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On the capability of the T‐S model in describing nonlinear systems
Author(s) -
Kanehara Akira,
Liu KangZhi
Publication year - 2008
Publication title -
electrical engineering in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.136
H-Index - 28
eISSN - 1520-6416
pISSN - 0424-7760
DOI - 10.1002/eej.20503
Subject(s) - nonlinear system , control theory (sociology) , class (philosophy) , controller (irrigation) , approximation error , computer science , mathematics , stability (learning theory) , control (management) , artificial intelligence , physics , machine learning , quantum mechanics , agronomy , biology
The Takagi‐Sugeno (T‐S) model is one of the most powerful methods in describing nonlinear systems. Because the T‐S model can be easily converted into an LPV system, Lyapunov stability analysis and controller design reduce to solving an LMI problem. However, since the constructed T‐S model is generally approximation, how to construct a T‐S model with less approximation error is important. In this paper, we propose a modeling method for T‐S model which yields no error for some class of nonlinear systems, and discuss some expansion as well as estimation of error bound for general nonlinear systems. © 2008 Wiley Periodicals, Inc. Electr Eng Jpn, 166(1): 52–59, 2009; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/eej.20503