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Mixed ℓ₁/ℓ_ fault detection for positive 2-D systems with distributed delays

  • Zhaoxia Duan
    ,
  • Jinna Fu
    ,
  • Choon Ki Ahn
    ,
  • Zhengrong Xiang
    ,
  • Imran Ghous
Research Output:
Contribution to journal
Article
 Peer-review

Abstract

This work discusses the fault detection problem for two-dimensional (2-D) positive systems (PSs) with distributed delays. First, a systematic method is proposed for the computation of exact values of ℓ1 -gain and ℓ− index for delay-free systems, and the dimension expansion technique is used to transfer the computation of ℓ1/ℓ− index for 2-D delayed PSs to one of the delay-free systems. Second, necessary and sufficient conditions are established such that the 2-D delayed PSs are asymptotically stable with a desired ℓ1/ℓ− performance level (PL) γ/β . Third, based on the above results, some NCSs are established such that the disturbance and the fault impact on the output signal are minimized and maximized, respectively. An algorithm (iterative) is formulated for the solution of the convex optimization problem. Finally, the potency and accuracy of the developed theoretical results are exhibited by an example.

Publication Information

Output type

Research Output:
Contribution to journal
Article
 Peer-review

Original language

English

Pages from-to (Number of pages)

Pages 7090 - 7100 (11 pages)

Journal (Volume, Issue Number)

IEEE Transactions on Systems, Man, and Cybernetics: Systems (Volume 52, Issue 11)

Publication milestones

  • Published - 16/02/2022

Publication status

Published - 16/02/2022

ISSN

2168-2216

Publication IDs

  • ORCID: /0000-0002-8215-4315/work/118801515
  • Scopus: 85124845754

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