L1-Gain Control Design for Positive 2D Continuous Delayed Systems

Zhaoxia Duan, Yue Sun, Choon Ki Ahn, Zhengrong Xiang, Imran Ghous

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


L1 -gain control design is investigated in the brief for positive two-dimensional (2D) continuous delayed systems in the form of Roesser models. A new approach based on 2D Laplace transformation is presented to analyze L1 -gain stability performance. By using the method of singular value decomposition, linear programming effectively solved the L1 -gain controller design problem. Finally, an example is provided to prove the correctness of the result.

Original languageEnglish
Pages (from-to)1317-1321
Number of pages5
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
Issue number3
Publication statusPublished - 2022 Mar 1

Bibliographical note

Funding Information:
This work was supported in part by the National Natural Science Foundation of China under Grant 61703137 and Grant 61873128; in part by the National Research Foundation of Korea (NRF) Grant funded by the Korea Government (Ministry of Science and ICT) under Grant NRF-2020R1A2C1005449; in part by China Postdoctoral Science Foundation funded Project under Grant 2020M671293; in part by Jiangsu Planned Projects for Postdoctoral Research Fund under Grant 2020Z125; and in part by the Fundamental Research Funds for the Central Universities under Grant B210202061.

Publisher Copyright:
© 2004-2012 IEEE.


  • Delays
  • L -gain
  • Positive system
  • Roesser model

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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