Amplitude Spectrum Design for Multivariable System Identification in Open Loop

Md. Tanjil Sarker; Ai Hui Tan; Timothy Tzen Vun Yap

doi:10.1109/I2CACIS54679.2022.9815487

Amplitude Spectrum Design for Multivariable System Identification in Open Loop

Md. Tanjil Sarker, Ai Hui Tan, Timothy Tzen Vun Yap

School of Mathematical & Computer Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

5 Citations (Scopus)

Abstract

In this paper, perturbation signal design for multi-input multi-output (MIMO) systems is presented for the output error (OE) and the autoregressive with exogenous inputs (ARX) model structures. The problem is handled via the investigation of multi-input single-output (MISO) systems, since a MIMO system can be formed as a combination of MISO systems. Comparison is performed between the flat, MOOSE2 and optexcit signal designs under three different signal-to-noise ratios (SNRs) in the open loop setting. The effectiveness of signal designs obtained for the single-input case and applied on MISO systems is analysed. The mean determinant of the covariance matrix of parameter estimates is utilised as a measure of estimation accuracy. Equations for MISO system are constructed and the amplitude spectrum design of perturbation signals is investigated based on the determinant of the covariance matrix for the ARX model structure.

Original language	English
Title of host publication	2022 IEEE International Conference on Automatic Control and Intelligent Systems (I2CACIS)
Publisher	IEEE
Pages	107-112
Number of pages	6
ISBN (Electronic)	9781665495813
DOIs	https://doi.org/10.1109/I2CACIS54679.2022.9815487
Publication status	Published - 8 Jul 2022
Event	2022 IEEE International Conference on Automatic Control and Intelligent Systems - Shah Alam, Malaysia Duration: 25 Jun 2022 → …

Conference

Conference	2022 IEEE International Conference on Automatic Control and Intelligent Systems
Abbreviated title	I2CACIS 2022
Country/Territory	Malaysia
City	Shah Alam
Period	25/06/22 → …

Keywords

amplitude spectra
multivariable systems
perturbation signals
signal design
system identification

ASJC Scopus subject areas

Artificial Intelligence
Information Systems and Management
Control and Systems Engineering
Control and Optimization

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10.1109/I2CACIS54679.2022.9815487

Cite this

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title = "Amplitude Spectrum Design for Multivariable System Identification in Open Loop",

abstract = "In this paper, perturbation signal design for multi-input multi-output (MIMO) systems is presented for the output error (OE) and the autoregressive with exogenous inputs (ARX) model structures. The problem is handled via the investigation of multi-input single-output (MISO) systems, since a MIMO system can be formed as a combination of MISO systems. Comparison is performed between the flat, MOOSE2 and optexcit signal designs under three different signal-to-noise ratios (SNRs) in the open loop setting. The effectiveness of signal designs obtained for the single-input case and applied on MISO systems is analysed. The mean determinant of the covariance matrix of parameter estimates is utilised as a measure of estimation accuracy. Equations for MISO system are constructed and the amplitude spectrum design of perturbation signals is investigated based on the determinant of the covariance matrix for the ARX model structure.",

keywords = "amplitude spectra, multivariable systems, perturbation signals, signal design, system identification",

author = "Sarker, {Md. Tanjil} and Tan, {Ai Hui} and Yap, {Timothy Tzen Vun}",

note = "Funding Information: ACKNOWLEDGMENT The first author acknowledges financial sponsorship from the Multimedia University, Malaysia under the Graduate Research Assistantship scheme and the ICT Division, Bangladesh under the Research Fellowship scheme. Publisher Copyright: {\textcopyright} 2022 IEEE.; 2022 IEEE International Conference on Automatic Control and Intelligent Systems, I2CACIS 2022 ; Conference date: 25-06-2022",

year = "2022",

month = jul,

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doi = "10.1109/I2CACIS54679.2022.9815487",

language = "English",

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address = "United States",

}

Sarker, MT, Tan, AH & Yap, TTV 2022, Amplitude Spectrum Design for Multivariable System Identification in Open Loop. in 2022 IEEE International Conference on Automatic Control and Intelligent Systems (I2CACIS). IEEE, pp. 107-112, 2022 IEEE International Conference on Automatic Control and Intelligent Systems, Shah Alam, Malaysia, 25/06/22. https://doi.org/10.1109/I2CACIS54679.2022.9815487

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AU - Sarker, Md. Tanjil

AU - Tan, Ai Hui

AU - Yap, Timothy Tzen Vun

N1 - Funding Information: ACKNOWLEDGMENT The first author acknowledges financial sponsorship from the Multimedia University, Malaysia under the Graduate Research Assistantship scheme and the ICT Division, Bangladesh under the Research Fellowship scheme. Publisher Copyright: © 2022 IEEE.

PY - 2022/7/8

Y1 - 2022/7/8

N2 - In this paper, perturbation signal design for multi-input multi-output (MIMO) systems is presented for the output error (OE) and the autoregressive with exogenous inputs (ARX) model structures. The problem is handled via the investigation of multi-input single-output (MISO) systems, since a MIMO system can be formed as a combination of MISO systems. Comparison is performed between the flat, MOOSE2 and optexcit signal designs under three different signal-to-noise ratios (SNRs) in the open loop setting. The effectiveness of signal designs obtained for the single-input case and applied on MISO systems is analysed. The mean determinant of the covariance matrix of parameter estimates is utilised as a measure of estimation accuracy. Equations for MISO system are constructed and the amplitude spectrum design of perturbation signals is investigated based on the determinant of the covariance matrix for the ARX model structure.

AB - In this paper, perturbation signal design for multi-input multi-output (MIMO) systems is presented for the output error (OE) and the autoregressive with exogenous inputs (ARX) model structures. The problem is handled via the investigation of multi-input single-output (MISO) systems, since a MIMO system can be formed as a combination of MISO systems. Comparison is performed between the flat, MOOSE2 and optexcit signal designs under three different signal-to-noise ratios (SNRs) in the open loop setting. The effectiveness of signal designs obtained for the single-input case and applied on MISO systems is analysed. The mean determinant of the covariance matrix of parameter estimates is utilised as a measure of estimation accuracy. Equations for MISO system are constructed and the amplitude spectrum design of perturbation signals is investigated based on the determinant of the covariance matrix for the ARX model structure.

KW - amplitude spectra

KW - multivariable systems

KW - perturbation signals

KW - signal design

KW - system identification

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M3 - Conference contribution

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EP - 112

BT - 2022 IEEE International Conference on Automatic Control and Intelligent Systems (I2CACIS)

PB - IEEE

T2 - 2022 IEEE International Conference on Automatic Control and Intelligent Systems

Y2 - 25 June 2022

ER -

Amplitude Spectrum Design for Multivariable System Identification in Open Loop

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Keywords

ASJC Scopus subject areas

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