Lyapunov-Based Impact Time Control Guidance Law with Performance Prediction

This paper proposes an impact time control guidance law based on exact nonlinear kinematics equations. To address the problem of providing enhanced intercept accuracy, we formulated error variable whose regulation ensures fulfillment required tasks without time-to-go estimation. Based Lyapunov stability theory, a desired line-of-sight rate profile that satisfies convergence was constructed, from which command designed using optimal tracking formulation. The simple structure proposed enables prediction interceptor behavior during homing, thereby allowing to maneuver along feasible trajectories. In addition, although is and similar proportional navigation, it theoretically guaranteed execute mission precisely at end homing. Numerical simulations demonstrated achieved effective target interception under various terminal constraint settings.