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A Finite Time Unknown Input Observer For Linear Systems

This paper presents a finite time unknown input observer for linear systems, i.e. an observer which estimates the exact state of a linear system with unknown input disturbances in a predefined finite time. Based on recent results in observer design for linear systems, conditions are established to guarantee finite time convergence of the estimation error dynamics. The proposed observer is demonstrated on a DC motor for the estimation of the rotor current and the angular velocity despite an unknown input disturbance in the stator voltage