Generalized Guidance Formulation for Impact Angle Interception with Physical Constraints

This paper proposes an optimal impact angle control guidance law for homing missiles with a narrow field-of-view of the seekers. As groundwork for designing a guidance law, we first present a general guidance structure that can achieve any terminal constraint of the line-of-sight rate based on the o...

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Main Authors: Hyeong-Geun Kim, Jun-Yong Lee
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Aerospace
Subjects:
Online Access:https://www.mdpi.com/2226-4310/8/10/307
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author Hyeong-Geun Kim
Jun-Yong Lee
author_facet Hyeong-Geun Kim
Jun-Yong Lee
author_sort Hyeong-Geun Kim
collection DOAJ
description This paper proposes an optimal impact angle control guidance law for homing missiles with a narrow field-of-view of the seekers. As groundwork for designing a guidance law, we first present a general guidance structure that can achieve any terminal constraint of the line-of-sight rate based on the optimal control theory. We configure the desired profile of the line-of-sight rate using a saturation function whose exact form is determined to satisfy the required boundary conditions. By combining the line-of-sight rate profile with the optimal guidance structure, we develop a guidance law that achieves an impact angle interception with the field-of-view constraint. Herein, as the entire guidance structure is derived based on exact kinematics without any approximation, the proposed law ensures the accurate impact angle interception for various engagement scenarios. This precise consideration of the engagement kinematics also accurately ensures the energy optimality of preventing the excessive use of control inputs when homing. To evaluate the performance of the proposed method, numerical simulations with various engagement scenarios are conducted, and the results demonstrate that the proposed law allows missiles to accurately intercept their targets with the desired impact angles and without violating the prescribed field-of-view constraint.
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spelling doaj.art-74929f91ae03484c90120cb841aa37e22023-11-22T17:03:55ZengMDPI AGAerospace2226-43102021-10-0181030710.3390/aerospace8100307Generalized Guidance Formulation for Impact Angle Interception with Physical ConstraintsHyeong-Geun Kim0Jun-Yong Lee1Department of Mechanical Engineering, Incheon National University, Incheon 22012, KoreaNearthLab, Seoul 06246, KoreaThis paper proposes an optimal impact angle control guidance law for homing missiles with a narrow field-of-view of the seekers. As groundwork for designing a guidance law, we first present a general guidance structure that can achieve any terminal constraint of the line-of-sight rate based on the optimal control theory. We configure the desired profile of the line-of-sight rate using a saturation function whose exact form is determined to satisfy the required boundary conditions. By combining the line-of-sight rate profile with the optimal guidance structure, we develop a guidance law that achieves an impact angle interception with the field-of-view constraint. Herein, as the entire guidance structure is derived based on exact kinematics without any approximation, the proposed law ensures the accurate impact angle interception for various engagement scenarios. This precise consideration of the engagement kinematics also accurately ensures the energy optimality of preventing the excessive use of control inputs when homing. To evaluate the performance of the proposed method, numerical simulations with various engagement scenarios are conducted, and the results demonstrate that the proposed law allows missiles to accurately intercept their targets with the desired impact angles and without violating the prescribed field-of-view constraint.https://www.mdpi.com/2226-4310/8/10/307field-of-view limitationimpact angle controlnonlinear guidanceoptimal guidance
spellingShingle Hyeong-Geun Kim
Jun-Yong Lee
Generalized Guidance Formulation for Impact Angle Interception with Physical Constraints
Aerospace
field-of-view limitation
impact angle control
nonlinear guidance
optimal guidance
title Generalized Guidance Formulation for Impact Angle Interception with Physical Constraints
title_full Generalized Guidance Formulation for Impact Angle Interception with Physical Constraints
title_fullStr Generalized Guidance Formulation for Impact Angle Interception with Physical Constraints
title_full_unstemmed Generalized Guidance Formulation for Impact Angle Interception with Physical Constraints
title_short Generalized Guidance Formulation for Impact Angle Interception with Physical Constraints
title_sort generalized guidance formulation for impact angle interception with physical constraints
topic field-of-view limitation
impact angle control
nonlinear guidance
optimal guidance
url https://www.mdpi.com/2226-4310/8/10/307
work_keys_str_mv AT hyeonggeunkim generalizedguidanceformulationforimpactangleinterceptionwithphysicalconstraints
AT junyonglee generalizedguidanceformulationforimpactangleinterceptionwithphysicalconstraints