Balanced prescribed-distance guidance with impact angle constraint and input saturation

Abstract

This paper presents a cooperative approach combining a prescribed-distance inverse-optimal guidance law with balanced control for intercepting a maneuvering target, while considering input saturation. By employing a distance-dependent scale transformation, the guidance interception problem is converted into a prescribed-distance regulation form. A prescribed-distance guidance law is then implemented building upon the inverse problem of optimal control theory to minimize a specific quadratic performance index. To address the challenges posed by input saturation, a performance safety evaluation (PSE) function is introduced. This function assesses the system’s safety and determines whether compensation for saturation is necessary. As a result, a balance between performance and saturation is achieved. The effectiveness of our proposed guidance law is evaluated through numerical simulations.