Adaptive Fuzzy Control of Nonlinear Systems with Unmodeled Dynamics and Input Saturation Using Small-Gain Approach

Qi Zhou, Hongyi Li, Chengwei Wu, Lijie Wang, Choon Ki Ahn

Research output: Contribution to journalArticle

142 Citations (Scopus)

Abstract

This paper investigates the problem of adaptive fuzzy state-feedback control for a category of single-input and single-output nonlinear systems in nonstrict-feedback form. Unmodeled dynamics and input constraint are considered in the system. Fuzzy logic systems are employed to identify unknown nonlinear characteristics existing in systems. An appropriate Lyapunov function is chosen to ensure unmodeled dynamics to be input-to-state practically stable. A smooth function is introduced to tackle input saturation. In order to overcome the difficulty of controller design for nonstrict-feedback system in backstepping design process, a variables separation method is introduced. Moreover, based on small-gain technique, an adaptive fuzzy controller is designed to guarantee all the signals of the resulting closed-loop system to be bounded. Finally, two illustrative examples are given to validate the effectiveness of the new design techniques.

Original languageEnglish
Article number7572123
Pages (from-to)1979-1989
Number of pages11
JournalIEEE Transactions on Systems, Man, and Cybernetics: Systems
Volume47
Issue number8
DOIs
Publication statusPublished - 2017 Aug 1

Fingerprint

Fuzzy control
Nonlinear systems
Feedback
Controllers
Backstepping
Lyapunov functions
State feedback
Closed loop systems
Fuzzy logic
Feedback control

Keywords

  • Adaptive control
  • backstepping
  • fuzzy logic systems
  • nonstrict-feedback system
  • small gain approach

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Information Systems
  • Human-Computer Interaction
  • Computer Science Applications
  • Electrical and Electronic Engineering

Cite this

Adaptive Fuzzy Control of Nonlinear Systems with Unmodeled Dynamics and Input Saturation Using Small-Gain Approach. / Zhou, Qi; Li, Hongyi; Wu, Chengwei; Wang, Lijie; Ahn, Choon Ki.

In: IEEE Transactions on Systems, Man, and Cybernetics: Systems, Vol. 47, No. 8, 7572123, 01.08.2017, p. 1979-1989.

Research output: Contribution to journalArticle

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