Abstract
This paper presents a new fuzzy Lyapunov function (FLF) for the stability analysis of continuous-time Takagi-Sugeno (T-S) fuzzy systems. Unlike conventional FLFs, the proposed one depends not only on the fuzzy weighting functions of the T-S fuzzy systems but on their first-order time derivatives as well. Based on the proposed FLF, a sufficient stability condition is derived in the form of linear matrix inequalities, depending on the upper bounds on the second-order time derivative of the fuzzy weighting functions, as well as the first-order ones. Finally, some examples demonstrate that the proposed condition can provide less conservative results than the previous ones in the literature.
| Original language | English |
|---|---|
| Article number | 5750043 |
| Pages (from-to) | 785-791 |
| Number of pages | 7 |
| Journal | IEEE Transactions on Fuzzy Systems |
| Volume | 19 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2011 Aug |
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Computational Theory and Mathematics
- Artificial Intelligence
- Applied Mathematics