Title: The gradient and the Newton iterative modelling methods for an operational amplifier circuit

Authors: Ling Xu

Addresses: School of Internet of Things Technology, Wuxi Vocational Institute of Commerce, 214153, China; School of Internet of Things Engineering, Jiangnan University, 214122, China

Abstract: In order to provide a new method to identify the mathematical model of circuit systems, this paper studies modelling methods by combining the iterative strategy with the nonlinear optimisation. When we analyse a complicated circuit, we only need to find the relationship between the input and the output and do not need to concern the specific components, which can be solved by system identification. With this purpose, this paper develops the iterative modelling methods to construct the transfer function for an amplifier circuit system which can be described by the transfer function model of a first-order inertial system. For obtaining the transfer function model, the impulse response observed data are employed to design the objective function regarding to the time constant and the gain of the first-order inertial system. In light of the nonlinear characteristic of the system output, the gradient optimisation and the Newton optimisation are adopted to minimise the objective function. Finally, the simulation experiment is carried out to test the performance of the developed modelling methods.

Keywords: parameter estimation; iterative identification; gradient optimisation; Newton optimisation; transfer function.

DOI: 10.1504/IJMIC.2019.103661

International Journal of Modelling, Identification and Control, 2019 Vol.32 No.3/4, pp.212 - 218

Received: 12 Feb 2019
Accepted: 07 Mar 2019
Published online: 18 Nov 2019 *

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