Nonlinear Systems with Uncertain Periodically Disturbed Control Gain Functions: Adaptive Fuzzy Control with Invariance Properties

Maolong Lv, Bart De Schutter, Wenwu Yu, Wenqian Zhang, Simone Baldi

Research output: Contribution to journalArticleScientificpeer-review

7 Citations (Scopus)
18 Downloads (Pure)

Abstract

This paper proposes a novel adaptive fuzzy dynamic surface control (DSC) method for an extended class of periodically disturbed strict-feedback nonlinear systems. The peculiarity of this extended class is that the control gain functions are not bounded a priori but simply taken to be continuous and with a known sign. In contrast with existing strategies, controllability must be guaranteed by constructing appropriate compact sets ensuring that all trajectories in the closed-loop system never leave these sets. We manage to do this by means of invariant set theory in combination with the Lyapunov theory. In other words, boundedness is achieved a posteriori as a result of stability analysis. The approximator composed of fuzzy logic systems and Fourier series expansion is constructed to deal with the unknown periodic disturbance terms.

Original languageEnglish
Pages (from-to)746-757
JournalIEEE Transactions on Fuzzy Systems
Volume28
Issue number4
DOIs
Publication statusPublished - 2020

Keywords

  • Adaptive fuzzy control
  • dynamic surface control (DSC)
  • invariant set theory
  • periodic disturbances

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