Instrumental Variable System Identification for Time-Delayed system with Non-Integer Time-Delay

In this paper a bias eliminated system identification method for an output error model is proposed. The system under consideration is a time delayed system. The identification is done via a discrete time (DT) model with non-integer time delay. In a Discrete time, system, the time delay is a non-integer multiple of the sampling period. The paper proposes a new formulation of discretization, a Single-input and a single-output system (SISO) is modified to two-inputs and single-output system (TISO): First transfer function (T. F) represents the system dynamics and the other is due to the influence of the time delay. Using this interpretation, we proceed with the estimation of the parameters. we propose the identification using three different techniques, Least Square, Regularized Least Square and instrumental variable method and verify its effectiveness through numerical examples.