Reliable tracking control for switching positive systems under novel switching strategy.

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Title: Reliable tracking control for switching positive systems under novel switching strategy.
Authors: Zhang, Le1 (AUTHOR), Ma, Hongyuan2 (AUTHOR) 17731406239@163.com, Yang, Hong2 (AUTHOR), Zhao, Ying3 (AUTHOR)
Source: Asian Journal of Control. May2026, Vol. 28 Issue 3, p1494-1514. 21p.
Subject Terms: *Positive systems, *Tracking control systems, *Feedback control systems, *Observability (Control theory), *Lyapunov stability, *Adaptive control systems
Abstract: In this paper, we construct a switching positive system model with interference. An adaptive event‐triggering strategy, which is suitable for a positive system, is designed. Subsequently, integrated with the adaptive event‐triggering mechanism and a state observer, we measure the system's state variables and establish an error‐based closed‐loop control system. Next, we propose a reference model within which we design a reliable tracking controller capable of addressing the actuator saturation problem. And then, combined with the output feedback control strategy, the system can stably track this model to reduce the risk of interference and improve control accuracy. Finally, we construct a multiple common‐positive Lyapunov function and verify the positivity and global uniformly exponentially stability (GUES) of the system under L1$$ {L}_1 $$ gain performance. Simultaneously, the article proposes a novel switching policy that combines a state‐driven switching method with a time‐varying model‐dependent dwell‐time switching strategy. The novel switching strategy addresses the issue of system chattering that may occur in the later stage with the original state‐driven switching strategy. Additionally, the optimized event‐triggering control strategy allows for proper adjustment of the tightness of the event‐triggering process, thereby enhancing control efficiency. Finally, we ascertain the cone attraction domain of the system state, and an example from a communication data network will validate the effectiveness of our design. [ABSTRACT FROM AUTHOR]
Database: Energy & Power Source
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Reliable tracking control for switching positive systems under novel switching strategy.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Zhang%2C+Le%22">Zhang, Le</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ma%2C+Hongyuan%22">Ma, Hongyuan</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> 17731406239@163.com</i><br /><searchLink fieldCode="AR" term="%22Yang%2C+Hong%22">Yang, Hong</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zhao%2C+Ying%22">Zhao, Ying</searchLink><relatesTo>3</relatesTo> (AUTHOR)
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Asian+Journal+of+Control%22">Asian Journal of Control</searchLink>. May2026, Vol. 28 Issue 3, p1494-1514. 21p.
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: *<searchLink fieldCode="DE" term="%22Positive+systems%22">Positive systems</searchLink><br />*<searchLink fieldCode="DE" term="%22Tracking+control+systems%22">Tracking control systems</searchLink><br />*<searchLink fieldCode="DE" term="%22Feedback+control+systems%22">Feedback control systems</searchLink><br />*<searchLink fieldCode="DE" term="%22Observability+%28Control+theory%29%22">Observability (Control theory)</searchLink><br />*<searchLink fieldCode="DE" term="%22Lyapunov+stability%22">Lyapunov stability</searchLink><br />*<searchLink fieldCode="DE" term="%22Adaptive+control+systems%22">Adaptive control systems</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In this paper, we construct a switching positive system model with interference. An adaptive event‐triggering strategy, which is suitable for a positive system, is designed. Subsequently, integrated with the adaptive event‐triggering mechanism and a state observer, we measure the system's state variables and establish an error‐based closed‐loop control system. Next, we propose a reference model within which we design a reliable tracking controller capable of addressing the actuator saturation problem. And then, combined with the output feedback control strategy, the system can stably track this model to reduce the risk of interference and improve control accuracy. Finally, we construct a multiple common‐positive Lyapunov function and verify the positivity and global uniformly exponentially stability (GUES) of the system under L1$$ {L}_1 $$ gain performance. Simultaneously, the article proposes a novel switching policy that combines a state‐driven switching method with a time‐varying model‐dependent dwell‐time switching strategy. The novel switching strategy addresses the issue of system chattering that may occur in the later stage with the original state‐driven switching strategy. Additionally, the optimized event‐triggering control strategy allows for proper adjustment of the tightness of the event‐triggering process, thereby enhancing control efficiency. Finally, we ascertain the cone attraction domain of the system state, and an example from a communication data network will validate the effectiveness of our design. [ABSTRACT FROM AUTHOR]
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1002/asjc.3762
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 21
        StartPage: 1494
    Subjects:
      – SubjectFull: Positive systems
        Type: general
      – SubjectFull: Tracking control systems
        Type: general
      – SubjectFull: Feedback control systems
        Type: general
      – SubjectFull: Observability (Control theory)
        Type: general
      – SubjectFull: Lyapunov stability
        Type: general
      – SubjectFull: Adaptive control systems
        Type: general
    Titles:
      – TitleFull: Reliable tracking control for switching positive systems under novel switching strategy.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Zhang, Le
      – PersonEntity:
          Name:
            NameFull: Ma, Hongyuan
      – PersonEntity:
          Name:
            NameFull: Yang, Hong
      – PersonEntity:
          Name:
            NameFull: Zhao, Ying
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 15618625
          Numbering:
            – Type: volume
              Value: 28
            – Type: issue
              Value: 3
          Titles:
            – TitleFull: Asian Journal of Control
              Type: main
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