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.

In this work, we attempt to investigate a luring cooperative guidance strategy for three-player inducer–defender–attacker engagement with field-of-view (FOV) and overload constraints against an attacker with speed advantages under incomplete information. We formulate the three-player inducer–defender–attacker engagement problem as the pursuit–evasion (defender–attacker) game problem. On this basis, an analytical luring cooperative guidance strategy based on backstepping control is proposed to facilitate the defender with zero overloads intercepting the attacker. Additionally, under incomplete information, we offer a parameter delay design approach to delay the unknown parameters and state design. Afterward, an improved adaptive update law is devised to address the incomplete information. The proposed luring cooperative guidance, which incorporates backstepping control and an improved adaptive update law, can guarantee that the defender captures the attacker with zero overloads under luring by the inducer. Additionally, the proposed design adopts the directed communication topology network structure. Finally, we also execute simulations that demonstrate the effectiveness of the designed luring cooperative guidance strategy and reveal that it can be extended to double-hierarchical interception and four-on-two engagement interception.