short Reentry Trajectory Optimization for a Hypersonic Vehicle Based on an Improved Adaptive Fireworks Algorithm
title_sort reentry trajectory optimization for a hypersonic vehicle based on an improved adaptive fireworks algorithm
url http://dx.doi.org/10.1155/2018/8793908
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AT leiliu reentrytrajectoryoptimizationforahypersonicvehiclebasedonanimprovedadaptivefireworksalgorithm
AT yongjiwang reentrytrajectoryoptimizationforahypersonicvehiclebasedonanimprovedadaptivefireworksalgorithm
AT yeyang reentrytrajectoryoptimizationforahypersonicvehiclebasedonanimprovedadaptivefireworksalgorithm