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Integration of CFO-based three-dimensional target manoeuver compensation guidance rate and transition region optimisation algorithm

Published online by Cambridge University Press:  13 February 2025

G.Y. Qi Open the ORCID record for G.Y. Qi [Opens in a new window] ,
X.L. Zhang Open the ORCID record for X.L. Zhang [Opens in a new window] ,
L.Y. Li Open the ORCID record for L.Y. Li [Opens in a new window] ,
S.S. Wang  and
H.Y. Zhang Open the ORCID record for H.Y. Zhang [Opens in a new window]
G.Y. Qi
Affiliation:
School of Control Science and Engineering, Tiangong University, Tianjin, China
X.L. Zhang
Affiliation:
School of Control Science and Engineering, Tiangong University, Tianjin, China
L.Y. Li*
Affiliation:
School of Control Science and Engineering, Tiangong University, Tianjin, China Key Laboratory of UAV Emergency Rescue Technology, Ministry of Emergency Management, China
S.S. Wang
Affiliation:
School of Control Science and Engineering, Tiangong University, Tianjin, China
H.Y. Zhang
Affiliation:
The National Research Base of Intelligent Manufacturing Service, Chongqing Technology and Business University, Chongqing, China
*
Corresponding author: L.Y. Li; Email: liliya@tiangong.edu.cn
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Abstract

To address the challenges of high-manoeuver targets and limited line-of-sight from the interceptor’s side window, this paper proposes a three-dimensional target manoeuver compensation control (TMCC) guidance law based on compensation function observe (CFO) and a method for studying the terminal guidance handover region. First, a relative model of the missile-target engagement is established. Secondly, the CFO is used to estimate the target manoeuver state, and the estimated information is fed back to the controller of the orbit control engine to make the interception more accurate. Considering the limited line of sight of the side window, the body line of sight angle is constrained by controlling the attitude control engine. Then, the problem description for solving the handover area and the definition of the terminal guidance handover area were provided, and the algorithm design for the handover area was conducted, simplifying the solving process through the concept of area substitution. Simulation results indicate that the proposed terminal guidance law offers higher interception accuracy compared to traditional proportional guidance, and effectively validates the accuracy of the handover region calculation.

Keywords

terminal guidancemid-course and terminal handovermaneuver compensation controlinterceptor

Information

Type
Research Article
Information
The Aeronautical Journal , Volume 129 , Issue 1337 , July 2025 , pp. 1750 - 1763
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Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of Royal Aeronautical Society

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References

Chen, Y., Fang, Y.Z., Han, T. and Hu, Q.L. Incremental guidance method of kinetic energy interceptor based on target maneuver compensation, J. Beijing Univ. Aeronaut. Astronaut., 2024, 50, (3), pp 831–838.Google Scholar
Yao, Y., Zheng, T.Y., He, F.H., Wang, L., Wang, Y., Zhang, X., Zhu, B.Y. and Yang, B.Q. Several hot issues and challenges in aircraft terminal guidance, Acta Aeronaut. Astronaut. Sinica, 2015, 8, (3), pp 2696–2716.Google Scholar
Adler, F.P. Missile guidance by three-dimensional proportional navigation, J. Appl. Phys, 1956, 27, (5), pp 500–507.CrossRefGoogle Scholar
Jeon, I.S., Karpenko, M. and Lee, J.I. Connections between proportional navigation and terminal velocity maximization guidance, J. Guid. Control Dyn., 2020, 43, (2), pp 383–388.CrossRefGoogle Scholar
Paul, N. and Ghose, D. Qualitative analysis of variable speed proportional navigation guidance law, AIAA SCITECH, 2024, pp 1988.Google Scholar
Ulybyshev, Y. Terminal guidance law based on proportional navigation, J. Guid. Control Dyn., 2005, 28, (4), pp 821–824.CrossRefGoogle Scholar
Zhang, B.L. and Zhou, D. Optimal predictive sliding-mode guidance law for intercepting near-space hypersonic maneuvering target, Chin. J. Aeronaut., 2022, 35, (4), pp 320–331.CrossRefGoogle Scholar
Mian, G., Zhou, S.T. and Zhou, D. Optimal sliding mode guidance law against maneuvering target with impact angle constraint, J. Aerospace Eng., 2024, 238, (5), pp 513–528.Google Scholar
Zhan, Y., Li, S. and Zhou, D. Time-to-go based three-dimensional multi-missile spatio-temporal cooperative guidance law: A novel approach for maneuvering target interception, ISA Trans., 2024, 149, pp 178–195.CrossRefGoogle Scholar
Luo, H.B., Tan, G.Y., Wang, X.H. and Ji, H.B. Cooperative line-of-sight guidance with optimal evasion strategy for three-body confrontation, ISA Trans., 2023, 133, pp 262–272.CrossRefGoogle ScholarPubMed
Kumar, S.R. and Ghose, D. Three-dimensional impact angle guidance with coupled engagement dynamics, J. Aerospace Eng., 2017, 231, (4), pp 621–641.Google Scholar
Hu, Q.L., Han, T. and Xin, M. Three-dimensional guidance for various target motions with terminal angle constraints using twisting control, IEEE Trans. Ind. Electron., 2019, 67, (2), pp 1242–1253.CrossRefGoogle Scholar
Wang, X.H. and Lu, X. Three-dimensional impact angle constrained distributed guidance law design for cooperative attacks, ISA Trans., 2018, 73, pp 79–90.CrossRefGoogle ScholarPubMed
You, H., Chang, X.L., Zhao, J.F., Wang, S.H. and Zhang, Y.H. Three-dimensional impact-angle-constrained fixed-time cooperative guidance algorithm with adjustable impact time, Aerospace Sci. Technol., 2023, 141, pp 108574.CrossRefGoogle Scholar
Chen, Z.Y., Liu, X.M. and Chen, W.C. Three-dimensional event-triggered fixed-time cooperative guidance law against maneuvering target with the constraint of relative impact angles, J. Franklin Inst., 2023, 360, pp 3914–3966.CrossRefGoogle Scholar
Liu, S., Yan, B., Liu, R., Dai, P., Yan, J. and Xin, G. Cooperative guidance law for intercepting a hypersonic target with impact angle constraint, Aeronaut. J., 2022, 1300, pp 1026–1044.CrossRefGoogle Scholar
Sun, L.H., Wang, W.H., Yi, R. and Xiong, S.F. A novel guidance law using fast terminal sliding mode control with impact angle constraints, ISA Trans., 2016, 64, pp 12–23.CrossRefGoogle ScholarPubMed
Du, H., Yang, M., Wang, S. and Chao, T. Impact time guidance law for arbitrary lead angle using sliding mode control, ISA Trans., 2024, 96, (2), pp 307–315.Google Scholar
Zheng, Z.W., Li, J.Z. and Feroskhan, M. Three-dimensional terminal angle constraint guidance law with class K $ \propto $ function-based adaptive sliding mode control, Aerospace Sci. Technol., 2024, 147, pp 109005.CrossRefGoogle Scholar
Han, T., Hu, Q.F., Shin, H.S., Tsourdos, A. and Xin, M. Sensor-based robust incremental three-dimensional guidance law with terminal angle constraint, J. Guid. Control Dyn., 2016, 44, (11), pp 2016–2030.CrossRefGoogle Scholar
Han, T., Shin, H.S., Hu, Q.L., Tsourdos, A. and Xin, M. Differentiator-based incremental three-dimensional terminal angle guidance with enhanced robustness, IEEE Trans. Aerospace Electron. Syst., 2022, 58, (5) pp 4020–4032.CrossRefGoogle Scholar
Cho, N. and Kim, Y. Modified pure proportional navigation guidance law for impact time control, J. Guid. Control Dyn., 2016, 39, (4), pp 852–872.CrossRefGoogle Scholar
Chen, Y.D., Wang, J.N., Wang, C.Y., Shan, J.Y. and Xin, M. A modified cooperative proportional navigation guidance law, J. Franklin Inst., 2019, 356, (11), pp 5692–5705.CrossRefGoogle Scholar
Zhang, W.J. and Wang, B.M. A new guidance Law for impact angle constraints with time-varying navigation gain, Aeronaut. J., 2022, 126, (1304), pp 1752–1770.CrossRefGoogle Scholar
Wang, Y.N., Wang, H., Liu, D.F. and Wang, W. Nonlinear modified bias proportional navigation guidance law against maneuvering targets, J. Franklin Inst., 2022, 359, (7), pp 2949–2975.CrossRefGoogle Scholar
Su, W.S., Yao, D.N., Li, K.B. and Chen, L. A novel biased proportional navigation guidance law for close approach phase, Chin. J. Aeronaut., 2016, 29, (1), pp 228–237.CrossRefGoogle Scholar
Wu, T. and Wang, Z. Reinforcement learning-based adaptive spiral-diving manoeuver guidance method for reentry vehicles subject to unknown disturbances, Aeronaut. J., 2024, 128, (1328), pp 2218–2234.CrossRefGoogle Scholar
Prasanna, H.M. and Ghose, D. Retro-proportional-navigation: a new guidance law for interception of high speed targets, J. Guid. Control Dyn., 2012, 35, (2), pp 377–386.CrossRefGoogle Scholar
Qi, G.Y., Li, X. and Chen, Z.Q. Problems of extended state observer and proposal of compensation function observer for unknown model and application in uav, IEEE Trans. Syst. Man Cybern. Syst., 2021, 52, (5), pp 2899–2910.CrossRefGoogle Scholar
Qi, G.Y., Chen, Z.Q. and Yuan, Z.Z. High order differential feedback control for nonlinear systems, Eng. Sci., 2003, 5, (8), pp 35–44.Google Scholar