Three-dimensional multi-constraint analytical capture zone against maneuvering targets with velocity advantages

Concerning the capture problem against arbitrary maneuvering targets, whose overload is high maneuvering but upper bounded and velocity has advantages, this paper elucidates a three-dimensional multi-constraint analytical capture zone, exhibiting prominent guiding significance to the initial states of the terminal guidance. Unlike most existing capture zone studies, which are represented by initial relative velocity, the proposed capture zone investigates the initial velocity heading angle and side-window angle. First, the asymptotic fast convergence anti-interference guidance law is presented via motion camouflage theory, and it meets the Field of View (FOV) constraint by theoretical analysis. On this basis, the capture zone is derived with overload limits based on the Lyapunov-based function. Then, it is converted to the form defined by the velocity heading and side-window angles, considering the FOV constraint. Finally, the sensitivity of the capture zone to the designed guidance algorithm's different influencing factors and the gain boundary are deduced and analyzed to provide a theoretical basis for augmenting the analytical capture zone during a practical engagement. The findings reveal the capture zone correlation mechanism of terminal guidance law and give academic support to the subsequent acquisition of arbitrary maneuvering targets, which has potential application value.