Finite time sliding sector guidance law with acceleration saturation constraint

Abstract

A novel guidance law utilising variable structure control with finite time sliding sector is proposed. In contrast with the normally used notion of asymptotic stability in conventional sliding sector, a finite time sliding sector is defined as a subset of state space in which the Lyapunov function candidate satisfies the finite time stability condition. For the guidance system, the analytical solution of a state-dependent differential Riccati equation is achieved to determine the finite time sliding sector. Then, based on the finite time sliding sector, a sliding sector guidance law is designed by considering the target acceleration as a bounded uncertainty. Furthermore, the finite time sliding sector guidance law is even extended to the case where missile acceleration saturation constraint is considered. Simulation results show that the new guidance law is highly effective.