Polynomial Shaping-based Field-of-View Constrained Impact Time Guidance against Non-maneuvering Targets

Abstract

This paper proposes polynomial shaping-based guidance strategies that assure interception of non-maneuvering targets at a pre-defined time without violating the seeker's field-of-view constraint. One of the proposed guidance strategies is obtained after expressing relative distance between the interceptor and the target as a nonlinear polynomial function of time-to-go. In contrast, the other guidance scheme shapes the line-of-sight angle as a polynomial function of the relative range between the two vehicles. The coefficients of both of these polynomials are obtained using the necessary boundary conditions that are consistent with required terminal and in-flight constraints. Using these coefficients, the desired set of look angles of the interceptor to achieve the mission objectives are first computed and then a nonlinear dynamic inversion-based controller is designed to track these reference values for achieving the guidance objectives. The performances of the proposed guidance strategies are validated and compared with each other using numerical simulations.