Title: Parameter estimation algorithm for d-step time delay systems

Authors: Ya Gu; Peiyi Zhu; Xiangli Li; Jianfei Gu

Addresses: School of Electrical Engineering and Automation, Changshu Institute of Technology, Changshu, Jiangsu, China ' School of Electrical Engineering and Automation, Changshu Institute of Technology, Changshu, Jiangsu, China ' School of Electrical Engineering and Automation, Changshu Institute of Technology, Changshu, Jiangsu, China ' School of Electrical Engineering and Automation, Changshu Institute of Technology, Changshu, Jiangsu, China

Abstract: This article proposes the methods of parameter estimation and state estimation to calculate state space systems with delay. Associating the properties of linear conversion and shift operators, the state space model can be equal to the standard state space model, which can then be converted into the recognition model. The proposed stochastic gradient method is brought to calculate the system and converge to the recursive least squares estimates for state space models. Finally, one example is proposed to certify the theorems of this paper.

Keywords: state estimation; stochastic gradient algorithm; time-delay.

DOI: 10.1504/IJMIC.2019.103650

International Journal of Modelling, Identification and Control, 2019 Vol.32 No.3/4, pp.199 - 203

Received: 16 Jan 2019
Accepted: 16 Jan 2019
Published online: 18 Nov 2019 *

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