Abstract
This paper presents an idea to further simplify and relax the linear matrix inequality (LMI) stability conditions of Takagi-Sugeno (T-S) fuzzy systems. By considering the distribution of membership functions in a unified space, we can easily find the overall relation of the original nonlinear system and its approximated local subsystems. Based on the theory of convex combination, the upper-bounds and lower-bounds of each membership functions can be directly used to construct less conservative LMI conditions. The cases of both Type-1 and Type- 2 systems are considered, and examples are provided to illustrate the achieved improvement.
Original language | English |
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Title of host publication | 2016 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2016 |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 2199-2205 |
Number of pages | 7 |
ISBN (Print) | 9781509006250 |
DOIs | |
Publication status | Published - 7 Nov 2016 |
Event | 2016 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2016 - Vancouver, Canada Duration: 24 Jul 2016 → 29 Jul 2016 |
Conference
Conference | 2016 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2016 |
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Country/Territory | Canada |
City | Vancouver |
Period | 24/07/2016 → 29/07/2016 |
Keywords
- Convex combination
- Membership function
- Stability analysis
- T-S fuzzy system