Reference
Zs. Lendek, R. Babuška, and B. De Schutter, "Stability analysis and
observer design for decentralized TS fuzzy systems,"
Proceedings of the 2008 IEEE International Conference on Fuzzy
Systems (FUZZ-IEEE 2008), Hong Kong, pp. 631-636, June 2008.
Abstract
A large class of nonlinear systems can be well approximated by Takagi-Sugeno
(TS) fuzzy models, with linear or affine consequents. It is well-known that the
stability of these consequent models does not ensure the stability of the
overall fuzzy system. Stability conditions developed for TS fuzzy systems in
general rely on the feasibility of an associated system of linear matrix
inequalities, whose complexity may grow exponentially with the number of rules.
We study distributed systems, where the subsystems are represented as TS fuzzy
models. For such systems, a centralized analysis is often unfeasible. We
analyze the stability of the overall TS system based on the stability of the
subsystems and the strength of the interconnection terms. For naturally
distributed applications, such as multi-agent systems, when adding new
subsystems "on-line", the construction and tuning of a centralized observer is
often intractable. Therefore, we also propose a decentralized approach to
observer design. Applications of such systems include distributed process
control, traffic networks, and economic systems.
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BibTeX
@inproceedings{LenBaB:08-004,
author = {Lendek, {\relax Zs}{\'{o}}fia and Babu{\v{s}}ka, Robert and De
Schutter, Bart},
title = {Stability Analysis and Observer Design for Decentralized {TS}
Fuzzy Systems},
booktitle = {Proceedings of the 2008 IEEE International Conference on Fuzzy
Systems (FUZZ-IEEE 2008)},
address = {Hong Kong},
pages = {631--636},
month = jun,
year = {2008}
}