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Decentralized piecewise control for large-scale T-S fuzzy systems with time-varying delay

  • Harbin Institute of Technology

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The problem of decentralized piecewise h control for discrete-time large-scale nonlinear systems with time-varying delay is studied. Each nonlinear subsystem in the large-scale system is represented by a Takagi-Sugeno (T-S) model, and the time-varying state delay of each subsystem is assumed to be of an interval-like type. We propose a two-term approximation method to transform the closed-loop fuzzy control system into an interconnected formulation, which is subject to two constant time delays in the forward path and norm-bounded uncertainties in the feedback one. By introducing a piecewise Lyapunov-Krasovskii functional (PLKF) and utilizing the scaled small gain (SSG) theorem, the LMI conditions to the decentralized piecewise memory h state-feedback controller design for the large-scale fuzzy systems are derived. An example is provided to verify the efficacy of the proposed method.

Original languageEnglish
Title of host publicationFUZZ-IEEE 2015 - IEEE International Conference on Fuzzy Systems
EditorsAdnan Yazici, Nikhil R. Pal, Uzay Kaymak, Trevor Martin, Hisao Ishibuchi, Chin-Teng Lin, Joao M. C. Sousa, Bulent Tutmez
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781467374286
DOIs
StatePublished - 25 Nov 2015
Event2015 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2015 - Istanbul, Turkey
Duration: 2 Aug 20155 Aug 2015

Publication series

NameIEEE International Conference on Fuzzy Systems
Volume2015-November
ISSN (Print)1098-7584

Conference

Conference2015 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2015
Country/TerritoryTurkey
CityIstanbul
Period2/08/155/08/15

Keywords

  • Approximation methods
  • Delays
  • Fuzzy control
  • Large-scale systems
  • Nonlinear systems
  • Time-varying systems

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