Abstract
This paper develops new results to the problem of simultaneous feedback stabilization using static output feedback (SOF) control for a finite collection of linear dynamical systems with unknown state delay. We establish tractable synthesis conditions for nominal SOF controllers and subsequently extend the results to resilient SOF to cope with possible additive controller gain perturbations. In both cases, the design of SOF controllers is based on guaranteed cost and H∞ approaches. Previous related results are recovered and all the developed results are conveniently cast in the format of linear matrix inequalities. A numerical example is presented.
| Original language | English |
|---|---|
| Pages (from-to) | 211-223 |
| Number of pages | 13 |
| Journal | IMA Journal of Mathematical Control and Information |
| Volume | 23 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Jun 2006 |
| Externally published | Yes |
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Keywords
- Guaranteed cost control
- H control
- LMIs
- Simultaneous stabilization
- Static output feedback
- Time-delay systems
ASJC Scopus subject areas
- Mathematics (miscellaneous)
- Control and Optimization
- Safety, Risk, Reliability and Quality
Cite this
Simultaneous output feedback stabilization of time-delay systems. / Mahmoud, Magdi S.; Nounou, Hazem.
In: IMA Journal of Mathematical Control and Information, Vol. 23, No. 2, 06.2006, p. 211-223.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Simultaneous output feedback stabilization of time-delay systems
AU - Mahmoud, Magdi S.
AU - Nounou, Hazem
PY - 2006/6
Y1 - 2006/6
N2 - This paper develops new results to the problem of simultaneous feedback stabilization using static output feedback (SOF) control for a finite collection of linear dynamical systems with unknown state delay. We establish tractable synthesis conditions for nominal SOF controllers and subsequently extend the results to resilient SOF to cope with possible additive controller gain perturbations. In both cases, the design of SOF controllers is based on guaranteed cost and H∞ approaches. Previous related results are recovered and all the developed results are conveniently cast in the format of linear matrix inequalities. A numerical example is presented.
AB - This paper develops new results to the problem of simultaneous feedback stabilization using static output feedback (SOF) control for a finite collection of linear dynamical systems with unknown state delay. We establish tractable synthesis conditions for nominal SOF controllers and subsequently extend the results to resilient SOF to cope with possible additive controller gain perturbations. In both cases, the design of SOF controllers is based on guaranteed cost and H∞ approaches. Previous related results are recovered and all the developed results are conveniently cast in the format of linear matrix inequalities. A numerical example is presented.
KW - Guaranteed cost control
KW - H control
KW - LMIs
KW - Simultaneous stabilization
KW - Static output feedback
KW - Time-delay systems
UR - http://www.scopus.com/inward/record.url?scp=33644898095&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33644898095&partnerID=8YFLogxK
U2 - 10.1093/imamci/dni054
DO - 10.1093/imamci/dni054
M3 - Article
VL - 23
SP - 211
EP - 223
JO - IMA Journal of Mathematical Control and Information
JF - IMA Journal of Mathematical Control and Information
SN - 0265-0754
IS - 2
ER -