This paper investigates distributed robust consensus problem based on arbitrary Prescribed-time Unknown Input Reduced-order Observers (PTUIROs). These observers, with periodic delayed output, eliminate the influence of unknown inputs and achieve state estimation within a prescribed-time frame. A robust leader–follower consensus protocol is proposed by employing the estimation states information from PTUIROs. The stability and robustness to unknown inputs are addressed through the Lyapunov function and an criterion. The proposed theoretical results are demonstrated through the presentation of numerical examples.
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