Closed-loop continuous-time Laguerre-based subspace identification via orthogonal projection approach.

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Bibliographic Details
Title: Closed-loop continuous-time Laguerre-based subspace identification via orthogonal projection approach.
Authors: Yu, Miao1 (AUTHOR) yumiao@qhd.neu.edu.cn, Jia, Yihao1 (AUTHOR), Wang, Wanli1 (AUTHOR), Gao, Zhenyu1 (AUTHOR)
Source: Transactions of the Institute of Measurement & Control. Dec2025, Vol. 47 Issue 16, p3141-3148. 8p.
Subjects: Subspace identification (Mathematics), Continuous time systems, Principal components analysis, Orthographic projection, Instrumental variables (Statistics), Matrices (Mathematics), Feedback control systems
Abstract: This paper presents a closed-loop Laguerre-based subspace identification method for continuous-time systems via orthogonal projection approach. A bank of Laguerre filters operating in the all-pass domain, which is capable of handling the non-equidistant data, is used to get the input–output matrix equation of the systems. We put the emphasis on the parity space opposed to the observable subspace. The instrumental variable method and principal component analysis estimate the system consistently, solving the issue of biased estimate for the closed-loop operation of the system caused by the feedback controller. The simulation results demonstrate the effectiveness of the proposed approach. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
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Abstract:This paper presents a closed-loop Laguerre-based subspace identification method for continuous-time systems via orthogonal projection approach. A bank of Laguerre filters operating in the all-pass domain, which is capable of handling the non-equidistant data, is used to get the input–output matrix equation of the systems. We put the emphasis on the parity space opposed to the observable subspace. The instrumental variable method and principal component analysis estimate the system consistently, solving the issue of biased estimate for the closed-loop operation of the system caused by the feedback controller. The simulation results demonstrate the effectiveness of the proposed approach. [ABSTRACT FROM AUTHOR]
ISSN:01423312
DOI:10.1177/01423312241276330