Quaternion based Three-Dimensional Impact Time and Field-of-View Constrained Guidance

Abstract

In this paper, an impact time-constrained guidance scheme against stationary targets, considering the bounds on the seeker's look angle, is proposed. The guidance strategy is developed within a nonlinear and coupled three-dimensional framework using quaternion-based dynamics to avoid possible singularities. The guidance approach first obtains the bounds on the time-to-go values corresponding to the bounds on the interceptor's field-of-view. These bounds on time-to-go are then utilized to derive interceptor lateral acceleration using asymmetric time-varying barrier Lyapunov function to intercept a target at a pre-defined time of impact without violating the prescribed bounds on the field-of-view. Furthermore, a way to achieve larger impact times with a multi-phase guidance structure was devised. The effectiveness of the proposed guidance law is validated with numerical simulations, the results of which are found to be satisfactory.