Impact-Angle-Control Guidance Law with Terminal Constraints on Curvature of Trajectory
This paper presents an impact-angle-control guidance law with terminal constraints on the curvature of the missile trajectory. The formulation takes into account nonlinear kinematics and time-varying velocity, allowing for more general cases in which the flight path angle may not be small throughout...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/4/974 |
| _version_ | 1797619569227988992 |
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| author | Kyoung-Rok Song In-Soo Jeon |
| author_facet | Kyoung-Rok Song In-Soo Jeon |
| author_sort | Kyoung-Rok Song |
| collection | DOAJ |
| description | This paper presents an impact-angle-control guidance law with terminal constraints on the curvature of the missile trajectory. The formulation takes into account nonlinear kinematics and time-varying velocity, allowing for more general cases in which the flight path angle may not be small throughout the entire trajectory. The proposed optimal guidance law aims to minimize the change rate of pseudo-curvature, which is defined as a curvature with weighting factors based on the flight-path angle and range to go. The analysis shows that the trajectories generated by this nonlinear guidance law have a simple polynomial form with respect to downrange. Numerical simulations demonstrate that the cost function parameter can be used to shape the trajectories along the downrange. |
| first_indexed | 2024-03-11T08:28:52Z |
| format | Article |
| id | doaj.art-ecf539587c4d4c76add5252be910e6ae |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T08:28:52Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-ecf539587c4d4c76add5252be910e6ae2023-11-16T21:56:37ZengMDPI AGMathematics2227-73902023-02-0111497410.3390/math11040974Impact-Angle-Control Guidance Law with Terminal Constraints on Curvature of TrajectoryKyoung-Rok Song0In-Soo Jeon1Missile Research Institute, Agency for Defense Development, Daejeon 34060, Republic of KoreaMissile Research Institute, Agency for Defense Development, Daejeon 34060, Republic of KoreaThis paper presents an impact-angle-control guidance law with terminal constraints on the curvature of the missile trajectory. The formulation takes into account nonlinear kinematics and time-varying velocity, allowing for more general cases in which the flight path angle may not be small throughout the entire trajectory. The proposed optimal guidance law aims to minimize the change rate of pseudo-curvature, which is defined as a curvature with weighting factors based on the flight-path angle and range to go. The analysis shows that the trajectories generated by this nonlinear guidance law have a simple polynomial form with respect to downrange. Numerical simulations demonstrate that the cost function parameter can be used to shape the trajectories along the downrange.https://www.mdpi.com/2227-7390/11/4/974impact-angle-control guidancecurvatureoptimal guidance |
| spellingShingle | Kyoung-Rok Song In-Soo Jeon Impact-Angle-Control Guidance Law with Terminal Constraints on Curvature of Trajectory Mathematics impact-angle-control guidance curvature optimal guidance |
| title | Impact-Angle-Control Guidance Law with Terminal Constraints on Curvature of Trajectory |
| title_full | Impact-Angle-Control Guidance Law with Terminal Constraints on Curvature of Trajectory |
| title_fullStr | Impact-Angle-Control Guidance Law with Terminal Constraints on Curvature of Trajectory |
| title_full_unstemmed | Impact-Angle-Control Guidance Law with Terminal Constraints on Curvature of Trajectory |
| title_short | Impact-Angle-Control Guidance Law with Terminal Constraints on Curvature of Trajectory |
| title_sort | impact angle control guidance law with terminal constraints on curvature of trajectory |
| topic | impact-angle-control guidance curvature optimal guidance |
| url | https://www.mdpi.com/2227-7390/11/4/974 |
| work_keys_str_mv | AT kyoungroksong impactanglecontrolguidancelawwithterminalconstraintsoncurvatureoftrajectory AT insoojeon impactanglecontrolguidancelawwithterminalconstraintsoncurvatureoftrajectory |