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On the capability of the T-S model in describing nonlinear systems

✍ Scribed by Akira Kanehara; Kang-Zhi Liu

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
519 KB
Volume
166
Category
Article
ISSN
0424-7760

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✦ Synopsis

Abstract

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. Β© 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

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