Barrier Lyapunov Function based Impact Time Guidance with Field-of-View and Input Constraints

Abstract

This paper proposes a barrier Lyapunov function-based guidance scheme against stationary targets to achieve interception at a pre-specified impact time while satisflying the field-of-view constraint and the bounded lateral acceleration requirement for planar engagements. An approach that aids in satisflying the field-of-view constraint with a bounded interceptor lateral acceleration is first proposed using the conditions on time-to-go estimate of the engagement and extension of system states. Thereafter, the guidance command that constrains the time-to-go values and extended states within their bounds is obtained using the concept of the barrier Lyapunov function. The proposed approach also allows the designer to control the convergence rate and thereby the acceleration requirements, resulting in a trade-off between the rate of convergence of error and acceleration demand. Simulations are carried out to validate the effectiveness of the proposed schemes for different initial engagement geometries.