Abstract
An optimization technique is proposed to represent a class of nonlinear systems by a Takagi-Sugeno uncertain fuzzy model. Then, a robust H ∞ quadratic stabilization problem to the uncertain fuzzy systems via static output feedback is investigated. It is proved that the existence of a set of solvable bilinear matrix inequalities (BMIs) suffices to guarantee the quadratic stabilization of an uncertain fuzzy system in an H ∞ sense. A linear matrix inequality formulation is suggested to alleviate the difficulties of BMI that are inherited from the stabilizability problems via static output feedback control. Both continuous- and discrete-time systems are treated in a unified approach and connections to state feedback and dynamic-output feedback are addressed.
| Original language | English |
|---|---|
| Pages (from-to) | 1494-1502 |
| Number of pages | 9 |
| Journal | IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications |
| Volume | 50 |
| Issue number | 11 |
| DOIs | |
| State | Published - Nov 2003 |
Keywords
- Bilinear matrix inequalities (BMIs)
- Parameterized linear matrix inequality (PLMI)
- Static output feedback