Title: Parameter and time delays estimation based on compressed sensing for MISO CARMA system modelling

Authors: Taiyang Tao; Qingxi Xu; Xuehai Wang

Addresses: School of Intelligent Manufacturing, Nanyang Institute of Technology, Nanyang, 473004, China ' School of Intelligent Manufacturing, Nanyang Institute of Technology, Nanyang, 473004, China ' School of Mathematics and Statistics, Xinyang Normal University, Xinyang, 464000, China

Abstract: This paper considers estimating parameters and time-delay for multiple input single output (MISO) controlled auto-regressive moving average (CARMA) models with unknown time delays. Inspired by compressed sensing method and hierarchical idea, an orthogonal matching pursuit algorithm based iterative is presented for MISO CARMA system in this paper. The presented algorithm can estimate time-delay and parameters of MISO CARMA system with limited sampled data. An example is given to show the effectiveness of the algorithm in this paper with a few sampled data.

Keywords: parameter estimation; time-delay; MISO CARMA system; hierarchical idea; orthogonal matching pursuit.

DOI: 10.1504/IJMIC.2021.121825

International Journal of Modelling, Identification and Control, 2021 Vol.37 No.3/4, pp.292 - 300

Received: 18 Oct 2020
Accepted: 06 Jan 2021
Published online: 07 Apr 2022 *

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