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

Corresponding Author:[email protected]

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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.
23 May 2021Submitted to Mathematical Methods in the Applied Sciences
24 May 2021Submission Checks Completed
24 May 2021Assigned to Editor
01 Jun 2021Reviewer(s) Assigned
08 Sep 2021Review(s) Completed, Editorial Evaluation Pending
02 Oct 2021Editorial Decision: Revise Major
08 Dec 20211st Revision Received
09 Dec 2021Submission Checks Completed
09 Dec 2021Assigned to Editor
15 Dec 2021Reviewer(s) Assigned
23 Dec 2021Review(s) Completed, Editorial Evaluation Pending
31 Dec 2021Editorial Decision: Revise Minor
04 Jan 20222nd Revision Received
05 Jan 2022Submission Checks Completed
05 Jan 2022Assigned to Editor
15 Jan 2022Reviewer(s) Assigned
16 Jan 2022Review(s) Completed, Editorial Evaluation Pending
31 Jan 2022Editorial Decision: Revise Minor
25 Feb 20223rd Revision Received
01 Mar 2022Submission Checks Completed
01 Mar 2022Assigned to Editor
03 Mar 2022Reviewer(s) Assigned
03 Mar 2022Review(s) Completed, Editorial Evaluation Pending
05 Mar 2022Editorial Decision: Accept
03 Sep 2022Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.8660