Abstract
The fuzzy sampled-data control problem for Takagi-Sugeno (T-S) continuous-time fuzzy systems is discussed in this paper, A linear matrix inequalities (LMIs) condition for fuzzy sampled-data stabilization of T-S fuzzy systems is established via descriptor system approach and Lyapunov-Krasovikii function, as well as the LMI approach. The design methods of such fuzzy sampled-data control law which can stabilize T-S fuzzy systems, are simultaneously given. Moreover, when a continuous-time fuzzy controller can stabilize the T-S fuzzy systems, the corresponding fuzzy sampled-data controller with the same gain matrices can stabilize such T-S fuzzy systems for any small enough sampling intervals. Finally, two design examples are given to demonstrate the effectiveness of our design methods.
| Original language | English |
|---|---|
| Pages (from-to) | 69-74 |
| Number of pages | 6 |
| Journal | Kongzhi Lilun Yu Yingyong/Control Theory and Applications |
| Volume | 24 |
| Issue number | 1 |
| State | Published - Feb 2007 |
Keywords
- Fuzzy sampled-data control
- Linear matrix inequality (LMI) approach
- Stabilization
- T-S fuzzy systems