期刊
AUTOMATICA
卷 48, 期 5, 页码 970-973出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2012.02.013
关键词
State feedback; Fuzzy systems; Switching control
资金
- MKE (The Ministry of the Knowledge Economy), Korea
- ITRC (Information Technology Research Center)
- NIPA (National IT Industry Promotion Agency) [NIPA-2011-(C-1090-1121-0006), NIPA-2011-(C1090-1111-0011)]
- Ministry of Education, Science and Technology through the National Research Foundation of Korea [R31-10100]
In this note, the state-feedback stabilization for continuous-time Takagi-Sugeno (T-S) fuzzy systems is addressed, where the fuzzy weighting functions are assumed to be differentiable and their ranges of variation are possibly bounded by some parameters. By utilizing the matrix elimination lemma and introducing a polyhedral partition to the range of the fuzzy weights, the quadratically parameterized condition is transformed to being piecewise linear in both the fuzzy weights and their derivatives. Then, a switching control based on the partition is considered, by utilizing the extreme points in each partition to address the constraints of the fuzzy weights and their derivatives. The simulation shows that finer subdivision in the partition leads to better stability and stabilization margins. (C) 2012 Elsevier Ltd. All rights reserved.
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