Predefined-time control of parallel platforms for small-angle attitude pointing
摘要
Driven by the spacecraft payload’s requirement for high-precision, small-angle attitude pointing and in order to overcome the limitations of existing algorithms where the convergence time depends on initial conditions, this paper applies the predefined-time stability theory to the attitude control of an onboard Gough–Stewart (G–S) platform. First, the kinematic and dynamic models tailored for small-angle maneuvers are established. Then, to enhance both the speed and certainty of attitude stabilization, a cascaded control architecture is proposed. In this architecture, a sliding-mode controller based on the predefined-time criterion is designed for the outer attitude loop to explicitly prescribe the settling time, while a sliding-mode controller is employed for the inner leg-position loop to ensure precise actuator tracking. Theoretically, the Lyapunov stability analysis rigorously proves that the attitude tracking error converges to a neighborhood of the origin within a user-defined time (