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State Estimation for Singular Systems with Finite Random Measurement Delays and Packet Dropouts.

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Title: State Estimation for Singular Systems with Finite Random Measurement Delays and Packet Dropouts.
Authors: Goel, Ashna1 (AUTHOR) ashna_2021ma10@iitp.ac.in, Bhaumik, Shovan2 (AUTHOR) shovan.bhaumik@iitp.ac.in, Tomar, Nutan Kumar1 (AUTHOR) nktomar@iitp.ac.in
Source: Circuits, Systems & Signal Processing. Apr2026, Vol. 45 Issue 4, p2582-2602. 21p.
Subjects: Singular value decomposition, Descriptor systems, Observability (Control theory), Stability theory, Feedback control systems
Abstract: In networked control systems (NCSs), random measurement delays and packet dropouts are inevitable consequences of limited communication bandwidth, impacting the reliability of data transmissions. To address this issue, a novel model is proposed in this paper to describe finite random measurement delays and packet dropouts by employing a group of Bernoulli distributed random variables. By utilizing singular value decomposition (SVD), the singular system is transformed into two reduced-order subsystems. Further, the subsystems are reformulated into a stochastic parameterized state space system with correlated noises by augmenting the states with delayed measurements. Based on the new model, the least mean square linear estimators, including filter and predictor, are developed using the innovation analysis approach. These estimators explicitly depend on the probabilities of the stochastic parameters. Consequently, an optimal linear estimator is obtained for a class of singular systems. Furthermore, the stability and steady-state properties of the proposed estimator are also analyzed. Lastly, a simulation example is presented for the performance evaluation of the proposed algorithm. [ABSTRACT FROM AUTHOR]
Copyright of Circuits, Systems & Signal Processing is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: State Estimation for Singular Systems with Finite Random Measurement Delays and Packet Dropouts.
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  Data: In networked control systems (NCSs), random measurement delays and packet dropouts are inevitable consequences of limited communication bandwidth, impacting the reliability of data transmissions. To address this issue, a novel model is proposed in this paper to describe finite random measurement delays and packet dropouts by employing a group of Bernoulli distributed random variables. By utilizing singular value decomposition (SVD), the singular system is transformed into two reduced-order subsystems. Further, the subsystems are reformulated into a stochastic parameterized state space system with correlated noises by augmenting the states with delayed measurements. Based on the new model, the least mean square linear estimators, including filter and predictor, are developed using the innovation analysis approach. These estimators explicitly depend on the probabilities of the stochastic parameters. Consequently, an optimal linear estimator is obtained for a class of singular systems. Furthermore, the stability and steady-state properties of the proposed estimator are also analyzed. Lastly, a simulation example is presented for the performance evaluation of the proposed algorithm. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Circuits, Systems & Signal Processing is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s00034-025-03355-8
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      – Code: eng
        Text: English
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        PageCount: 21
        StartPage: 2582
    Subjects:
      – SubjectFull: Singular value decomposition
        Type: general
      – SubjectFull: Descriptor systems
        Type: general
      – SubjectFull: Observability (Control theory)
        Type: general
      – SubjectFull: Stability theory
        Type: general
      – SubjectFull: Feedback control systems
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      – TitleFull: State Estimation for Singular Systems with Finite Random Measurement Delays and Packet Dropouts.
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            NameFull: Bhaumik, Shovan
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              M: 04
              Text: Apr2026
              Type: published
              Y: 2026
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            – TitleFull: Circuits, Systems & Signal Processing
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