Designing Type-1 and Type-2 Fuzzy Logic Controllers via Fuzzy Lyapunov Synthesis for nonsmooth mechanical systems

Nohe R. Cazarez-Castro, Luis T. Aguilar, Oscar Castillo

Research output: Contribution to journalArticlepeer-review

117 Scopus citations

Abstract

In this paper, Fuzzy Lyapunov Synthesis is extended to the design of Type-1 and Type-2 Fuzzy Logic Controllers for nonsmooth mechanical systems. The output regulation problem for a servomechanism with nonlinear backlash is proposed as a case of study. The problem at hand is to design a feedback controller so as to obtain the closed-loop system in which all trajectories are bounded and the load of the driver is regulated to a desired position while also attenuating the influence of external disturbances. The servomotor position is the only measurement available for feedback; the proposed extension is far from trivial because of the nonminimum phase properties of the system. Performance issues of the Type-1 and Type-2 Fuzzy Logic Regulators that were designed are illustrated in experimental studies.

Original languageEnglish
Pages (from-to)971-979
Number of pages9
JournalEngineering Applications of Artificial Intelligence
Volume25
Issue number5
DOIs
StatePublished - Aug 2012
Externally publishedYes

Keywords

  • Fuzzy Lyapunov Synthesis
  • Fuzzy control
  • Nonsmooth systems
  • Stability
  • Type-2 Fuzzy Systems

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