Finite-Time Convergent Sliding Mode Guidance Law-Based Capture Region with Multiple Constraints

This article proposes a construction method of capture region subject to input constraints of pulsed engine, field-of-view (FOV) constraint and impact angle constraint based on the finite-time convergent guidance law. Firstly, the pulsed engine model, interceptor-target engagement kinematic model and impact angle model are constructed by combining with the discrete and nonlinear characteristics of pulse thrust, full strapdown seeker and head-on approach. Secondly, the finite-time convergent sliding mode guidance (FTC-SMG) law-based capture region is constructed under the zero-effort interception condition (ZEIC). Then, by analyzing the effects of input constraints, FOV constraint and impact angle constraint on the FTC-SMG law-based capture region, the capture region with multiple constraints is constructed. Finally, the FTC-SMG law-based capture regions with and without constraints are displayed by numerical simulations, as well as the reliability of capture regions are verified by comparison simulations and Monte Carlo tests.