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Acta Aeronautica et Astronautica Sinica ›› 2024, Vol. 45 ›› Issue (16): 329712-329712.doi: 10.7527/S1000-6893.2023.29712

• Electronics and Electrical Engineering and Control • Previous Articles    

Differential geometric guidance law design based on fixed⁃time convergent error dynamics method

Xianzong BAI1, Kebo LI2,3(), Haojian LI2,3, Wei DONG4   

  1. 1.National Innovation Institute of Defense Technology,Academy of Military Science,Beijing 100010,China
    2.College of Aerospace Science and Engineering,National University of Defense Technology,Changsha 410073,China
    3.Hunan Key Laboratory of Intelligent Planning and Simulation for Aerospace Missions,Changsha 410073,China
    4.National Key Laboratory of Autonomous Intelligent Unmanned Systems,Beijing Institute of Technology,Beijing 100081,China
  • Received:2023-10-12 Revised:2023-11-20 Accepted:2024-01-29 Online:2024-02-05 Published:2024-02-05
  • Contact: Kebo LI E-mail:likeboreal@nudt.edu.cn
  • Supported by:
    National Natural Science Foundation of China(12002370)

Abstract:

A differential geometric guidance law design method with the characteristic of fixed-time convergence is proposed. Firstly, a new control parameter selection mechanism is presented for the recently proposed Fixed-Time convergence Error Dynamics (FxTED) method. The number of control parameters are reduced from four to three, and a more accurate upper-bound of the error settling time is obtained. Secondly, for the guidance law design problem against stationary targets, the FxTED method is extended to the arc-length domain based on the classical differential geometry curve theory, and the differential geometric guidance law design method with the property of fixed-range convergence is proposed. Then, to address the problems of impact-angle-control guidance and flight-range-control guidance, two fixed-range convergence differential geometric guidance laws are designed. Finally, the effectiveness of the proposed method is verified through numerical simulation examples.

Key words: error dynamics, classical differential geometry curve theory, fixed-time convergence, fixed-range convergence, differential geometric guidance law

CLC Number: