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Acta Aeronautica et Astronautica Sinica

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Homing guidance law under multiple constraints via relative range profile shaping with high-orders

  

  • Received:2024-10-15 Revised:2024-12-09 Online:2024-12-10 Published:2024-12-10
  • Contact: Tuo HAN

Abstract: Aiming at the problem of terminal guidance with angle of fall constraint or attack time constraint under the condition of limited field-of-view of missile’s seeker, a multi-constraint terminal guidance law design method based on high-order reshaping of relative range profile is proposed. Firstly, an auxiliary variable containing only field of view angle is con-structed for the two-dimensional plane terminal guidance model, and a high-order polynomial with the reference mis-sile-target relative range profile as the auxiliary variable is designed. Secondly, some profile parameters are solved by using the initial and terminal boundary conditions of guidance, and the expression form of the parameters to be solved is given by performing terminal constraint integration on the auxiliary variable transformation equation. Furthermore, the angle-constrained guidance law and time-constrained guidance law driven by reference profile are given respec-tively based on model transformation. At the same time, in order to ensure the continuous attenuation characteristics of the seeker’s field-of-view, the conditions for the profile parameters to be satisfied are given, and based on this, the explicit representation form of the reachable domain of angle constraint and time constraint is inferred. Different from the existing guidance law with profile reshaping, this paper designs a general n-order range profile reshaping guid-ance method, not only wider achievable constraint sets are obtained, but also better convenience is provided for de-signers/engineers to analyze the reshaping guidance law performance under arbitrary orders. In addition, in order to solve the profile deviation problem in the ideal profile reshaping process under uncertainty or disturbance, the guid-ance law is compensated for profile tracking deviation and robustly corrected, thereby improving the multi-constraint guidance accuracy under complex working conditions. Finally, the effectiveness and robustness of the designed guid-ance law are verified through numerical simulation comparison analysis under various working conditions and Monte Carlo tests.

Key words: terminal guidance law, angle constraint, time constraint, field-of-view limit