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Optimal control for networked control system with Markovian packet loss and delay.

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Title: Optimal control for networked control system with Markovian packet loss and delay.
Authors: Wang, Hongxia1 (AUTHOR) whx1123@126.com, Liu, Tao1 (AUTHOR), Li, Zixing1 (AUTHOR), Liang, Xiao2 (AUTHOR)
Source: Asian Journal of Control. Nov2024, Vol. 26 Issue 6, p3162-3178. 17p.
Subjects: Stochastic difference equations, Analytical solutions, Actuators, Probability theory
Abstract: This paper focuses on the optimal output‐feedback control and stabilization of a networked control system, where both time delay and packet loss are involved. Different from most previous work, the packet loss is Markovian, and the time delay occurs between the actuator and controller. The difficulty is rooted in the failure of the separation principle. The main tools are solving the delayed forward‐backward stochastic difference equations (D‐FBSDEs) and convergent analysis. Resorting to solving D‐FBSDEs and completing the square, we acquire the analytical solution, including the necessary and sufficient solvability condition and the explicit controller, of the finite‐horizon optimal control problem. Based on the finite‐horizon result and convergent analysis, we then obtain the analytical solution of the infinite‐horizon optimal control and stabilization problems. In addition, by analyzing the convergence of the optimal estimator, we establish a constraint relationship between the packet loss probability q$$ q $$ and the system matrix A$$ A $$. The results are evaluated by numerical examples. [ABSTRACT FROM AUTHOR]
Copyright of Asian Journal of Control is the property of Wiley-Blackwell 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: Optimal control for networked control system with Markovian packet loss and delay.
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  Data: <searchLink fieldCode="AR" term="%22Wang%2C+Hongxia%22">Wang, Hongxia</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> whx1123@126.com</i><br /><searchLink fieldCode="AR" term="%22Liu%2C+Tao%22">Liu, Tao</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Li%2C+Zixing%22">Li, Zixing</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Liang%2C+Xiao%22">Liang, Xiao</searchLink><relatesTo>2</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Asian+Journal+of+Control%22">Asian Journal of Control</searchLink>. Nov2024, Vol. 26 Issue 6, p3162-3178. 17p.
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– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper focuses on the optimal output‐feedback control and stabilization of a networked control system, where both time delay and packet loss are involved. Different from most previous work, the packet loss is Markovian, and the time delay occurs between the actuator and controller. The difficulty is rooted in the failure of the separation principle. The main tools are solving the delayed forward‐backward stochastic difference equations (D‐FBSDEs) and convergent analysis. Resorting to solving D‐FBSDEs and completing the square, we acquire the analytical solution, including the necessary and sufficient solvability condition and the explicit controller, of the finite‐horizon optimal control problem. Based on the finite‐horizon result and convergent analysis, we then obtain the analytical solution of the infinite‐horizon optimal control and stabilization problems. In addition, by analyzing the convergence of the optimal estimator, we establish a constraint relationship between the packet loss probability q$$ q $$ and the system matrix A$$ A $$. The results are evaluated by numerical examples. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Asian Journal of Control is the property of Wiley-Blackwell 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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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1002/asjc.3395
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 17
        StartPage: 3162
    Subjects:
      – SubjectFull: Stochastic difference equations
        Type: general
      – SubjectFull: Analytical solutions
        Type: general
      – SubjectFull: Actuators
        Type: general
      – SubjectFull: Probability theory
        Type: general
    Titles:
      – TitleFull: Optimal control for networked control system with Markovian packet loss and delay.
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            NameFull: Wang, Hongxia
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            NameFull: Liu, Tao
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            NameFull: Li, Zixing
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            NameFull: Liang, Xiao
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          Dates:
            – D: 01
              M: 11
              Text: Nov2024
              Type: published
              Y: 2024
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              Value: 15618625
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              Value: 26
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              Value: 6
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            – TitleFull: Asian Journal of Control
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