Stability Analysis for Mamdani-Type Integral Fuzzy-Based Sliding-Mode Control of Systems Under Persistent Disturbances

Pablo J. Prieto, Luis T. Aguilar, Selene L. Cardenas-Maciel, Jorge A. Lopez-Renteria, Nohe R. Cazarez-Castro

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

Unmatched disturbances affect most of the mechanical systems, and finding conditions in the controllers for its attenuation still represent a challenge. We present sufficient conditions to guarantee asymptotic stability of single-input single-output systems driven by integral fuzzy-based sliding-mode control. The stability analysis made in the Lyapunov framework gives the tuning conditions of the fuzzy system to preserve the robustness against bounded persistent, matched, and unmatched disturbances. The theoretical results are numerically and experimentally validated in a one-link pendulum.

Original languageEnglish
Pages (from-to)1640-1647
Number of pages8
JournalIEEE Transactions on Fuzzy Systems
Volume30
Issue number6
DOIs
StatePublished - 1 Jun 2022

Keywords

  • Integral fuzzy-based sliding-mode control
  • persistent disturbances
  • stability analysis

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