Reference
Zs. Lendek, J. Lauber,
T. M. Guerra, R.
Babuška, and B. De Schutter, "Adaptive observers for TS fuzzy systems
with unknown polynomial inputs,"
Fuzzy Sets and
Systems, vol. 161, no. 15, pp. 2043-2065, Aug. 2010.
Abstract
A large class of nonlinear systems can be well approximated by Takagi-Sugeno
(TS) fuzzy models, with linear or affine consequents. However, in practical
applications, the process under consideration may be affected by unknown
inputs, such as disturbances, faults or unmodeled dynamics. In this paper, we
consider the problem of simultaneously estimating the state and unknown inputs
in TS systems. The inputs considered in this paper are 1) polynomials in time
(such as a bias in the model or an unknown ramp input acting on the model) and
2) unmodeled dynamics. The proposed observer is designed based on the known
part of the fuzzy model. Conditions on the asymptotic convergence of the
observer are presented and the design guarantees an ultimate bound on the error
signal. The results are illustrated on a simulation example.
Publisher page
Downloads
Erratum
- Zs. Lendek, J. Lauber, T. M. Guerra, R. Babuška, and B. De Schutter, "Erratum to "Adaptive observers for TS fuzzy systems with unknown polynomial inputs" [Fuzzy Sets and Systems 161 (2010) 2043-2065]," Fuzzy Sets and Systems, vol. 171, no. 1, pp. 106-107, May 2011. (online version, abstract, bibtex, tech. report (pdf))
BibTeX
@article{LenLau:10-021,
author = {Lendek, {\relax Zs}{\'{o}}fia and Lauber, Jimmy and Guerra,
Thierry Marie and Babu{\v{s}}ka, Robert and De Schutter, Bart},
title = {Adaptive Observers for {TS} Fuzzy Systems with Unknown Polynomial
Inputs},
journal = {Fuzzy Sets and Systems},
volume = {161},
number = {15},
pages = {2043--2065},
month = aug,
year = {2010}
}