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

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. Copyright (C) 2023 The Authors.