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.
|Number of pages||6|
|Journal||International Journal of Fuzzy Systems|
|State||Published - Dec 2004|
- Circle criterion
- Linear matrix inequality (LMI)
- Robust control
- TS fuzzy model