Subspace Identification for Closed-Loop Systems With Unknown Deterministic Disturbances

Kuan Li; Hao Luo; Yuchen Jiang; Dejia Tang; Hongyan Yang

doi:10.1109/JAS.2023.123330

Subspace Identification for Closed-Loop Systems With Unknown Deterministic Disturbances

Kuan Li^*
, Hao Luo
, Yuchen Jiang
, Dejia Tang
, Hongyan Yang

^*Corresponding author for this work

Shanghai Aerospace Control Technology Institute
School of Astronautics, Harbin Institute of Technology
Beijing University of Technology

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

This paper presents a subspace identification method for closed-loop systems with unknown deterministic disturbances. To deal with the unknown deterministic disturbances, two strategies are implemented to construct the row space that can be used to approximately represent the unknown deterministic disturbances using the trigonometric functions or Bernstein polynomials depending on whether the disturbance frequencies are known. For closed-loop identification, CCF-N4SID is extended to the case with unknown deterministic disturbances using the oblique projection. In addition, a proper Bernstein polynomial order can be determined using the Akaike information criterion (AIC) or the Bayesian information criterion (BIC). Numerical simulation results demonstrate the effectiveness of the proposed identification method for both periodic and aperiodic deterministic disturbances.

Original language	English
Pages (from-to)	2248-2257
Number of pages	10
Journal	IEEE/CAA Journal of Automatica Sinica
Volume	10
Issue number	12
DOIs	https://doi.org/10.1109/JAS.2023.123330
State	Published - 1 Dec 2023
Externally published	Yes

Keywords

Bernstein polynomial
closed-loop system
subspace identification
unknown deterministic disturbances

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title = "Subspace Identification for Closed-Loop Systems With Unknown Deterministic Disturbances",

abstract = "This paper presents a subspace identification method for closed-loop systems with unknown deterministic disturbances. To deal with the unknown deterministic disturbances, two strategies are implemented to construct the row space that can be used to approximately represent the unknown deterministic disturbances using the trigonometric functions or Bernstein polynomials depending on whether the disturbance frequencies are known. For closed-loop identification, CCF-N4SID is extended to the case with unknown deterministic disturbances using the oblique projection. In addition, a proper Bernstein polynomial order can be determined using the Akaike information criterion (AIC) or the Bayesian information criterion (BIC). Numerical simulation results demonstrate the effectiveness of the proposed identification method for both periodic and aperiodic deterministic disturbances.",

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T1 - Subspace Identification for Closed-Loop Systems With Unknown Deterministic Disturbances

AU - Li, Kuan

AU - Luo, Hao

AU - Jiang, Yuchen

AU - Tang, Dejia

AU - Yang, Hongyan

PY - 2023/12/1

Y1 - 2023/12/1

N2 - This paper presents a subspace identification method for closed-loop systems with unknown deterministic disturbances. To deal with the unknown deterministic disturbances, two strategies are implemented to construct the row space that can be used to approximately represent the unknown deterministic disturbances using the trigonometric functions or Bernstein polynomials depending on whether the disturbance frequencies are known. For closed-loop identification, CCF-N4SID is extended to the case with unknown deterministic disturbances using the oblique projection. In addition, a proper Bernstein polynomial order can be determined using the Akaike information criterion (AIC) or the Bayesian information criterion (BIC). Numerical simulation results demonstrate the effectiveness of the proposed identification method for both periodic and aperiodic deterministic disturbances.

AB - This paper presents a subspace identification method for closed-loop systems with unknown deterministic disturbances. To deal with the unknown deterministic disturbances, two strategies are implemented to construct the row space that can be used to approximately represent the unknown deterministic disturbances using the trigonometric functions or Bernstein polynomials depending on whether the disturbance frequencies are known. For closed-loop identification, CCF-N4SID is extended to the case with unknown deterministic disturbances using the oblique projection. In addition, a proper Bernstein polynomial order can be determined using the Akaike information criterion (AIC) or the Bayesian information criterion (BIC). Numerical simulation results demonstrate the effectiveness of the proposed identification method for both periodic and aperiodic deterministic disturbances.

KW - Bernstein polynomial

KW - closed-loop system

KW - subspace identification

KW - unknown deterministic disturbances

UR - https://www.scopus.com/pages/publications/85166780961

U2 - 10.1109/JAS.2023.123330

DO - 10.1109/JAS.2023.123330

M3 - 文章

AN - SCOPUS:85166780961

SN - 2329-9266

VL - 10

SP - 2248

EP - 2257

JO - IEEE/CAA Journal of Automatica Sinica

JF - IEEE/CAA Journal of Automatica Sinica

IS - 12

ER -

Subspace Identification for Closed-Loop Systems With Unknown Deterministic Disturbances

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Keywords

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