Abstract

The paper proposes a two-dimensional impact time control cooperative guidance law under constant velocity and a three-dimensional impact time control cooperative guidance law under time-varying velocity, which can both improve the penetration ability and combat effectiveness of multi-missile systems and adapt to the complex and variable future warfare. First, a more accurate time-to-go estimation method is proposed, and based on which a modified proportional navigational guidance (MPNG) law with impact time constraint is designed in this paper, which is also effective when the initial leading angle is zero. Second, adopting cooperative guidance architecture with centralized coordination, using the MPNG law as the local guidance, and the desired impact time as the coordination variables, a two-dimensional impact time control cooperative guidance law under constant velocity is designed. Finally, a method of solving the expression of velocity is derived, and the analytic function of velocity with respect to time is given, a three-dimensional impact time control cooperative guidance law under time-varying velocity based on desired impact time is designed. Numerical simulation results verify the feasibility and applicability of the methods.

Highlights

  • Due to the rapid development of defense system, it has become increasingly difficult to realize penetration by a single missile

  • (3) The analytic function of velocity with respect to time is derived, and a three-dimensional impact time control cooperative guidance law under time-varying velocity based on desired impact time is designed

  • This paper aims to avoid problem of multi-missile cooperative attack on stationary target, a two-dimensional impact time control cooperative guidance law under constant velocity and a three-dimensional impact time control cooperative guidance law under time-varying velocity are proposed

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Summary

Introduction

Due to the rapid development of defense system, it has become increasingly difficult to realize penetration by a single missile. The above studies are carried out under the assumption that the target is stationary, but the target is moving To solve this problem, two kinds of impact time control guidance laws based on terminal sliding mode theory were proposed in [21], which is applicable for stationary and moving targets. Due to Aerospace 2021, 8, 231 the switching, the guidance command was not continuous To solve this problem, in [26], an impact time and angle control guidance law was proposed based on the non-singular terminal sliding mode control theory. (2) The cooperative guidance architecture with centralized coordination is adopted, using the MPNG law as the local guidance, and the desired impact time as the coordination variables, a two-dimensional impact time control cooperative guidance law under constant velocity is designed, numerical simulation results verify the feasibility and applicability of the method.

The Velocity of Missile Is Constant
The Velocity of Missile Is Time-Varying
Mathematical Model of Missile in Three-Dimensional Space
Time-to-Go Estimation under Time-Varying Velocity
MPNG Law
Impact Time Control Cooperative Guidance Law Based on Coordination Variables
Salvo Attack with the MPNG Law
Conclusions

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