Finite-frequency object identification with delays

We propose a method of finite-frequency identification for stable objects with delay in the presence of an unknown external disturbance and measurement errors. This method uses a test signal which is the sum of at most as many harmonics as the number of coefficients in the object. In order to uniquely determine the delay value, we propose an approach that uses a test signal in the form of a product of a sinusoidal and exponential function. Based on this approach, we construct two identification algorithms: one for separate identification of coefficients and the delay value, another for their joint identification.