On the nonlinear fuzzy regulation for under-actuated systems

J. A. Meda-Campaña, B. Castillo-Toledo, Victor Zúñiga

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

13 Scopus citations

Abstract

In this paper, the Takagi-Sugeno (TS) fuzzy modelling and the nonlinear regulation theory are combined in order to construct a controller capable of taking the output of the fuzzy plant to the reference signal generated by an external system. The fuzzy modelling allows the controller to be designed by means of numerical techniques while the resulting stability region is larger than those obtained when simple linear controllers are used to stabilize nonlinear systems. On the other hand, it is well-known that a fuzzy regulator constructed from linear controllers does not solve the regulation problem in general [4]. Therefore, a fully nonlinear regulator is considered in this work. The results are applied on the pendubot, which is an underactuated electromechanical system with very complex nonlinear dynamics.

Original languageEnglish
Title of host publication2006 IEEE International Conference on Fuzzy Systems
Pages2195-2202
Number of pages8
DOIs
StatePublished - 2006
Externally publishedYes
Event2006 IEEE International Conference on Fuzzy Systems - Vancouver, BC, Canada
Duration: 16 Jul 200621 Jul 2006

Publication series

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

Conference

Conference2006 IEEE International Conference on Fuzzy Systems
Country/TerritoryCanada
CityVancouver, BC
Period16/07/0621/07/06

Keywords

  • Fuzzy systems
  • LMIs
  • Nonlinear systems
  • Regulation theory
  • Takagi-Sugeno modelling

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