Abstract
Inspired by the recently proposed Partial Integral Equality(PIE) representation for linear delay systems, this paper proposes a fuzzy-PIE representation for T-S fuzzy systems with delays for the first time. Inspired by the free-weighting matrix technique, this paper introduces the free-weighting Partial Integral (PI) operators. Based on the novel representation and free-weighting PI operators, the stability issue is investigated for the T-S fuzzy systems with delays. The corresponding conditions are given as Linear Partial Inequality (LPI) and can be solved by the MATLAB toolbox PIETOOLS. Compared with the existing results, our method has no need of the bounding technique and a large amount of matrix operation. The numerical examples show the superiority of our method. This paper adds to the expanding field of LPI approach to fuzzy systems with delays.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 97-102 |
| Number of pages | 6 |
| Journal | IFAC-PapersOnLine |
| Volume | 55 |
| Issue number | 36 |
| DOIs | |
| State | Published - 2022 |
| Event | 17th IFAC Workshop on Time Delay Systems, TDS 2022 - Montreal, Canada Duration: Sep 27 2022 → Sep 30 2022 |
Keywords
- T-S fuzzy systems with delays
- free-weighting PI operator
- fuzzy -PIE
- stability
ASJC Scopus subject areas
- Control and Systems Engineering