Finite-time error convergent trajectory generation with field-of-view and angle constraints

Abstract

A homing guidance law combined with terminal angle constraint and seeker’s field-of-view limit is proposed in this paper for hitting a stationary target. The proposed guidance scheme is composed of proportional navigation guidance and a continuous feedback term with respect to a newly defined angle error. Considering that many existing methods use switching logic strategy to address the specific constraint which will generate discontinuous acceleration command, the proposed scheme overcomes the limitation by not using switching logic. Furthermore, the finite-time convergence of angle error before interception is guaranteed via a Lyapunov-like approach, a shaping function is also designed to lengthen the range at which the error becomes zero. Numerical simulations demonstrate the characteristics and advantages of the proposed guidance law.