Impact Time Control Cooperative Guidance Law Design Based on Modified Proportional Navigation

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.

Terminal Impact Time Control Cooperative Guidance Law for UAVs under Time-Varying Velocity

“…where, K M1 is the deceleration control parameter, and the parameter size varies from 0.001 to 0.125. The time-to-go estimation method in reference [34] is adopted in this paper, which can be expressed as…”

“…Similarly, when the rate of change of velocity is the quadratic function of velocity, the dynamic Equation is adopted in reference [34], which is…”

“…It is also pointed out in [34] that when the rate of change of velocity is the quadratic function of velocity, the time-to-go can be expressed as…”

“…A double-layer guidance structure was adopted in [33], based on the prediction-correction guidance law, the time-to-go was predicted online by neural network, and the time error was corrected by dynamically adjusting the line-of-sight angle corridor. Considering that the rate of change of velocity is a quadratic function of velocity, Reference [34] proposed a three-dimensional impact time cooperative guidance law based on desired impact time.…”

“…Even if some UAVs in the cluster are destroyed, the impact time of the remaining clusters can still be quickly consistent. (2) Compared with reference [34], when the rate of change of velocity is a quadratic function of velocity, a three-dimensional impact time cooperative guidance law based on coordination variables is proposed in this paper, which does not need to set the desired impact time in advance as the impact time is determined by negotiation among UAVs. (3) When the rate of change of velocity is the first order function of velocity, the expression of time-to-go estimation is derived firstly, then according to whether there is the communication among UAVs, a multiple UAVs three-dimensional cooperative guidance law based on desired impact time and a multiple UAVs three-dimensional cooperative guidance law based on coordination variable are designed respectively, which can both realize the saturation attack.…”