IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i9p2090-d1135026.html
   My bibliography  Save this article

A Novel Fixed-Time Convergence Guidance Law against Maneuvering Targets

Author

Listed:
  • Yaosong Long

    (School of Aerospace Engineering, Huazhong University of Science and Technology, Wuhan 430074, China)

  • Chao Ou

    (School of Aerospace Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
    Aerospace Technology Institute of China Aerodynamics Research and Development Center, Mianyang 621000, China)

  • Chengjun Shan

    (School of Aerospace Engineering, Huazhong University of Science and Technology, Wuhan 430074, China)

  • Zhongtao Cheng

    (School of Aerospace Engineering, Huazhong University of Science and Technology, Wuhan 430074, China)

Abstract

In this paper, a new fixed-time convergence guidance law is proposed against maneuvering targets in the three-dimensional (3-D) engagement scenario. The fixed-time stability theory is used to zero the line-of-sight (LOS) angle rate, which will ensure the collision course and the impact of the target. It is proven that the convergence of the LOS angle rate can be achieved before the final impact time of the guidance process, regardless of the initial conditions. Furthermore, the convergence rate is merely related to control parameters. In theoretical analysis, the convergence rate and upper bound are compared with that of other laws to show the potential advantages of the proposed guidance law. Finally, simulations are carried out to illustrate the effectiveness and robustness of the proposed guidance law.

Suggested Citation

  • Yaosong Long & Chao Ou & Chengjun Shan & Zhongtao Cheng, 2023. "A Novel Fixed-Time Convergence Guidance Law against Maneuvering Targets," Mathematics, MDPI, vol. 11(9), pages 1-15, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:9:p:2090-:d:1135026
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/9/2090/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/9/2090/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Zongyu Zuo & Lin Tie, 2016. "Distributed robust finite-time nonlinear consensus protocols for multi-agent systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(6), pages 1366-1375, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Cai, Yuliang & Dai, Jing & Zhang, Huaguang & Wang, Yingchun, 2021. "Fixed-time leader-following/containment consensus of nonlinear multi-agent systems based on event-triggered mechanism," Applied Mathematics and Computation, Elsevier, vol. 396(C).
    2. Cui, Guozeng & Xu, Hui & Yu, Jinpeng & Ma, Jiali & Li, Ze, 2023. "Fixed-time distributed adaptive attitude control for multiple QUAVs with quantized input," Applied Mathematics and Computation, Elsevier, vol. 449(C).
    3. Gao, Shuo & Wen, Guoguang & Zhai, Xiaoqin & Zheng, Peng, 2023. "Finite-/fixed-time bipartite consensus for first-order multi-agent systems via impulsive control," Applied Mathematics and Computation, Elsevier, vol. 442(C).
    4. Zhiyong Luo & Hongliang Liu & Zigen Ouyang, 2023. "Fixed-Time Formation Tracking Control of Nonlinear Multi-Agent Systems with Directed Topology and Disturbance," Mathematics, MDPI, vol. 11(13), pages 1-17, June.
    5. Shafaat Ullah & Laiq Khan & Irfan Sami & Ghulam Hafeez & Fahad R. Albogamy, 2021. "A Distributed Hierarchical Control Framework for Economic Dispatch and Frequency Regulation of Autonomous AC Microgrids," Energies, MDPI, vol. 14(24), pages 1-23, December.
    6. Zhang, Wanli & Yang, Xinsong & Yang, Shiju & Alsaedi, Ahmed, 2021. "Finite-time and fixed-time bipartite synchronization of complex networks with signed graphs," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 319-329.
    7. Xing, Ying & He, Xinyi & Li, Xiaodi, 2023. "Lyapunov conditions for finite-time stability of disturbed nonlinear impulsive systems," Applied Mathematics and Computation, Elsevier, vol. 440(C).
    8. Hu, Jingting & Sui, Guixia & Li, Xiaodi, 2020. "Fixed-time synchronization of complex networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    9. Runze Chen & Zhenling Wang & Weiwei Che, 2022. "Adaptive Sliding Mode Attitude-Tracking Control of Spacecraft with Prescribed Time Performance," Mathematics, MDPI, vol. 10(3), pages 1-18, January.
    10. Yilun Shang & Yamei Ye, 2017. "Leader-Follower Fixed-Time Group Consensus Control of Multiagent Systems under Directed Topology," Complexity, Hindawi, vol. 2017, pages 1-9, March.
    11. Guo, Wanli & He, Wennuo & Shi, Lili & Sun, Wen & Lu, Xiaoqing, 2021. "Fixed-time consensus tracking for nonlinear stochastically disturbed multi-agent systems via discontinuous protocols," Applied Mathematics and Computation, Elsevier, vol. 400(C).
    12. Dutta, Maitreyee & Roy, Binoy Krishna, 2021. "A new memductance-based fractional-order chaotic system and its fixed-time synchronisation," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    13. Kanchanaharuthai, Adirak & Mujjalinvimut, Ekkachai, 2022. "Fixed-time command-filtered backstepping control design for hydraulic turbine regulating systems," Renewable Energy, Elsevier, vol. 184(C), pages 1091-1103.
    14. Shirkavand, Mehrdad & Pourgholi, Mahdi, 2018. "Robust fixed-time synchronization of fractional order chaotic using free chattering nonsingular adaptive fractional sliding mode controller design," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 135-147.
    15. Luke Li & Dongshu Wang, 2022. "On Finite/Fixed-Time Stability Theorems of Discontinuous Differential Equations," Mathematics, MDPI, vol. 10(13), pages 1-14, June.
    16. Mohamed Zaery & Panbao Wang & Wei Wang & Dianguo Xu, 2022. "A Novel Optimal Power Allocation Control System with High Convergence Rate for DC Microgrids Cluster," Energies, MDPI, vol. 15(11), pages 1-22, May.
    17. Youhao Hu & Bowang Zhang & Weikang Hu & Wei Han, 2023. "ELM-Based Adaptive Practical Fixed-Time Voltage Regulation in Wireless Power Transfer System," Energies, MDPI, vol. 16(3), pages 1-19, January.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:9:p:2090-:d:1135026. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.