Reference
Zs. Lendek, R. Babuška, and B. De Schutter, "Stability bounds for fuzzy
estimation and control,"
Control Engineering and Applied
Informatics, vol. 12, no. 3, pp. 3-12, 2010.
Abstract
A large class of nonlinear systems can be well approximated by Takagi-Sugeno
fuzzy models, for which methods and algorithms have been developed to analyze
their stability and to design observers and controllers. However, results
obtained for Takagi-Sugeno fuzzy models are in general not directly applicable
to the original nonlinear system. In this paper, we investigate what
conclusions can be drawn and what guarantees can be expected when an observer
or a state feedback controller is designed based on an approximate fuzzy model
and applied to the original nonlinear system. We also investigate the case when
an observer-based controller is designed for an approximate model and then
applied to the original nonlinear system. In particular, we consider that the
scheduling vector used in the membership functions of the observer depends on
the states that have to be estimated. The results are illustrated using
simulation examples.
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BibTeX
@article{LenBab:10-054,
author = {Lendek, {\relax Zs}{\'{o}}fia and Babu{\v{s}}ka, Robert and De
Schutter, Bart},
title = {Stability Bounds for Fuzzy Estimation and Control},
journal = {Control Engineering and Applied Informatics},
volume = {12},
number = {3},
pages = {3--12},
year = {2010}
}