Title: The algebraic solution parameter estimation methods for control systems based on the frequency responses

Authors: Ling Xu

Addresses: School of Internet of Things Technology, Wuxi Vocational Institute of Commerce, 214153, China

Abstract: System identification is a basic technique which can construct system models for designing system controllers. In order to reduce the complexity of the iterative or recursive algorithms and develop easy ways to identify system models, this paper is concerned with the problem of parameter estimation for control systems from observed input and output data of system frequency characteristics. Because the system parameters are contained in the real frequency and imaginary frequency characteristics, we design several algebraic solution methods which only use seldom measurements to determine system parameters in terms of the first-order inertial system and second-order pole systems. In this study, the two-point method, three-point method and four-point method are derived by using the discrete observations of the real frequency characteristic or imaginary frequency characteristic or combining the real frequency and imaginary frequency characteristic. Finally, the effectiveness of the proposed algebraic solution methods for estimating parameters of control systems is verified by a few numerical examples.

Keywords: parameter estimation; system identification; algebraic solution; transfer function.

DOI: 10.1504/IJMIC.2021.121832

International Journal of Modelling, Identification and Control, 2021 Vol.37 No.3/4, pp.199 - 210

Received: 21 Sep 2020
Accepted: 17 Jan 2021
Published online: 07 Apr 2022 *

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