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. First, 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. Second, the finite-time convergent sliding mode guidance (FTC-SMG) law-based capture region is constructed under the zero-effort interception condition. 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.