Distributed robust consensus based on prescribed-time unknown input reduced-order observers

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 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"> <mml:mrow> <mml:msub> <mml:mrow> <mml:mi>H</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>∞</mml:mi> </mml:mrow> </mml:msub> </mml:mrow> </mml:math> criterion. The proposed theoretical results are demonstrated through the presentation of numerical examples.