Time-Varying Asymmetric Barrier Lyapunov Function-Based Impact Angle Control Guidance Law With Field-of-View Constraint

Abstract

A prerequisite for implementing precision strike is to keep the target locked within the seeker’s field-of-view (FOV). To address this constraint, a novel impact angle control guidance law based on the dynamic surface control and time-varying asymmetric Barrier Lyapunov Function is proposed. The FOV constraint, in this article, is equally transformed to a time-varying asymmetric limitation on the missile-target relative velocity perpendicular to the line-of-sight (LOS). Under the proposed guidance law, the velocity component is prevented from overstepping its limitation and eventually approaches zero, thus satisfying the homing requirement and the FOV constraint in an integrated manner. Compared to previous studies, the proposed guidance law does not require the target information and is applicable against moving targets. Also, the proposed guidance law does not use any switching logic, and consequently the synthesized guidance command is free from abrupt-jumping phenomenon. Numerical simulations and performance comparison fully demonstrates the effectiveness and superiority of the proposed guidance law.

Keywords

• Barrier Lyapunov function
• FOV constraint
• impact angle control
• dynamic surface control