Recursive Identification of Fractional Time-Delay Systems Using Discrete-Time Model

Abstract

In this paper, a recursive identification method for fractional time-delay systems using a discrete-time model is proposed. The fractional time delay is a non-integer multiple of the sampling period for the discrete-time system. We describe the discretization of the fractional time-delay systems and propose a new formulation for system identification. Single-input, single-output systems are transformed to two-input, single-output systems: one transfer function represents system dynamics and the other represents the influence of the time delay. Then, we propose a new recursive identification method for fractional time-delay systems. Finally we verify the effectiveness of the proposed method through numerical examples.