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Finite‐time L1 bumpless transfer control for switched positive delayed systems: A state‐dependent limited frequency switching scheme.

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Title: Finite‐time L1 bumpless transfer control for switched positive delayed systems: A state‐dependent limited frequency switching scheme.
Authors: Wang, Peng, Lin, Pin, Zhang, Hehong, Zhao, Ying, Sang, Hong, Dimirovski, Georgi M.
Source: International Journal of Robust & Nonlinear Control; 9/10/2024, Vol. 34 Issue 13, p9166-9181, 16p
Subject Terms: POSITIVE systems, FUNCTIONALS, OPTIMISM
Abstract: This work is concerned with the L1$$ {L}_1 $$ bumpless transfer control issue for switched positive delayed systems on finite horizons. A bumpless transfer input scheme and a state‐dependent limited frequency switching scheme, induced by the transient control input discontinuities during controller switching and by the frequent switching for multiple subsystems, respectively, are jointly introduced. The main advantages of the presented schemes are that the amplitude of the control input discontinuities and the frequent switches are all reduced by the dual design of bumpless transfer controllers for subsystems and a state‐dependent limited frequency switching scheme. By utilizing the multiple linear copositive Lyapunov functionals, sufficient conditions are also offered so as to achieve the desirable closed‐loop performances, including positivity, finite‐time boundedness, bumpless transfer property and a prescribed L1$$ {L}_1 $$‐gain property. Finally, a practical example is borrowed which validates the proposed schemes. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Robust & Nonlinear 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: Finite‐time L<subscript>1</subscript> bumpless transfer control for switched positive delayed systems: A state‐dependent limited frequency switching scheme.
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  Data: <searchLink fieldCode="AR" term="%22Wang%2C+Peng%22">Wang, Peng</searchLink><br /><searchLink fieldCode="AR" term="%22Lin%2C+Pin%22">Lin, Pin</searchLink><br /><searchLink fieldCode="AR" term="%22Zhang%2C+Hehong%22">Zhang, Hehong</searchLink><br /><searchLink fieldCode="AR" term="%22Zhao%2C+Ying%22">Zhao, Ying</searchLink><br /><searchLink fieldCode="AR" term="%22Sang%2C+Hong%22">Sang, Hong</searchLink><br /><searchLink fieldCode="AR" term="%22Dimirovski%2C+Georgi+M%2E%22">Dimirovski, Georgi M.</searchLink>
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  Data: International Journal of Robust & Nonlinear Control; 9/10/2024, Vol. 34 Issue 13, p9166-9181, 16p
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  Data: <searchLink fieldCode="DE" term="%22POSITIVE+systems%22">POSITIVE systems</searchLink><br /><searchLink fieldCode="DE" term="%22FUNCTIONALS%22">FUNCTIONALS</searchLink><br /><searchLink fieldCode="DE" term="%22OPTIMISM%22">OPTIMISM</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This work is concerned with the L1$$ {L}_1 $$ bumpless transfer control issue for switched positive delayed systems on finite horizons. A bumpless transfer input scheme and a state‐dependent limited frequency switching scheme, induced by the transient control input discontinuities during controller switching and by the frequent switching for multiple subsystems, respectively, are jointly introduced. The main advantages of the presented schemes are that the amplitude of the control input discontinuities and the frequent switches are all reduced by the dual design of bumpless transfer controllers for subsystems and a state‐dependent limited frequency switching scheme. By utilizing the multiple linear copositive Lyapunov functionals, sufficient conditions are also offered so as to achieve the desirable closed‐loop performances, including positivity, finite‐time boundedness, bumpless transfer property and a prescribed L1$$ {L}_1 $$‐gain property. Finally, a practical example is borrowed which validates the proposed schemes. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Robust & Nonlinear 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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        Value: 10.1002/rnc.7454
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      – Code: eng
        Text: English
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        Type: general
      – SubjectFull: FUNCTIONALS
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      – SubjectFull: OPTIMISM
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      – TitleFull: Finite‐time L1 bumpless transfer control for switched positive delayed systems: A state‐dependent limited frequency switching scheme.
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              M: 09
              Text: 9/10/2024
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              Y: 2024
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