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Stabilisation of Markov jump systems under noisy sampling interval: A mode-holding-based sliding mode approach.

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Title: Stabilisation of Markov jump systems under noisy sampling interval: A mode-holding-based sliding mode approach.
Authors: Xu, Tianshu1,2 (AUTHOR) tsh_xu523@163.com, Niu, Yugang1,2 (AUTHOR) acniuyg@ecust.edu.cn, Xia, Jianwei1 (AUTHOR)
Source: Journal of the Franklin Institute. Jan2026, Vol. 363 Issue 2, pN.PAG-N.PAG. 1p.
Subjects: Markovian jump linear systems, Sliding mode control, Sampling errors, Stability theory, Particle swarm optimization, Robust control
Abstract: This paper is concerned with the sampled-data sliding mode control problem for a class of Markov jump systems, in which the sampling interval is susceptible to noise perturbation and the resulting sampling error is described by the categorical distribution. Different from the existing design of mode-synchronous/asynchronous controller within sampled-data case, a mode-holding-based control design method is well developed, that is, the controller mode is updated only at the instant of the sampled-state transmission, which is conducive to directly capture the affect of sampling behavior on mode observation. The sufficient conditions are derived to simultaneously guarantee the reachability of the sliding surface and the mean-square exponential ultimate boundedness of closed-loop systems. Meanwhile, the particle swarm optimization algorithm is used to solve the optimization problem aiming to enhance the closed-loop performance. Finally, a numerical example and an example of vertical take-off and landing helicopter model are given to verify the effectiveness of the proposed control method. [ABSTRACT FROM AUTHOR]
Copyright of Journal of the Franklin Institute is the property of Pergamon Press - An Imprint of Elsevier Science 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.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 191117529
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  Data: Stabilisation of Markov jump systems under noisy sampling interval: A mode-holding-based sliding mode approach.
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  Data: <searchLink fieldCode="AR" term="%22Xu%2C+Tianshu%22">Xu, Tianshu</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> tsh_xu523@163.com</i><br /><searchLink fieldCode="AR" term="%22Niu%2C+Yugang%22">Niu, Yugang</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> acniuyg@ecust.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Xia%2C+Jianwei%22">Xia, Jianwei</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+the+Franklin+Institute%22">Journal of the Franklin Institute</searchLink>. Jan2026, Vol. 363 Issue 2, pN.PAG-N.PAG. 1p.
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  Data: <searchLink fieldCode="DE" term="%22Markovian+jump+linear+systems%22">Markovian jump linear systems</searchLink><br /><searchLink fieldCode="DE" term="%22Sliding+mode+control%22">Sliding mode control</searchLink><br /><searchLink fieldCode="DE" term="%22Sampling+errors%22">Sampling errors</searchLink><br /><searchLink fieldCode="DE" term="%22Stability+theory%22">Stability theory</searchLink><br /><searchLink fieldCode="DE" term="%22Particle+swarm+optimization%22">Particle swarm optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Robust+control%22">Robust control</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper is concerned with the sampled-data sliding mode control problem for a class of Markov jump systems, in which the sampling interval is susceptible to noise perturbation and the resulting sampling error is described by the categorical distribution. Different from the existing design of mode-synchronous/asynchronous controller within sampled-data case, a mode-holding-based control design method is well developed, that is, the controller mode is updated only at the instant of the sampled-state transmission, which is conducive to directly capture the affect of sampling behavior on mode observation. The sufficient conditions are derived to simultaneously guarantee the reachability of the sliding surface and the mean-square exponential ultimate boundedness of closed-loop systems. Meanwhile, the particle swarm optimization algorithm is used to solve the optimization problem aiming to enhance the closed-loop performance. Finally, a numerical example and an example of vertical take-off and landing helicopter model are given to verify the effectiveness of the proposed control method. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of the Franklin Institute is the property of Pergamon Press - An Imprint of Elsevier Science 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:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/j.jfranklin.2025.108335
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 1
        StartPage: N.PAG
    Subjects:
      – SubjectFull: Markovian jump linear systems
        Type: general
      – SubjectFull: Sliding mode control
        Type: general
      – SubjectFull: Sampling errors
        Type: general
      – SubjectFull: Stability theory
        Type: general
      – SubjectFull: Particle swarm optimization
        Type: general
      – SubjectFull: Robust control
        Type: general
    Titles:
      – TitleFull: Stabilisation of Markov jump systems under noisy sampling interval: A mode-holding-based sliding mode approach.
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            NameFull: Xu, Tianshu
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            NameFull: Niu, Yugang
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            NameFull: Xia, Jianwei
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            – D: 15
              M: 01
              Text: Jan2026
              Type: published
              Y: 2026
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              Value: 363
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              Value: 2
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            – TitleFull: Journal of the Franklin Institute
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