Abstract
The quadratic stability of fuzzy descriptor system is investigated. The necessary condition is presented for the existence of a common matrix X ensuring the stability. With the LMIs (linear matrix inequalities) technique, a method of solving the inequalities is deduced. Out result reduce computation obviously compared with the previous one. Then a feedback controller design approach and the corresponding necessary condition are given. Finally, a numerical example is given.
| Original language | English |
|---|---|
| Pages (from-to) | 1087-1089 |
| Number of pages | 3 |
| Journal | Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics |
| Volume | 27 |
| Issue number | 6 |
| Publication status | Published - Jun 2005 |
| Externally published | Yes |
Keywords
- Fuzzy descriptor system
- Lyapunov stability
- Quadratic stability