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Advanced controller design for uncertain linear systems with time-varying delays via augmented zero equality approach
  • +3
  • YongGwon Lee,
  • Youngjae Kim,
  • Seungho Kim,
  • Seunghoon Lee,
  • Myeongjin Park,
  • O. M. Kwon
YongGwon Lee
Chungbuk National University
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Youngjae Kim
Chungbuk National University
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Seungho Kim
Chungbuk National University
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Seunghoon Lee
Chungbuk National University
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Myeongjin Park
Kyung Hee University - Global Campus
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O. M. Kwon
Chungbuk National University
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Abstract

This paper deals with the stability analysis and controller design for linear systems with time-varying delays and parameter uncertainties. By choosing appropriate augmented Lyapunov-Krasovskii functionals, a set of Linear Matrix inequalities is derived to get advanced feasible region of stability, and controller gain matrices which guarantee the asymptotic stability of the concerned systems within maximum bound of time-delays and its time-derivative. To further reduce the conservatism of stabilization criterion a recently developed mathematical technique which constructed a new augmented zero equality is applied. Finally, two numerical examples are utilized to show the validity and superiority of the proposed methods.

Peer review status:UNDER REVIEW

23 May 2021Submitted to Mathematical Methods in the Applied Sciences
24 May 2021Assigned to Editor
24 May 2021Submission Checks Completed
01 Jun 2021Reviewer(s) Assigned
08 Sep 2021Review(s) Completed, Editorial Evaluation Pending