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Bound H-infinity Control of CSTRs Subject to Asymmetric Prescribed Performance under Unknown Initial Tracking Conditions.

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Title: Bound H-infinity Control of CSTRs Subject to Asymmetric Prescribed Performance under Unknown Initial Tracking Conditions.
Authors: Liu, Xinen1 221081100045@stu.ustl.edu.cn, Wang, Yuchen2 3028899566@qq.com, Du, Zhongbo3 24468336@qq.com, Wang, Yiyang4 40502022@qq.com, Guo, Haifeng3 guohaifeng15@mails.ucas.edu.cn, Qu, Qiang5 quqiang@ustl.edu.cn
Source: IAENG International Journal of Applied Mathematics. Apr2026, Vol. 56 Issue 4, p1506-1516. 11p.
Subjects: Continuous flow reactors, Adaptive control systems, Lyapunov stability, Backstepping control method, Artificial neural networks, Robust control
Abstract: An adaptive tracking control method based on an asymmetric prescribed performance function is proposed to address the control challenges of continuous stirred tank reactor systems. Compared to the limitations of traditional symmetric prescribed performance control--namely, excessive constraint space in the initial phase leading to insufficient suppression of tracking error fluctuations and the requirement to assume the initial value of tracking error lies within the constraint space--this paper integrates the use of obstacle Lyapunov functions, novel asymmetric prescribed performance functions, neural networks, dynamic surfaces, hyperbolic tangent functions, and the backstepping method. This approach designs an asymmetric prescribed performance controller with an innovative structure. The stability of the closed-loop system is demonstrated through Lyapunov stability theory, ensuring tracking error convergence within the equilibrium neighborhood. This approach eliminates dependency on traditional prescribed performance initial conditions, reduces tracking error fluctuations, and enhances system robustness against external disturbances. Simulation results validate the effectiveness and superiority of the control strategy. [ABSTRACT FROM AUTHOR]
Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) 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: Bound H-infinity Control of CSTRs Subject to Asymmetric Prescribed Performance under Unknown Initial Tracking Conditions.
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  Data: <searchLink fieldCode="AR" term="%22Liu%2C+Xinen%22">Liu, Xinen</searchLink><relatesTo>1</relatesTo><i> 221081100045@stu.ustl.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Wang%2C+Yuchen%22">Wang, Yuchen</searchLink><relatesTo>2</relatesTo><i> 3028899566@qq.com</i><br /><searchLink fieldCode="AR" term="%22Du%2C+Zhongbo%22">Du, Zhongbo</searchLink><relatesTo>3</relatesTo><i> 24468336@qq.com</i><br /><searchLink fieldCode="AR" term="%22Wang%2C+Yiyang%22">Wang, Yiyang</searchLink><relatesTo>4</relatesTo><i> 40502022@qq.com</i><br /><searchLink fieldCode="AR" term="%22Guo%2C+Haifeng%22">Guo, Haifeng</searchLink><relatesTo>3</relatesTo><i> guohaifeng15@mails.ucas.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Qu%2C+Qiang%22">Qu, Qiang</searchLink><relatesTo>5</relatesTo><i> quqiang@ustl.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Apr2026, Vol. 56 Issue 4, p1506-1516. 11p.
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  Data: <searchLink fieldCode="DE" term="%22Continuous+flow+reactors%22">Continuous flow reactors</searchLink><br /><searchLink fieldCode="DE" term="%22Adaptive+control+systems%22">Adaptive control systems</searchLink><br /><searchLink fieldCode="DE" term="%22Lyapunov+stability%22">Lyapunov stability</searchLink><br /><searchLink fieldCode="DE" term="%22Backstepping+control+method%22">Backstepping control method</searchLink><br /><searchLink fieldCode="DE" term="%22Artificial+neural+networks%22">Artificial neural networks</searchLink><br /><searchLink fieldCode="DE" term="%22Robust+control%22">Robust control</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: An adaptive tracking control method based on an asymmetric prescribed performance function is proposed to address the control challenges of continuous stirred tank reactor systems. Compared to the limitations of traditional symmetric prescribed performance control--namely, excessive constraint space in the initial phase leading to insufficient suppression of tracking error fluctuations and the requirement to assume the initial value of tracking error lies within the constraint space--this paper integrates the use of obstacle Lyapunov functions, novel asymmetric prescribed performance functions, neural networks, dynamic surfaces, hyperbolic tangent functions, and the backstepping method. This approach designs an asymmetric prescribed performance controller with an innovative structure. The stability of the closed-loop system is demonstrated through Lyapunov stability theory, ensuring tracking error convergence within the equilibrium neighborhood. This approach eliminates dependency on traditional prescribed performance initial conditions, reduces tracking error fluctuations, and enhances system robustness against external disturbances. Simulation results validate the effectiveness and superiority of the control strategy. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) 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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      – Code: eng
        Text: English
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        PageCount: 11
        StartPage: 1506
    Subjects:
      – SubjectFull: Continuous flow reactors
        Type: general
      – SubjectFull: Adaptive control systems
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      – SubjectFull: Lyapunov stability
        Type: general
      – SubjectFull: Backstepping control method
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      – SubjectFull: Artificial neural networks
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      – SubjectFull: Robust control
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      – TitleFull: Bound H-infinity Control of CSTRs Subject to Asymmetric Prescribed Performance under Unknown Initial Tracking Conditions.
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              M: 04
              Text: Apr2026
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              Y: 2026
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