Abstract
This paper investigates the stability of fuzzy polynomial positive systems with time delay by using sum-of-squares (SOS) approach. Conservative stability conditions are obtained based on the traditional stability-analysis approach for positive system represented by a fuzzy model, where the membership functions are not considered. In this paper, piecewise-linear membership functions (PLMFs) are employed to relax the stability conditions. Through the PLMFs, the specified non-linearities are able to be considered in the SOS-based stability conditions. The stability analysis result is verified and its effectiveness is demonstrated by a simulation example.
Original language | English |
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Title of host publication | iFUZZY 2014 - 2014 International Conference on Fuzzy Theory and Its Applications, Conference Digest |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 24-28 |
Number of pages | 5 |
ISBN (Print) | 9781479945887 |
DOIs | |
Publication status | Published - 21 Apr 2015 |
Event | 2014 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2014 - Kaohsiung, Taiwan Duration: 26 Nov 2014 → 28 Nov 2014 |
Conference
Conference | 2014 International Conference on Fuzzy Theory and Its Applications, iFUZZY 2014 |
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Country/Territory | Taiwan |
City | Kaohsiung |
Period | 26/11/2014 → 28/11/2014 |