Numerical robust stability analysis of fuzzy feedback linearisation regulator based on linear matrix inequality approach

被引:32
作者
Park, CW [1 ]
Kang, HJ [1 ]
Yee, YH [1 ]
Park, M [1 ]
机构
[1] Yonsei Univ, ICS Lab, Dept Elect & Elect Engn, Seodaemun Ku, Seoul 120749, South Korea
来源
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS | 2002年 / 149卷 / 01期
关键词
D O I
10.1049/ip-cta:20020255
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A numerical robust stability analysis for the fuzzy feedback linearisation regulator is presented using linear matrix inequalities (LMI) theory. The well known Takagi-Sugeno fuzzy model is used as the nonlinear plant model. Uncertainty is assumed to be included in the model structure with known bounds. For this structured uncertainty, the closed system can be cast into a Lur'e system by a simple transformation. From the LMI stability condition for the Lur'e system, we can derive the robust stability condition for the fuzzy feedback linearisation regulator based on the Takagi-Sugeno fuzzy model. The effectiveness of the proposed analysis is illustrated by a computer simulation.
引用
收藏
页码:82 / 88
页数:7
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