It is difficult to access state variables in linear parameter-varying (LPV) systems with a time-varying delay, especially when they are subjected to previewed and periodic reference signals. This study investigates preview repetitive control (PRC) synthesis for these systems, proposes a novel static output PRC law, and establishes an augmented error system, transforming the PRC task into an output feedback problem. The linear matrix inequality (LMI) technique is used as a stability criterion, allowing the closed-loop system to be asymptotically stable with H∞ performance. Finally, the results are verified by numerical simulation, demonstrating the effectiveness of the proposed control scheme.
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