Abstract
For linear discrete-time descriptor systems, we consider stability and stabilization conditions using matrix inequality approach. We present a new strict linear matrix inequality (LMI) condition which is necessary and sufficient for stability of unforced descriptor systems. Then, we use the condition to consider stabilization problem by descriptor variable feedback and static output feedback. By introducing a new matrix variable with certain structure, we establish sufficient conditions in form of strict LMIs for stabilizing controller design.
| Original language | English |
|---|---|
| Title of host publication | IEEE International Symposium on Intelligent Control - Proceedings |
| Pages | 495-499 |
| Number of pages | 5 |
| Publication status | Published - 2004 |
| Externally published | Yes |
| Event | Proceedings of the 2004 IEEE International Symposium on Intelligent Control - 2004 ISIC - Taipei Duration: 2004 Sep 2 → 2004 Sep 4 |
Other
| Other | Proceedings of the 2004 IEEE International Symposium on Intelligent Control - 2004 ISIC |
|---|---|
| City | Taipei |
| Period | 04/9/2 → 04/9/4 |
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ASJC Scopus subject areas
- Hardware and Architecture
- Control and Systems Engineering
Cite this
Strict LMI conditions for stability and stabilization of discrete-time descriptor systems. / Zhai, Guisheng; Koyama, Naoki; Bruzelius, Fredrik; Yoshida, Masaharu.
IEEE International Symposium on Intelligent Control - Proceedings. 2004. p. 495-499.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Strict LMI conditions for stability and stabilization of discrete-time descriptor systems
AU - Zhai, Guisheng
AU - Koyama, Naoki
AU - Bruzelius, Fredrik
AU - Yoshida, Masaharu
PY - 2004
Y1 - 2004
N2 - For linear discrete-time descriptor systems, we consider stability and stabilization conditions using matrix inequality approach. We present a new strict linear matrix inequality (LMI) condition which is necessary and sufficient for stability of unforced descriptor systems. Then, we use the condition to consider stabilization problem by descriptor variable feedback and static output feedback. By introducing a new matrix variable with certain structure, we establish sufficient conditions in form of strict LMIs for stabilizing controller design.
AB - For linear discrete-time descriptor systems, we consider stability and stabilization conditions using matrix inequality approach. We present a new strict linear matrix inequality (LMI) condition which is necessary and sufficient for stability of unforced descriptor systems. Then, we use the condition to consider stabilization problem by descriptor variable feedback and static output feedback. By introducing a new matrix variable with certain structure, we establish sufficient conditions in form of strict LMIs for stabilizing controller design.
UR - http://www.scopus.com/inward/record.url?scp=20344404181&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=20344404181&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:20344404181
SP - 495
EP - 499
BT - IEEE International Symposium on Intelligent Control - Proceedings
ER -