Dynamic Line of Sight Shaping for Impact Time and Angle Control Guidance

Akin Çatak; Emre Koyuncu

doi:10.1016/j.ifacol.2023.10.943

Dynamic Line of Sight Shaping for Impact Time and Angle Control Guidance

Akin Çatak^*, Emre Koyuncu^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

4 Citations (Scopus)

Abstract

This paper presents a novel guidance law enabling to control together of the impact time and angle for planar engagement scenarios. The developed guidance command has a form of biased proportional navigation, and the bias term employs the angle and time constraints at the terminal phase. Specifically, the bias term with nonlinear expression contains the second derivative of the line of sight angle. Thus, shaping a Bézier curve with the C² continuity guarantee allows us to meet final constraints. Besides, one extra design variable is needed to remove the impact time error related to angle error arising from nonlinearity. Control point locations of resulting 4^th degree Bézier curve are determined by boundary conditions, except one being determined using an offline Newton iteration method to eliminate the error. Simulation studies, including a comparison study, are conducted to show the effectiveness of the proposed ITACG law.

Original language	English
Title of host publication	IFAC-PapersOnLine
Editors	Hideaki Ishii, Yoshio Ebihara, Jun-ichi Imura, Masaki Yamakita
Publisher	Elsevier B.V.
Pages	4514-4519
Number of pages	6
Edition	2
ISBN (Electronic)	9781713872344
DOIs	https://doi.org/10.1016/j.ifacol.2023.10.943
Publication status	Published - 1 Jul 2023
Event	22nd IFAC World Congress - Yokohama, Japan Duration: 9 Jul 2023 → 14 Jul 2023

Publication series

Name	IFAC-PapersOnLine
Number	2
Volume	56
ISSN (Electronic)	2405-8963

Conference

Conference	22nd IFAC World Congress
Country/Territory	Japan
City	Yokohama
Period	9/07/23 → 14/07/23

Bibliographical note

Publisher Copyright:
Copyright © 2023 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/)

Funding

The authors would like to thank Dr. Raziye Tekin (Roketsan Missiles Co.) for her valuable suggestions and advice for this study.

Keywords

Guidance Law
ITACG
Impact Angle
Impact Time

Access to Document

10.1016/j.ifacol.2023.10.943

Cite this

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title = "Dynamic Line of Sight Shaping for Impact Time and Angle Control Guidance",

abstract = "This paper presents a novel guidance law enabling to control together of the impact time and angle for planar engagement scenarios. The developed guidance command has a form of biased proportional navigation, and the bias term employs the angle and time constraints at the terminal phase. Specifically, the bias term with nonlinear expression contains the second derivative of the line of sight angle. Thus, shaping a B{\'e}zier curve with the C2 continuity guarantee allows us to meet final constraints. Besides, one extra design variable is needed to remove the impact time error related to angle error arising from nonlinearity. Control point locations of resulting 4th degree B{\'e}zier curve are determined by boundary conditions, except one being determined using an offline Newton iteration method to eliminate the error. Simulation studies, including a comparison study, are conducted to show the effectiveness of the proposed ITACG law.",

keywords = "Guidance Law, ITACG, Impact Angle, Impact Time",

author = "Akin {\c C}atak and Emre Koyuncu",

note = "Publisher Copyright: Copyright {\textcopyright} 2023 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/); 22nd IFAC World Congress ; Conference date: 09-07-2023 Through 14-07-2023",

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Dynamic Line of Sight Shaping for Impact Time and Angle Control Guidance. / Çatak, Akin ; Koyuncu, Emre.
IFAC-PapersOnLine. ed. / Hideaki Ishii; Yoshio Ebihara; Jun-ichi Imura; Masaki Yamakita. 2. ed. Elsevier B.V., 2023. p. 4514-4519 (IFAC-PapersOnLine; Vol. 56, No. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Dynamic Line of Sight Shaping for Impact Time and Angle Control Guidance

AU - Çatak, Akin

AU - Koyuncu, Emre

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N2 - This paper presents a novel guidance law enabling to control together of the impact time and angle for planar engagement scenarios. The developed guidance command has a form of biased proportional navigation, and the bias term employs the angle and time constraints at the terminal phase. Specifically, the bias term with nonlinear expression contains the second derivative of the line of sight angle. Thus, shaping a Bézier curve with the C2 continuity guarantee allows us to meet final constraints. Besides, one extra design variable is needed to remove the impact time error related to angle error arising from nonlinearity. Control point locations of resulting 4th degree Bézier curve are determined by boundary conditions, except one being determined using an offline Newton iteration method to eliminate the error. Simulation studies, including a comparison study, are conducted to show the effectiveness of the proposed ITACG law.

AB - This paper presents a novel guidance law enabling to control together of the impact time and angle for planar engagement scenarios. The developed guidance command has a form of biased proportional navigation, and the bias term employs the angle and time constraints at the terminal phase. Specifically, the bias term with nonlinear expression contains the second derivative of the line of sight angle. Thus, shaping a Bézier curve with the C2 continuity guarantee allows us to meet final constraints. Besides, one extra design variable is needed to remove the impact time error related to angle error arising from nonlinearity. Control point locations of resulting 4th degree Bézier curve are determined by boundary conditions, except one being determined using an offline Newton iteration method to eliminate the error. Simulation studies, including a comparison study, are conducted to show the effectiveness of the proposed ITACG law.

KW - Guidance Law

KW - ITACG

KW - Impact Angle

KW - Impact Time

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ER -

Dynamic Line of Sight Shaping for Impact Time and Angle Control Guidance

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Keywords

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