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Switched Control for Uncertain Switched Fuzzy Time-Varying Delay Systems with Actuator Saturation.

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Title: Switched Control for Uncertain Switched Fuzzy Time-Varying Delay Systems with Actuator Saturation.
Authors: Zhang, Yu1 (AUTHOR) zy1115493@163.com, Yang, Hong1 (AUTHOR) cherryyh@126.com, Ma, Hongyuan1 (AUTHOR) 17731406239@163.com
Source: International Journal of Fuzzy Systems. Jun2026, Vol. 28 Issue 4, p1236-1250. 15p.
Subject Terms: Fuzzy systems, Time delay systems, Chemical process control, Stability theory, Lyapunov functions, Control theory (Engineering), Convex programming
Abstract: The problem of stable control for uncertain switched fuzzy time-varying delay systems, subject to disturbances and actuator saturation, is investigated in this study. The system is modeled using the Takagi–Sugeno (T–S) fuzzy model, with the saturation function represented through a convex combination approach. To ensure the stability of the closed-loop system, we designed a switching law along with a memory state feedback saturation robust (MSFSR) controller. Notably, this controller incorporates a time-varying delay function that facilitates the inclusion of past state information while reducing system conservatism. Based on multiple Lyapunov functions, sufficient conditions for the asymptotic stability of the system are established. Furthermore, the estimation of the region of attraction under saturation constraints is reformulated as a convex optimization problem, represented by a set of linear matrix inequalities aimed at maximizing this estimation. Finally, numerical examples and real-world cases from chemical processes in continuously stirred tank reactors (CSTR) are presented to validate the proposed approach's feasibility. [ABSTRACT FROM AUTHOR]
Database: Supplemental Index
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  – Url: https://dx.doi.org/doi:10.1007/s40815-025-02014-z
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An: 194611338
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PubType: Academic Journal
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PreciseRelevancyScore: 1060.76538085938
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  Label: Title
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  Data: Switched Control for Uncertain Switched Fuzzy Time-Varying Delay Systems with Actuator Saturation.
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  Data: <searchLink fieldCode="AR" term="%22Zhang%2C+Yu%22">Zhang, Yu</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> zy1115493@163.com</i><br /><searchLink fieldCode="AR" term="%22Yang%2C+Hong%22">Yang, Hong</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> cherryyh@126.com</i><br /><searchLink fieldCode="AR" term="%22Ma%2C+Hongyuan%22">Ma, Hongyuan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> 17731406239@163.com</i>
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Fuzzy+Systems%22">International Journal of Fuzzy Systems</searchLink>. Jun2026, Vol. 28 Issue 4, p1236-1250. 15p.
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Fuzzy+systems%22">Fuzzy systems</searchLink><br /><searchLink fieldCode="DE" term="%22Time+delay+systems%22">Time delay systems</searchLink><br /><searchLink fieldCode="DE" term="%22Chemical+process+control%22">Chemical process control</searchLink><br /><searchLink fieldCode="DE" term="%22Stability+theory%22">Stability theory</searchLink><br /><searchLink fieldCode="DE" term="%22Lyapunov+functions%22">Lyapunov functions</searchLink><br /><searchLink fieldCode="DE" term="%22Control+theory+%28Engineering%29%22">Control theory (Engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22Convex+programming%22">Convex programming</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The problem of stable control for uncertain switched fuzzy time-varying delay systems, subject to disturbances and actuator saturation, is investigated in this study. The system is modeled using the Takagi–Sugeno (T–S) fuzzy model, with the saturation function represented through a convex combination approach. To ensure the stability of the closed-loop system, we designed a switching law along with a memory state feedback saturation robust (MSFSR) controller. Notably, this controller incorporates a time-varying delay function that facilitates the inclusion of past state information while reducing system conservatism. Based on multiple Lyapunov functions, sufficient conditions for the asymptotic stability of the system are established. Furthermore, the estimation of the region of attraction under saturation constraints is reformulated as a convex optimization problem, represented by a set of linear matrix inequalities aimed at maximizing this estimation. Finally, numerical examples and real-world cases from chemical processes in continuously stirred tank reactors (CSTR) are presented to validate the proposed approach's feasibility. [ABSTRACT FROM AUTHOR]
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1007/s40815-025-02014-z
    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 15
        StartPage: 1236
    Subjects:
      – SubjectFull: Fuzzy systems
        Type: general
      – SubjectFull: Time delay systems
        Type: general
      – SubjectFull: Chemical process control
        Type: general
      – SubjectFull: Stability theory
        Type: general
      – SubjectFull: Lyapunov functions
        Type: general
      – SubjectFull: Control theory (Engineering)
        Type: general
      – SubjectFull: Convex programming
        Type: general
    Titles:
      – TitleFull: Switched Control for Uncertain Switched Fuzzy Time-Varying Delay Systems with Actuator Saturation.
        Type: main
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            NameFull: Zhang, Yu
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            NameFull: Yang, Hong
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            NameFull: Ma, Hongyuan
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          Dates:
            – D: 01
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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            – Type: issn-print
              Value: 15622479
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              Value: 28
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              Value: 4
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            – TitleFull: International Journal of Fuzzy Systems
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