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Cooperative line-of-sight guidance strategy with prescribed performance and input saturation against active defensive aircraft in two-on-two engagement

Published online by Cambridge University Press:  24 January 2025

X. Wang
Affiliation:
Control and Simulation Center, Harbin Institute of Technology, Harbin, China National Key Laboratory of Complex System Control and Intelligent Agent Cooperation, Harbin, China
T. Chao
Affiliation:
Control and Simulation Center, Harbin Institute of Technology, Harbin, China National Key Laboratory of Complex System Control and Intelligent Agent Cooperation, Harbin, China
M. Hou
Affiliation:
Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, China
S. Wang
Affiliation:
Control and Simulation Center, Harbin Institute of Technology, Harbin, China National Key Laboratory of Complex System Control and Intelligent Agent Cooperation, Harbin, China
M. Yang*
Affiliation:
Control and Simulation Center, Harbin Institute of Technology, Harbin, China National Key Laboratory of Complex System Control and Intelligent Agent Cooperation, Harbin, China
*
Corresponding author: M. Yang; Email: myang_hitcsc@163.com

Abstract

This paper considers the guidance issue for attackers against aircraft with active defense in a two-on-two engagement, which includes an attacker, a protector, a defender and a target. A cooperative line-of-sight guidance scheme with prescribed performance and input saturation is proposed utilising the sliding mode control and line-of-sight guidance theories, which guarantees that the attacker is able to capture the target with the assistance of the protector remaining on the line-of-sight between the defender and the attacker in order to intercept the defender. A fixed-time prescribed performance function and first-order anti-saturation auxiliary variable are designed in the game guidance strategy to constrain the overshoot of the guidance variable and satisfy the requirement of an overload manoeuver. The proposed guidance strategy alleviates the influence of external disturbance by implementing a fixed-time observer and the chattering phenomenon caused by the sign function. Finally, nonlinear numerical simulations verify the cooperative guidance strategies.

Type
Research Article
Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of Royal Aeronautical Society

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References

Xiong, S.F., Wang, W.H., Liu, X.D., Wang, S. and Chen, Z.Q. Guidance law against maneuvering targets with intercept angle constraint, ISA Trans., 2014, 53, pp 13321342.CrossRefGoogle ScholarPubMed
Wang, Z.K., Fu, W.X., Fang, Y.W., Zhu, S.P., Wu, Z.H. and Wang, M.G. Prescribed-time cooperative guidance law against maneuvering target based on leader-following strategy, ISA Trans., 2022, 129, pp 257270.CrossRefGoogle ScholarPubMed
Asher, R.B. and Matuszewski, J.P. Optimal guidance with maneuvering targets, J. Spacecraft Rockets, 1974, 11, (3), pp 204206.CrossRefGoogle Scholar
Faruqi, F.A. Differential Game Theory with Applications to Missiles And Autonomous Systems Guidance, John Wiley and Sons Limited, 2017, pp 102103.CrossRefGoogle Scholar
Isaacs, R. Differential Games: A Mathematical Theory with Applications to Warfare and Pursuit, Control and Optimization, New York, NY, USA, 1965.Google Scholar
Perelman, A., Shima, T. and Rusnak, I. Cooperative differential games strategies for active aircraft protection from a homing missile, J. Guid. Control Dyn., 2011, 34, (3), pp 761773.CrossRefGoogle Scholar
Sinha, A., Kumar, S.R. and Mukherjee, D. Three-agent time-constrained cooperative Pursuit-Evasion, J. Intell. Rob. Syst., 2022, 104, (2), pp 128.CrossRefGoogle Scholar
Singh, S.K. and Puduru, P.V. Dynamic network analysis of a target defense differential game with limited observations, IEEE Trans. Control Netw., 2023, 10, (1), pp 308320.CrossRefGoogle Scholar
Liang, H.Z., Wang, J.Y., Wang, Y.H., Wang, Y.H., Wang, L.L. and Liu, P. Optimal guidance against active defense ballistic missiles via differential game strategies, Chin. J. of Aeronaut., 2020, 33, (3), pp 978989.CrossRefGoogle Scholar
Liang, H.Z., Li, Z., Wu, J.Z., Zheng, Y., Chu, H.Y. and Wang, J.Y. Optimal guidance laws for a hypersonic multiplayer pursuit-evasion game based on a differential game strategy, Aerospace, 2022, 9, (2), pp 117.CrossRefGoogle Scholar
Liu, F., Dong, X.W., Li, Q.D. and Ren, Z. Cooperative differential games guidance strategies for multiple attackers against an active defense target, Chin. J. Aeronaut., 2022, 35, (5), pp 374389.CrossRefGoogle Scholar
Yan, T., Cai, Y.L. and Xu, B. Evasion guidance algorithms for air-breathing hypersonic vehicles in three-plyer pursuit-evasion game, Chin. J. Aeronaut., 2020, 33, (12), pp 34233436.CrossRefGoogle Scholar
Tang, X., Ye, D., Huang, L., Sun, Z.W. and Sun, J.Y. Pursuit-evasion game switching strategies for spacecraft with incomplete-information, Aerosp. Sci. Technol., 2021, 119, pp 120.CrossRefGoogle Scholar
Liu, F., Dong, X.W., Li, Q.D. and Ren, Z. Robust multi-agent differential games with application to cooperative guidance, Aerosp. Sci. Technol., 2021, 111, pp 120.CrossRefGoogle Scholar
Cheng, L. and Yuan, Y. Adaptive multi-player pursuit–evasion games with unknown general quadratic objectives, ISA Trans., 2022, 131, pp 7382.CrossRefGoogle ScholarPubMed
Wang, S.B., Guo, Y., Wang, S.C., Liu, Z.G. and Zhang, S. Cooperative interception with fast multiple model adaptive estimation, Def. Technol., 2021, 17, (6), pp 19051917.CrossRefGoogle Scholar
Yamasaki, T. and Balakrishnan, S.N. Triangle intercept guidance for aerial defense, AIAA Guidance, Navigation, and Control Conference, 2010, pp 78–76.CrossRefGoogle Scholar
Yamasaki, T. and Balakrishnan, S.N. Intercept guidance for cooperative aircraft defense against a guided missile, IFAC Proc. Volumes, 2010, 43, (15), pp 118123.CrossRefGoogle Scholar
Kumar, S. and Dwaipayan, M. Cooperative active aircraft protection guidance using line-of-sight approach, IEEE Trans. Aerospace Electron. Syst., 2021, 57, (2), pp 957967.CrossRefGoogle Scholar
Kumar, S. and Dwaipayan, M. Cooperative guidance strategies for active aircraft protection, Proceedings of the American Control Conference, 2019, pp 46414646.CrossRefGoogle Scholar
Luo, H.B., Tan, G.Y., Yan, H., Wang, X.H. and Ji, H.B. Cooperative line-of-sight guidance with optimal evasion strategy for three-body confrontation, ISA Trans., 2022, pp 111.Google ScholarPubMed
Luo, H.B., Ji, H.B. and Wang, X.H. Cooperative robust line-of-sight guidance law based on high-gain observers for active defense, Int. J. Robust Nonlin., 2023, 33, (16), pp 96029617.CrossRefGoogle Scholar
Tan, G.Y., Luo, H.B., Ji, H.B., Liao, F. and Wu, W.H. Cooperative line-of-sight guidance laws for active aircraft defense in three-dimensional space, Proceedings of the 40th Chinese Control Conference, Shanghai China, 2021, pp 35353540.CrossRefGoogle Scholar
Liu, S., Wang, Y., Li, Y., Yan, B. and Zhang, T. Cooperative guidance for active defence based on line-of-sight constraint under a low-speed ratio, Aeronaut. J., 2023, 127, (1309), pp 491509.CrossRefGoogle Scholar
Chen, C.D., Wang, J. and Huang, P. Optimal cooperative line-of-sight guidance for defending a guided missile, Aerospace, 2022, 9, (5), 232.Google Scholar
Han, T., Hu, Q.L., Wang, Q.Y., Xin, M. and Shin, H.S. Constrained 3-D trajectory planning for aerial vehicles without range measurement, IEEE Trans. Syst. Man Cybern. Syst., 2024, 54, (10), pp 60016013.CrossRefGoogle Scholar
Liu, S.X., Lin, Z.H., Wei, H. and Yan, B.B. Current development and future prospects of multi-target assignment problem: A bibliometric analysis review, Def. Technol., 2024.Google Scholar
Liu, S.X., Lin, Z.H., Wang, Y.C., Huang, W., Yan, B.B. and Li, Y. Three-body cooperative active defense guidance law with overload constraints: A small speed ratio perspective, Chin. J. Aeronaut., 2025, 38, (2), 103171.CrossRefGoogle Scholar
Tan, Z.W., Fonod, R. and Shima, T. Cooperative guidance law for target pair to lure two pursuers into collision, J. Guid. Control Dyn., 2018, 41, (8), pp 16871699.CrossRefGoogle Scholar
Manoharan, A. and Sujit, P.B. NMPC-based cooperative strategy to lure two attackers into collision by two targets, IEEE Control Syst. Lett., 2023, 7, pp 496501.CrossRefGoogle Scholar
Liang, H.Z., Wang, J.Y., Liu, J.Q. and Liu, P. Guidance strategies for interceptor against active defense spacecraft in two-on-two engagement, Aerosp. Sci. Technol., 2020, 96, pp 110.CrossRefGoogle Scholar
Zhuang, M.L., Tan, L.G., Li, K.H. and Song, S.M. Fixed-time formation control for spacecraft with prescribed performance guarantee under input saturation, Aerosp. Sci. Technol., 2021, 119, p 107176.CrossRefGoogle Scholar
Truong, T.N., Vo, A.T. and Kang, H.J. A model-free terminal sliding mode control for robots: Achieving fixed-time prescribed performance and convergence, ISA Trans., 2024, 144, pp 330341.CrossRefGoogle ScholarPubMed
Zhang, Y.C., Wu, G.Q., Yang, X.Y. and Song, S.M. Appointed-time prescribed performance control for 6-DOF spacecraft rendezvous and docking operations under input saturation, Aerosp. Sci. Technol., 2022, 128, p 107744.CrossRefGoogle Scholar
Li, H.J., Liu, Y.H., Li, K.B. and Liang, Y.G. Analytical prescribed performance guidance with field-of-view and impact-angle constraints, J. Guid. Control Dyn., 2024, 47, (4), pp 728741.CrossRefGoogle Scholar
Shima, T., Idan, M. and Golan, O.M. Sliding-mode control for integrated missile autopilot guidance, J. Guid. Control Dyn., 2006, 29, (2), pp 250260.CrossRefGoogle Scholar
Bryson, E. and Ho, C.Y. Applied Optimal Control, Blaisdell, 1969, Waltham, pp 154155, 282289.Google Scholar
Kumar, S. and Shima, T. Cooperative nonlinear guidance strategies for aircraft defense, J. Guid. Control Dyn., 2017, 40, (1), pp 124138.CrossRefGoogle Scholar
Ma, H., Zhou, Q., Li, H.Y. and Lu, R.Q. Adaptive prescribed performance control of a flexible-joint robotic manipulator with dynamic uncertainties, IEEE Trans. Cybern., 2022, 52, (12), pp 1290512915.CrossRefGoogle ScholarPubMed
Michael, B., Chandrasekhara, B.P. and Yuri, S. Multivariable continuous fixed-time second-order sliding mode control: design and convergence time estimation, IET Contr. Theory Appl., 2017, 11, (8), pp 11041111.Google Scholar
Zou, Z. and Tie, Y.L. Distributed robust finite-time nonlinear consensus protocols for multi-agent systems, Int. J. Syst. Sci., 2016, 47, (6), pp 13661375.Google Scholar
Zhang, X.Y., Dong, F. and Zhang, P. A new three-dimensional fixed time sliding mode guidance with terminal angle constraints, Aerosp. Sci. Technol., 2022, 121, p 107370.CrossRefGoogle Scholar
Sun, Q.L., Qi, N.M. and Hou, M.Y. Optimal strategy for target protection with a defender in the pursuit-evasion scenario, J. Def. Model. Simul. Appl. Methodol. Technol., 2018, 15, (3), pp 289301.Google Scholar