ACTA AERONAUTICAET ASTRONAUTICA SINICA >
Differential geometric guidance law design based on fixed⁃time convergent error dynamics method
Received date: 2023-10-12
Revised date: 2023-11-20
Accepted date: 2024-01-29
Online published: 2024-02-05
Supported by
National Natural Science Foundation of China(12002370)
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.
Xianzong BAI , Kebo LI , Haojian LI , Wei DONG . Differential geometric guidance law design based on fixed⁃time convergent error dynamics method[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2024 , 45(16) : 329712 -329712 . DOI: 10.7527/S1000-6893.2023.29712
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