Time-delayed feedback control of chaotic T-S fuzzy systems

Min Kook Song, Jin Bae Park, Young Hoon Joo

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

Abstract

This paper deals with the time-delayed feedback control of periodic orbits in the chaotic T-S fuzzy systems. A chaotic system has embedded within it an infinite number of unstable periodic orbits (UPO's). Tracking UPO's is of particular interest in chaos-control research. A novel and efficient idea is to control by means of time-delayed feedback control (TDFC). Recently, a number of analytic T-S fuzzy systems for the chaotic systems have been found. Thus it is interesting to design a controller under the framework of TDFC. A analytic sufficient condition for the chaotic T-S fuzzy systems from the TDFC approach is derived in terms of linear matrix inequalities (LMIs). A gradient-decent based adaptation algorithm is incorporated with the fuzzy-model-based TDFC to estimate the period of the UPO. The established theoretical results are clarified by the numerical example.

Original languageEnglish
Title of host publicationProceedings - 2011 IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2011
Pages387-392
Number of pages6
DOIs
Publication statusPublished - 2011
Event2011 IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2011 - Penang, Malaysia
Duration: 2011 Nov 252011 Nov 27

Publication series

NameProceedings - 2011 IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2011

Other

Other2011 IEEE International Conference on Control System, Computing and Engineering, ICCSCE 2011
CountryMalaysia
CityPenang
Period11/11/2511/11/27

All Science Journal Classification (ASJC) codes

  • Computer Science (miscellaneous)
  • Control and Systems Engineering

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