The fuzzy Lyapunov function-based relaxed stabilization of output-feedback fuzzy control systems under imperfect premise matching

Hyeon Jun Lim, Jin Bae Park, Young Hoon Joo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper proposes the relaxed stabilization condition for the output-feedback Takagi-Sugeno (T-S) fuzzy control system. Most of previous papers have used the state-feedback fuzzy controller for the T-S fuzzy model based on parallel-distribution-compensation. However, the state-feedback fuzzy controller is sometimes difficult to be designed when some states are unavailable or inaccessible. This paper introduces the T-S fuzzy control method with the output-feedback fuzzy controller. Furthermore, to reduce the implementation costs caused by the complicated system membership functions, the output-feedback fuzzy controller is designed under the imperfect premise matching. However, the stabilization condition of the output-feedback fuzzy controller under the imperfect premise matching may be conservative. Therefore, for the relaxed condition, the fuzzy Lyapunov function is considered. Finally, the proposed approach is verified by the simulation.

Original languageEnglish
Title of host publication2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781509041114
DOIs
Publication statusPublished - 2017 Aug 8
Event2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016 - Taichung, Taiwan, Province of China
Duration: 2016 Nov 92016 Nov 11

Publication series

Name2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016

Other

Other2016 International Conference on Fuzzy Theory and Its Applications, iFuzzy 2016
CountryTaiwan, Province of China
CityTaichung
Period16/11/916/11/11

Bibliographical note

Funding Information:
Research supported by the Institute of BioMed-IT, Energy-IT and Smart-IT Technology (BEST), a Brain Korea 21 plus program, Yonsei University, by Barun lCT Research Center at Yonsei University, and by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2016RIA6AIA03013567).

All Science Journal Classification (ASJC) codes

  • Applied Mathematics
  • Logic

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