Three-Dimensional Prescribed Performance Guidance Law with Field-of-View Constraint and Feasibility Analysis

This paper proposes a novel three-dimensional (3D) prescribed performance guidance law against a stationary target with impact angle and field-of-view (FOV) constraints. First, a prescribed performance function (PPF) is developed in the relative range domain and the sliding mode surfaces are designed with an error transform function. The desired impact angles and prescribed performance can be satisfied as long as the sliding mode occurs before the interception. Further, the presented sliding mode surfaces are then enhanced with an auxiliary function to address the FOV constraint, and the prescribed-time control technique is employed to obtain a feedback guidance law. Additionally, the mathematical relationship between the PPF, the achievable impact angle sets and the seeker's limited FOV is derived. Numerical simulations, including comparisons with similar existing studies and Monte Carlo cases, are conducted to verify the effectiveness and robustness of the proposed 3D prescribed performance guidance law.