Abstract
This paper investigates the problem of the state reconstruction for LTI systems with time-delayed outputs. The proposed observer allows the reconstruction of the states in two steps. In the first step, an impulsive observer provides an estimation of the delayed states. In the second step, the actual states is estimated by the second observer using a predictive method. The finite time reconstruction is achieved for two different cases: constant and piece-wise constant time delays. The problem of the residual error in the case of piece-wise delay is solved. A numerical example is provided in order to show the efficiency of the proposed method.
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