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Cooperative guidance law for intercepting a hypersonic target with impact angle constraint

Published online by Cambridge University Press:  17 January 2022

S. Liu Open the ORCID record for S. Liu [Opens in a new window] ,
B. Yan Open the ORCID record for B. Yan [Opens in a new window] ,
R. Liu ,
P. Dai ,
J. Yan  and
G. Xin
S. Liu
Affiliation:
Unmanned System Research Institute, Northwestern Polytechnical University, Xi’an710072, China
B. Yan*
Affiliation:
School of Astronautics, Northwestern Polytechnical University, Xi’an710072, China
R. Liu
Affiliation:
School of Astronautics, Northwestern Polytechnical University, Xi’an710072, China
P. Dai
Affiliation:
School of Astronautics, Northwestern Polytechnical University, Xi’an710072, China
J. Yan
Affiliation:
Unmanned System Research Institute, Northwestern Polytechnical University, Xi’an710072, China
G. Xin
Affiliation:
Aerospace System Engineering Shanghai, Shanghai201100, China
*
E-mail: [email protected]
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Abstract

The cooperative guidance problem of multiple inferior missiles intercepting a hypersonic target with the specific impact angle constraint in the two-dimensional plane is addressed in this paper, taking into consideration variations in a missile’s speed. The guidance law is designed with two subsystems: the direction of line-of-sight (LOS) and the direction of normal to LOS. In the direction of LOS, by applying the algebraic graph theory and the consensus theory, the guidance command is designed to make the system convergent in a finite time to satisfy the goal of cooperative interception. In the direction of normal to LOS, the impact angle is constrained to transform into the LOS angle at the time of interception. In view of the difficulty of measuring unknown target acceleration information in real scenarios, the guidance command is designed by utilising a super-twisting algorithm based on a nonsingular fast-terminal sliding mode (NFTSM) surface. Numerical simulation results manifest that the proposed guidance law performs efficiently and the guidance commands are free of chattering. In addition, the overall performance of this guidance law is assessed with Monte Carlo runs in the presence of measurement errors. The simulation results demonstrate that the robustness can be guaranteed, and that overall efficiency and accuracy in intercepting the hypersonic target are achieved.

Keywords

Cooperative guidanceConsensus theorySuper-twisting algorithmHypersonic targets
Type
Research Article
Information
The Aeronautical Journal , Volume 126 , Issue 1300 , June 2022 , pp. 1026 - 1044
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Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of Royal Aeronautical Society

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References

Bolender, M.A. (2009, June). An overview on dynamics and controls modelling of hypersonic vehicles. In 2009 American control conference (pp. 2507–2512). IEEE.CrossRefGoogle Scholar
An, H., Wu, Q., Wang, G., Guo, Z. and Wang, C. Simplified longitudinal control of air-breathing hypersonic vehicles with hybrid actuators. Aerosp. Sci. Technol., 2020, 104, pp 105936.CrossRefGoogle Scholar
Zhao, Z.T., Huang, W., Yan, L. and Yang, Y.G. An overview of research on wide-speed range waverider configuration. Prog. Aerosp. Sci., 2020, 113, pp 100606.CrossRefGoogle Scholar
Yan, B., Dai, P., Liu, R., Xing, M. and Liu, S. Adaptive super-twisting sliding mode control of variable sweep morphing aircraft. Aerosp. Sci. Technol., 2019, 92, pp 198–210.CrossRefGoogle Scholar
Zhao, Z.T., Huang, W., Yan, B.B., Yan, L., Zhang, T.T. and Moradi, R. Design and high speed aerodynamic performance analysis of vortex lift waverider with a wide-speed range. Acta Astronautica, 2018, 151, pp 848–863.CrossRefGoogle Scholar
Dai, P., Yan, B., Huang, W., Zhen, Y., Wang, M. and Liu, S. Design and aerodynamic performance analysis of a variable-sweep-wing morphing waverider. Aerosp. Sci. Technol., 2020, 98, pp 105703.CrossRefGoogle Scholar
Leng, J.X., Shen, Y., Zhang, T.T., Huang, W. and Yan, L. Parameterized modeling and optimization of reusable launch vehicles based on reverse design approach. Acta Astronautica, 2020, 178, pp 36–50.CrossRefGoogle Scholar
Xu, B. and Shi, Z. An overview on flight dynamics and control approaches for hypersonic vehicles. Sci. China Inf. Sci., 2015, 58, (7), pp 1–19.Google Scholar
Shiyu, Z. and Rui, Z. Cooperative guidance for multimissile salvo attack. Chinese J. Aeronaut., 2008, 21, (6), pp 533–539.CrossRefGoogle Scholar
Zhao, Q., Dong, X., Liang, Z. and Ren, Z. Distributed group cooperative guidance for multiple missiles with fixed and switching directed communication topologies. Nonlinear Dyn., 2017, 90, (4), pp 2507–2523.CrossRefGoogle Scholar
Nikusokhan, M. and Nobahari, H. Closed-form optimal cooperative guidance law against random step maneuver. IEEE Trans. Aerosp. Electron. Syst., 2016, 52, (1), pp 319–336.CrossRefGoogle Scholar
Zhang, Y., Ma, G. and Liu, A. Guidance law with impact time and impact angle constraints. Chinese J. Aeronaut., 2013, 26, (4), pp 960–966.CrossRefGoogle Scholar
Sinha, A. and Kumar, S.R. Supertwisting Control-Based Cooperative Salvo Guidance Using Leader–Follower Approach. IEEE Trans. Aerosp. Electron. Syst., 2020, 56, (5), pp 3556–3565.CrossRefGoogle Scholar
Zhang, C., Song, J., & Huang, L. (2017, July). The time-to-go consensus of multi-missiles with communication delay. In 2017 36th Chinese Control Conference (CCC) (pp. 7634–7638). IEEE.CrossRefGoogle Scholar
Chen, Y., Wang, J., Wang, C., Shan, J. and Xin, M. A modified cooperative proportional navigation guidance law. J. Franklin Inst., 2019, 356, (11), pp 5692–5705.CrossRefGoogle Scholar
Yan, P., Fan, Y., Liu, R. and Wang, M. Distributed target-encirclement guidance law for cooperative attack of multiple missiles. Int. J. Adv. Robot. Syst., 2020, 17, (3).CrossRefGoogle Scholar
Jeon, I.S., Lee, J.I. and Tahk, M.J. Impact-time-control guidance law for anti-ship missiles. IEEE Trans. Control Syst. Technol., 2006, 14, (2), pp 260–266.CrossRefGoogle Scholar
Zhou, J. and Yang, J. Distributed guidance law design for cooperative simultaneous attacks with multiple missiles. J. Guid. Control Dyn., 2016, 39, (10), pp 2439–2447.CrossRefGoogle Scholar
Biao, Y.A.N.G., Wuxing, J.I.N.G. and Changsheng, G.A.O. Three-dimensional cooperative guidance law for multiple missiles with impact angle constraint. J. Syst. Eng. Electron., 2020, 31, (6), pp 1286–1296.CrossRefGoogle Scholar
Zhang, W., Du, X. and Xia, Q. A Three-Dimensional Cooperative Guidance Law Based on Consensus Theory for Maneuvering Targets. Math. Probl. Eng., 2019, 2019.Google Scholar
Huang, J., Zhang, Y. and Liu, Y. A biased proportional guidance algorithm for moving target with impact angle and field-of-view constraints. J. Astronaut., 2016, 37, (2), pp 195–202.Google Scholar
You, H. and Zhao, F.J. Distributed synergetic guidance law for multiple missiles with angle-of-attack constraint. Aeronaut. J., 2020, 124, (1274), pp 533–548.CrossRefGoogle Scholar
Kumar, S.R., Rao, S. and Ghose, D. Sliding-mode guidance and control for all-aspect interceptors with terminal angle constraints. J. Guid. Control Dyn., 2012, 35, (4), pp 1230–1246.CrossRefGoogle Scholar
Zhou, J., Wang, Y. and Zhao, B. Impact-time-control guidance law for missile with time-varying velocity. Math. Probl. Eng., 2016, 2016.Google Scholar
Ma, S., Wang, X. and Wang, Z. Impact Time Control Guidance Law for Guided Projectile Considering Time-Varying Velocity. 2019 SICE International Symposium on Control Systems (SICE ISCS), 2019.Google Scholar
Li, B., Lin, D., Wang, J. and Tian, S. Guidance law to control impact angle and time based on optimality of error dynamics. Proc. Inst. Mech. Eng. G J. Aerosp. Eng., 2019, 233, (10), pp 3577–3588.CrossRefGoogle Scholar
Ren, W. and Cao, Y. Distributed coordination of multi-agent networks: emergent problems, models, and issues, Springer Science & Business Media, 2010 Google Scholar
Olfati-Saber, R. and Murray, R.M. Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans. Automat. Control, 2004, 49, (9), pp 1520–1533.CrossRefGoogle Scholar
Mei, J., Ren, W. and Ma, G. Distributed coordination for second-order multi-agent systems with nonlinear dynamics using only relative position measurements. Automatica, 2013, 49, (5), pp 1419–1427.CrossRefGoogle Scholar
Hong, Y., Xu, Y. and Huang, J. Finite-time control for robot manipulators. Syst. Control Lett., 2002, 46, (4), pp 243–253.CrossRefGoogle Scholar
Wang, X. and Hong, Y. Finite-time consensus for multi-agent networks with second-order agent dynamics. IFAC Proc. volumes, 2008, 41, (2), pp 15185–15190.CrossRefGoogle Scholar
Rosier, L. Homogeneous Lyapunov function for homogeneous continuous vector field. Syst. Control Lett., 1992, 19, (6), pp 467–473.CrossRefGoogle Scholar
Bhat, S.P. and Bernstein, D.S. Continuous finite-time stabilization of the translational and rotational double integrators. IEEE Trans. Automat. Control, 1998, 43, (5), pp 678–682.CrossRefGoogle Scholar
Wang, J., Zhao, Z. and Zheng, Y. NFTSM-based Fault Tolerant Control for Quadrotor Unmanned Aerial Vehicle with Finite-Time Convergence. IFAC-PapersOnLine, 2018, 51, (24), pp 441–446.Google Scholar
Vazquez, C., Collado, J. and Fridman, L. Super twisting control of a parametrically excited overhead crane. J. Franklin Inst., 2014, 351, (4), pp 2283–2298.CrossRefGoogle Scholar
Chalanga, A., Kamal, S., Fridman, L.M., Bandyopadhyay, B. and Moreno, J.A. Implementation of super-twisting control: Super-twisting and higher order sliding-mode observer-based approaches. IEEE Trans. Ind. Electron., 2016, 63, (6), pp 3677–3685.CrossRefGoogle Scholar
Bhat, S.P. and Bernstein, D.S. Finite-time stability of continuous autonomous systems. SIAM J. Control Optim., 2000, 38, (3), pp 751–766.CrossRefGoogle Scholar