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Prescribed-time cooperative guidance with time delay

Published online by Cambridge University Press:  23 November 2022

W. Ma Open the ORCID record for W. Ma [Opens in a new window] ,
W. Fu Open the ORCID record for W. Fu [Opens in a new window] ,
Y. Fang Open the ORCID record for Y. Fang [Opens in a new window] ,
S. Liu Open the ORCID record for S. Liu [Opens in a new window]  and
X. Liang
W. Ma
Affiliation:
School of Automation, Northwestern Polytechnical University, Xi’an, China
W. Fu*
Affiliation:
Unmanned System Research Institute, Northwestern Polytechnical University, Xi’an, China
Y. Fang
Affiliation:
Unmanned System Research Institute, Northwestern Polytechnical University, Xi’an, China
S. Liu
Affiliation:
Unmanned System Research Institute, Northwestern Polytechnical University, Xi’an, China
X. Liang
Affiliation:
School of Automation, Northwestern Polytechnical University, Xi’an, China Luoyang Optoelectro Technology Development Center, Luoyang, China
*
*Correspondence author. Email: wenxingfu@nwpu.edu.cn
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Abstract

In view of the cooperative guidance problem with time delay, this paper proposes a two-stage time-delay prescribed-time cooperative guidance law in the three-dimensional (3D) space. In the first stage, by introducing a time scaling function and time-delay consensus, the proposed cooperative guidance law can overcome the negative influence of time delay to guaranteed the desired convergence performance. Derived from the Lyapunov convergence analysis, the time-delay stability of the first stage can be ensured and the convergence time can be described as the relationship between delayed time and mission-assigned convergence time. Then, taking the prescribed-time-related convergence time as the switching point, the second stage begins with suitable initial conditions and all interceptors are governed by proportional navigation guidance. Finally, comparative simulations are performed to demonstrate the effectiveness and superiority of the proposed time-delay guidance law.

Keywords

Cooperative guidancePrescribed-time consensusTime delayPinning control

Information

Type
Research Article
Information
The Aeronautical Journal , Volume 127 , Issue 1311 , May 2023 , pp. 852 - 875
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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

An, K., Guo, Z.Y., Huang, W. and Xu, X.P. Leap trajectory tracking control based on sliding mode theory for hypersonic gliding vehicle, J. Zhejiang Univ. Sci. A, 2022, 23, (3), pp 188–207.CrossRefGoogle Scholar
Han, T., Hu, Q., Shin, H.S., Tsourdos, A. and Xin, M. Sensor-based robust incremental three-dimensional guidance law with terminal angle constraint, J. Guidance Control Dyn., 2021, 44, (11), pp 2016–2030.CrossRefGoogle Scholar
Song, S.H. and Ha, I.J. A Lyapunov-like approach to performance analysis of 3-dimensional pure PNG laws, IEEE Trans. Aerospace Electron. Syst., 1994, 30, (1), pp 238–248.CrossRefGoogle Scholar
Han, T., Shin, H.S., Hu, Q., Tsourdos, A. and Xin, M. Differentiator-based incremental three-dimensional terminal angle guidance with enhanced robustness, IEEE Trans. Aerospace Electron. Syst., 2022, 58, (5), 4020–4032.CrossRefGoogle Scholar
Zhang, T., Yan, X., Huang, W., Che, X. and Wang, Z. Multidisciplinary design optimization of a wide speed range vehicle with waveride airframe and RBCC engine, Energy, 2021, 235, p 121386.CrossRefGoogle Scholar
Zhang, T., Yan, X., Huang, W., Che, X., Wang, Z. and Lu, E. Design and analysis of the air-breathing aircraft with the full-body wave-ride performance, Aerospace Sci. Technol., 2021, 119, p 107133.CrossRefGoogle Scholar
An, K., Guo, Z.Y., Xu, X.P. and Huang, W. A framework of trajectory design and optimization for the hypersonic gliding vehicle, Aerospace Sci. Technol., 2020, 106, p 106110.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
Lee, J.I., Jeon, I.S. and Tahk, M.J. Guidance law to control impact time and angle, IEEE Trans. Aerospace Electron. Syst., 2007, 43, (1), pp 301–310.Google Scholar
Jeon, I.S., Lee, J.I. and Tahk, M.J. Homing guidance law for cooperative attack of multiple missiles, J. Guidance Control Dyn., 2010, 33, (1), pp 275–280.CrossRefGoogle Scholar
Sinha, A. and Kumar, S.R. Supertwisting control-based cooperative salvo guidance using leader–follower approach, IEEE Trans. Aerospace Electron. Syst., 2020, 56, (5), pp 3556–3565.CrossRefGoogle Scholar
Kumar, S.R. and Mukherjee, D. Cooperative salvo guidance using finite-time consensus over directed cycles, IEEE Trans. Aerospace Electron. Syst., 2019, 56, (2), 1504–1514.CrossRefGoogle Scholar
Mukherjee, D. and Kumar, S.R. Field-of-view constrained impact time guidance against stationary targets, IEEE Trans. Aerospace Electron. Syst., 2021, 57, (5), 3296–3306.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
Zhaohui, L., Yuezu, L. and Jialing, Z. Cooperative guidance law design on simultaneous attack for multiple missiles under time-delayed communication topologies, 2019 IEEE Symposium Series on Computational Intelligence (SSCI), IEEE, 2019, pp. 2006–2011.CrossRefGoogle Scholar
Zhang, C., Song, J. and Huang, L. The time-to-go consensus of multi-missiles with communication delay, 2017 36th Chinese Control Conference (CCC), IEEE, 2017, pp 7634–7638.CrossRefGoogle Scholar
Wu, Z., Ren, Q., Luo, Z., Fang, Y. and Fu, W. (2021). Cooperative midcourse guidance law with communication delay, Int. J. Aerospace Eng., 2021. doi: 10.1155/2021/3460389.CrossRefGoogle Scholar
He, S., Kim, M., Song, T. and Lin, D. Three-dimensional salvo attack guidance considering communication delay, Aerospace Sci. Technol., 2018, 73, pp 1–9.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, 126, (1300), pp 1026–1044.CrossRefGoogle Scholar
An, K., Guo, Z.Y., Huang, W. and Xu, X.P. A cooperative guidance approach based on the finite-time control theory for hypersonic vehicles, Int. J. Aeronaut. Space Sci., 2022, 23, (1), pp 169–179.CrossRefGoogle Scholar
Song, J., Song, S. and Xu, S. Three-dimensional cooperative guidance law for multiple missiles with finite-time convergence, Aerospace Sci. Technol., 2017, 67, pp 193–205.CrossRefGoogle Scholar
Zhang, S., Guo, Y., Liu, Z., Wang, S. and Hu, X. Finite-time cooperative guidance strategy for impact angle and time control, IEEE Trans. Aerospace Electron. Syst., 2020, 57, (2), pp 806–819.CrossRefGoogle Scholar
Ma, S., Wang, X., Wang, Z. and Chen, Q. Consensus-based finite-time cooperative guidance with field-of-view constraint, Int. J. Aeronaut. Space Sci., 2022, pp 1–14. doi: 10.1007/s42405-022-00473-4.Google Scholar
Yu, H., Dai, K., Li, H., Zou, Y., Ma, X., Ma, S. and Zhang, H. Distributed cooperative guidance law for multiple missiles with input delay and topology switching, J. Franklin Inst. , 2021, 358, (17), 9061–9085.CrossRefGoogle Scholar
Lin, M., Ding, X., Wang, C., Liang, L. and Wang, J. Three-dimensional fixed-time cooperative guidance law with impact angle constraint and prespecified impact time, IEEE Access, 2021, 9, pp 29755–29763.CrossRefGoogle Scholar
Chen, Z., Chen, W., Liu, X. and Cheng, J. Three-dimensional fixed-time robust cooperative guidance law for simultaneous attack with impact angle constraint, Aerospace Sci. Technol., 2021, 110, p 106523.CrossRefGoogle Scholar
Zhang, P. and Zhang, X. Multiple missiles fixed-time cooperative guidance without measuring radial velocity for maneuvering targets interception. ISA Trans., 2022, 126, 388–397.CrossRefGoogle Scholar
Zhang, Y., Tang, S. and Guo, J. Two-stage cooperative guidance strategy using a prescribed-time optimal consensus method, Aerospace Sci. Technol., 2020, 100, p 105641.CrossRefGoogle Scholar
Chen, Y., Wang, J., Wang, C., Shan, J. and Xin, M. Three-dimensional cooperative homing guidance law with field-of-view constraint, J. Guidance Control Dyn., 2020, 43, (2), pp 389–397.CrossRefGoogle Scholar
He, S., Wang, W., Lin, D. and Lei, H. Consensus-based two-stage salvo attack guidance, IEEE Trans. Aerospace Electron. Syst., 2017, 54, (3), pp 1555–1566.CrossRefGoogle Scholar
Liao, X. and Ji, L. On pinning group consensus for dynamical multi-agent networks with general connected topology, Neurocomputing, 2014, 135, pp 262–267.CrossRefGoogle Scholar
Golub, G.H. and Van Loan, C.F. Matrix Computations, 4th ed, The Johns Hopkins University Press, Baltimore, Maryland. 2013.CrossRefGoogle Scholar
Ren, Y., Zhou, W., Li, Z., Liu, L. and Sun, Y. Prescribed-time cluster lag consensus control for second-order non-linear leader-following multiagent systems, ISA Trans., 2021, 109, pp 49–60.CrossRefGoogle ScholarPubMed
Ji, L., Liu, Q. and Liao, X. On reaching group consensus for linearly coupled multi-agent networks, Inf. Sci., 2014, 287, pp 1–12.CrossRefGoogle Scholar
Ma, W., Liang, X., Fang, Y., Deng, T. and Fu, W. Three-dimensional prescribed-time pinning group cooperative guidance law, Int. J. Aerospace Eng., 2021, 2021. doi: 10.1155/2021/4490211.CrossRefGoogle Scholar