Polynomial Guidance Law for Dual-Seeker Interceptors

A polynomial-based guidance law is proposed for interception of a stationary target by a dual-seeker interceptor. The guidance law governs the desired look-angle profile as a cubic polynomial of the range-to-go. The coefficients of the polynomial are obtained by satisfying the boundary conditions on the look angle, at the launch and impact points together with imposing the respective field-of-view constraints of the midcourse and terminal phase seekers. Analytical conditions are derived among design parameters to achieve a strictly decreasing look-angle variation with range. Further analysis is carried out showing that the guidance law achieves a reducing acceleration demand in the terminal phase as well as a zero acceleration demand at the impact point. Simulation results using constant speed as well as realistic interceptor models are presented to support the analytical results.