Observer-Based T-S Fuzzy Control for a Class of General Nonaffine Nonlinear Systems Using Generalized Projection-Update Laws

In this paper, we propose an online observer-based Takagi-Sugeno (T-S) fuzzy-output tracking-control technique and an improved generalized projection-update law for a class of general nonaffine nonlinear systems with unknown functions and external disturbances. First, a T-S fuzzy model and a mean-va...

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Bibliographic Details
Published in:IEEE transactions on fuzzy systems 2011-06, Vol.19 (3), p.493-504
Main Authors: Wang, Wei-Yen, Chien, Yi-Hsing, Lee, Tsu-Tian
Format: Article
Language:English
Subjects:
Adaptation model
Adjustable
Computer simulation
Dynamical systems
Fuzzy control
Fuzzy logic
Laws
Mathematical model
Mathematical models
Neural networks
Nonaffine nonlinear system
Nonlinear dynamics
Nonlinear systems
Observers
projection-update law
Studies
Takagi-Sugeno (T-S) fuzzy model
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Summary:In this paper, we propose an online observer-based Takagi-Sugeno (T-S) fuzzy-output tracking-control technique and an improved generalized projection-update law for a class of general nonaffine nonlinear systems with unknown functions and external disturbances. First, a T-S fuzzy model and a mean-value estimation technique are adopted to approximate a so-called virtual linearized system (VLS) of a real system and avoiding a high-order derivative problem, respectively. Second, a novel design concept combining the T-S fuzzy controller, observer, and tuning algorithm by neural networks is proposed to improve system performance. After that, we also use improved generalized projection-update laws, which prevent parameters drift and confine adjustable parameters to the specified regions, to tune adjustable parameters. As a result, both the stability guarantee based on strictly positive real (SPR) Lyapunov theory and Barbalat's lemma and the better tracking performance are concluded. To illustrate the effectiveness of the proposed T-S fuzzy controller and observer-design methodology, numerical simulation results are given in this paper.
ISSN:1063-6706
1941-0034
DOI:10.1109/TFUZZ.2011.2114888