Uncertain Iterative Optimal Attitude Control Method for Periodic Satellite With Reliability Constraint

To realize the optimal attitude control for periodic satellites with bounded uncertainties, this study investigates an interval-based periodic linear quadratic regulator (I-PLQR) method subjected to reliability constraint. As one of the typical periodic satellites, the periodic dynamics of attitude control in space solar power station (SSPS) and its nominal state-space equation are constituted with the known period. To alleviate the cost of the control system for quantifying the probabilistic uncertainty, the uncertainty factors within the system are regarded as interval numbers based on set theory. An adaptive polynomial-based interval decoupling analysis (AP-IDA) method is introduced to accurately estimate…