Optimal fast anti-windup guidance law based on super-twisted sliding mode algorithm

To address the practical actuator saturation constraint challenges faced in highly maneuverable hypersonic target intercept missions, this paper proposes a novel optimal predictive super-twisting sliding-mode guidance (OSTSMG) law. This composite guidance law uses energy-optimal guidance commands based on predicted zero-effort-miss (ZEM) as a reference. An anti-windup super-twisting sliding-mode algorithm is designed. By designing a novel anti-windup feedback loop that relies solely on physically measurable states, the system effectively shortens the command saturation time and enhances its rapid recovery capability under saturation conditions. Furthermore, this second-order sliding-mode structure naturally generates continuous and smooth guidance commands, significantly suppressing the chattering phenomenon common in traditional sliding-mode control. It also maintains excellent robust performance despite uncertainties such as sensor noise. Simulation results demonstrate that OSTSMG exhibits significant advantages over existing guidance methods in terminal accuracy, energy efficiency, and saturation resistance, validating its effectiveness and engineering applicability in complex intercept scenarios.