Abstract
We investigate a robust stabilization and synthesis problem involving a state-feedback fuzzy control via LMI methods, for which efficient optimization techniques are available. The closed-loop system is robustly stable in the presence of unknown but sector-bounded nonlinearity. The problem is tackled via the famous circle criterion borrowed from system theory. We present results in a unified fashion applicable to both continuous- and discrete-time problems. Finally the validity and applicability of the approach are demonstrated by two examples.
| Original language | English |
|---|---|
| Pages (from-to) | 194-199 |
| Number of pages | 6 |
| Journal | International Journal of Fuzzy Systems |
| Volume | 6 |
| Issue number | 4 |
| State | Published - Dec 2004 |
Keywords
- Circle criterion
- Linear matrix inequality (LMI)
- Robust control
- TS fuzzy model