Abstract
This paper considers stabilization of linear time-varying descriptor systems by dynamic output feedback. We first introduce a necessary and sufficient condition for stability, which is expressed as solvability of linear matrix differential inequalities. Then, we consider a dynamic output feedback controller and apply the stability condition to the closed-loop system in order to derive a necessary and sufficient condition for stabilizability. The condition is expressed also in terms of linear matrix differential inequalities and a stabilizing controller can be computed by using the solution of the inequalities. Finally, we present a numerical example.
| Original language | English |
|---|---|
| Title of host publication | 2009 European Control Conference, ECC 2009 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 1347-1352 |
| Number of pages | 6 |
| ISBN (Print) | 9783952417393 |
| Publication status | Published - 2014 Mar 26 |
| Externally published | Yes |
| Event | 2009 10th European Control Conference, ECC 2009 - Budapest, Hungary Duration: 2009 Aug 23 → 2009 Aug 26 |
Other
| Other | 2009 10th European Control Conference, ECC 2009 |
|---|---|
| Country/Territory | Hungary |
| City | Budapest |
| Period | 09/8/23 → 09/8/26 |
ASJC Scopus subject areas
- Control and Systems Engineering