On-line modeling and control via T-S fuzzy models for nonaffine nonlinear systems using a second type adaptive fuzzy approach

Wei-Yen Wang, I. Hsum Li, Li Chuan Chien, Shun Feng Su

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

This paper proposes a novel method for on-line modeling and robust adaptive control via Takagi-Sugeno (T-S) fuzzy models for nonaffine nonlinear systems, with external disturbances. The T-S fuzzy model is established to approximate the nonaffine nonlinear dynamic system in a linearized way. The so-called second type adaptive law is adopted, where not only the consequent part (the weighting factors) of fuzzy implications but also the antecedent part (the membership functions) of fuzzy implications are adjusted. Fuzzy B-spline membership functions (BMFs) are used for on-line tuning. Furthermore, the effect of all the unmodeled dynamics, BMF modeling errors and external disturbances on the tracking error is attenuated by a fuzzy error compensator which is also constructed from the T-S fuzzy model. In this paper, we can prove that the closed-loop system which is controlled by the proposed controller is stable and the tracking error will converge to zero. Three examples are simulated in order to confirm the effectiveness and applicability of the proposed methods in this paper.

Original languageEnglish
Pages (from-to)152-161
Number of pages10
JournalInternational Journal of Fuzzy Systems
Volume9
Issue number3
Publication statusPublished - 2007 Sep 1

Fingerprint

Takagi-Sugeno Fuzzy Model
Membership Function
Fuzzy Implication
Nonlinear systems
B-spline Function
Membership functions
Nonlinear Systems
Disturbance
Modeling
Splines
Robust Adaptive Control
Unmodeled Dynamics
Nonlinear Dynamic System
Modeling Error
Compensator
Closed-loop System
Weighting
Tuning
Closed loop systems
Converge

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Computational Theory and Mathematics
  • Artificial Intelligence

Cite this

On-line modeling and control via T-S fuzzy models for nonaffine nonlinear systems using a second type adaptive fuzzy approach. / Wang, Wei-Yen; Li, I. Hsum; Chien, Li Chuan; Su, Shun Feng.

In: International Journal of Fuzzy Systems, Vol. 9, No. 3, 01.09.2007, p. 152-161.

Research output: Contribution to journalArticle

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