Name
Abstract | ||
|---|---|---|
Convex parameterization of fixed-order robust stabilizing controllers for systems with polytopic uncertainty is represented as a linear matrix inequality (LMI) using the Kalman-Yakubovich-Popov (KYP) lemma. This parameterization is a convex inner approximation of the whole nonconvex set of stabilizing controllers, and depends on the choice of a central polynomial. It is shown that, with an appropriate choice of the central polynomial, the set of all stabilizing fixed-order controllers that place the closed-loop poles of a polytopic system in a disk centered on the real axis can be outbounded with some LMIs. These LMIs can be used for robust pole placement of polytopic systems. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1109/TAC.2007.914301 | IEEE Trans. Automat. Contr. |
Keywords | Field | DocType |
Control systems,Polynomials,Stability,State feedback,Uncertainty,Design optimization,Design methodology,Lyapunov method,Automatic control,Linear matrix inequalities | Mathematical optimization,Polynomial,Control theory,Full state feedback,Complex plane,Regular polygon,Robust control,Convex optimization,Linear matrix inequality,Mathematics,Lemma (mathematics) | Journal |
Volume | Issue | ISSN |
53 | 1 | 0018-9286 |
Citations | PageRank | References |
14 | 1.39 | 9 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hamid Khatibi | 1 | 26 | 2.63 |
| A. Karimi | 2 | 289 | 40.41 |
| Roland Longchamp | 3 | 134 | 18.17 |