Computational Optimal Impact Angle Control Guidance Laws Weighted by Arbitrary Functions

This paper presents a computational impact angle control guidance law based on the energy cost weighted by arbitrary functions in order to shape the acceleration command as desired. The optimal guidance problem is established in the impact angle frame and is solved by the Gauss orthogonal collocatio...

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Main Authors: Qi Chen, Jinguang Shi, Zhongyuan Wang
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:International Journal of Aerospace Engineering
Online Access:http://dx.doi.org/10.1155/2023/8747790
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author Qi Chen
Jinguang Shi
Zhongyuan Wang
author_facet Qi Chen
Jinguang Shi
Zhongyuan Wang
author_sort Qi Chen
collection DOAJ
description This paper presents a computational impact angle control guidance law based on the energy cost weighted by arbitrary functions in order to shape the acceleration command as desired. The optimal guidance problem is established in the impact angle frame and is solved by the Gauss orthogonal collocation method. The proposed guidance law is formulated from the generalized optimal control framework, thus a new guidance law that allows achieving a specific guidance goal can be easily obtained in the way of devising a proper weighting function (smooth, piecewise, nonsmooth, or even discontinuous). This property provides more degrees of freedom in the guidance law design to accomplish a specified guidance objective. A hardware experiment is conducted to evaluate the real-time computational capacity of the proposed computational guidance law. Illustrative examples with several types of weighting functions, including smooth, piecewise, nonsmooth, and discontinuous functions, are provided to demonstrate the advantages and capacity of the proposed guidance law.
format Article
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institution Kabale University
issn 1687-5974
language English
publishDate 2023-01-01
publisher Wiley
record_format Article
series International Journal of Aerospace Engineering
spelling doaj-art-b4b86588cea7486b9136cc9ab6c207c62025-08-20T03:39:22ZengWileyInternational Journal of Aerospace Engineering1687-59742023-01-01202310.1155/2023/8747790Computational Optimal Impact Angle Control Guidance Laws Weighted by Arbitrary FunctionsQi Chen0Jinguang Shi1Zhongyuan Wang2School of Energy and Power EngineeringSchool of Energy and Power EngineeringSchool of Energy and Power EngineeringThis paper presents a computational impact angle control guidance law based on the energy cost weighted by arbitrary functions in order to shape the acceleration command as desired. The optimal guidance problem is established in the impact angle frame and is solved by the Gauss orthogonal collocation method. The proposed guidance law is formulated from the generalized optimal control framework, thus a new guidance law that allows achieving a specific guidance goal can be easily obtained in the way of devising a proper weighting function (smooth, piecewise, nonsmooth, or even discontinuous). This property provides more degrees of freedom in the guidance law design to accomplish a specified guidance objective. A hardware experiment is conducted to evaluate the real-time computational capacity of the proposed computational guidance law. Illustrative examples with several types of weighting functions, including smooth, piecewise, nonsmooth, and discontinuous functions, are provided to demonstrate the advantages and capacity of the proposed guidance law.http://dx.doi.org/10.1155/2023/8747790
spellingShingle Qi Chen
Jinguang Shi
Zhongyuan Wang
Computational Optimal Impact Angle Control Guidance Laws Weighted by Arbitrary Functions
International Journal of Aerospace Engineering
title Computational Optimal Impact Angle Control Guidance Laws Weighted by Arbitrary Functions
title_full Computational Optimal Impact Angle Control Guidance Laws Weighted by Arbitrary Functions
title_fullStr Computational Optimal Impact Angle Control Guidance Laws Weighted by Arbitrary Functions
title_full_unstemmed Computational Optimal Impact Angle Control Guidance Laws Weighted by Arbitrary Functions
title_short Computational Optimal Impact Angle Control Guidance Laws Weighted by Arbitrary Functions
title_sort computational optimal impact angle control guidance laws weighted by arbitrary functions
url http://dx.doi.org/10.1155/2023/8747790
work_keys_str_mv AT qichen computationaloptimalimpactanglecontrolguidancelawsweightedbyarbitraryfunctions
AT jinguangshi computationaloptimalimpactanglecontrolguidancelawsweightedbyarbitraryfunctions
AT zhongyuanwang computationaloptimalimpactanglecontrolguidancelawsweightedbyarbitraryfunctions