Abstract:

To fast evaluate the reasonable situation of terminal phase of long-range interception, the analytical capture region for intercepting arbitrary bounded maneuvering hypersonic target with constraints of field of view and acceleration saturation is investigated. To fit the above target interception scenario, the terminal guidance law with asymptotic convergence and disturbance rejection is firstly introduced to develop the capture region. By constructing a composite Lyapunov function and employing the nonlinear programming technique for inequalities analysis, the multiple constrained capture region is finally derived, which is constituted by the modified capture conditions with respect to the initial closing speed, initial transversal relative speed and initial heading angle of interceptor. The allowable range of guidance gain is also obtained. It is theoretically proved that when the gain is set within the applicable range, the interceptor can effectively intercept arbitrary bounded maneuvering target under arbitrary initial conditions given in the proposed capture region, as well as satisfy the field of view constraint and the maximum acceleration limitation throughout the whole process. Meanwhile, it can be guaranteed that the terminal miss distance is less than the allowable threshold value, and the closing speed is less than the allowable impact speed. Comparative simulations validate the validity of proposed conclusions and reveal the influencing factors of capture region, which can provide a reference for increasing the controllable margin of initial encountering formation.

Key words: missile guidance, multiple constrained capture region, field of view constraint, overload saturation, arbitrary boundedly maneuvering target