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Fixed-Time Convergent Guidance Law with Impact Angle Control

Author

Listed:
  • Zhongtao Cheng
  • Hao Wu
  • Bo Wang
  • Lei Liu
  • Yongji Wang

Abstract

The existing convergence control guidance laws are designed via the Lyapunov asymptotic stability theory or finite-time stability theory. However, guidance law based on the Lyapunov asymptotic stability theory would lead the states to zero only as time approaches infinity, which is imperfect theory. The convergence time for guidance laws based on finite-time stable theory is dependent on the initial states. A fixed-time convergent guidance law with impact angle control is proposed in this paper. The proposed guidance law consists of two parts. One is the heading error angle shaping term, and the other is the bias term to achieve the desired impact angle. The guidance command is continuous during the engagement without utilizing the switching logics. Unlike the existing guidance law in the literature, the fixed-time stability theory is utilized to ensure the impact angle error to converge to zero before the interception. Furthermore, the convergence rate is merely related to control parameters. Simulations are carried out to illustrate the effectiveness of the proposed guidance law.

Suggested Citation

  • Zhongtao Cheng & Hao Wu & Bo Wang & Lei Liu & Yongji Wang, 2020. "Fixed-Time Convergent Guidance Law with Impact Angle Control," Complexity, Hindawi, vol. 2020, pages 1-9, May.
    • Handle: RePEc:hin:complx:5019689
    DOI: 10.1155/2020/5019689
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    Cited by:

    1. Xinghui Yan & Minchi Kuang & Jihong Zhu, 2020. "A Geometry-Based Guidance Law to Control Impact Time and Angle under Variable Speeds," Mathematics, MDPI, vol. 8(6), pages 1-18, June.

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