Abstract
This paper considers stabilization of linear time-varying descriptor systems with continuous and bounded coefficient matrices. First, a necessary and sufficient condition for exponential stability is presented as solvability of a linear matrix differential inequality. Then, the stability condition is utilized to derive a feedback control law for stabilization of the descriptor system. The proposed feedback gain extracts the dynamic component of the descriptor variable. A numerical example is presented.
| Original language | English |
|---|---|
| Title of host publication | 2008 International Conference on Control, Automation and Systems, ICCAS 2008 |
| Pages | 1855-1860 |
| Number of pages | 6 |
| DOIs | |
| Publication status | Published - 2008 |
| Externally published | Yes |
| Event | 2008 International Conference on Control, Automation and Systems, ICCAS 2008 - Seoul, Korea, Republic of Duration: 2008 Oct 14 → 2008 Oct 17 |
Other
| Other | 2008 International Conference on Control, Automation and Systems, ICCAS 2008 |
|---|---|
| Country | Korea, Republic of |
| City | Seoul |
| Period | 08/10/14 → 08/10/17 |
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Keywords
- Linear matrix differential inequalities
- Linear time-varying descriptor systems
- Stability
- Stabilization
ASJC Scopus subject areas
- Control and Systems Engineering
Cite this
Stabilization of linear time-varying descriptor systems : A linear matrix differential inequality approach. / Inoue, Masaki; Wada, Terayo; Ikeda, Masao; Uezato, Eiho.
2008 International Conference on Control, Automation and Systems, ICCAS 2008. 2008. p. 1855-1860 4694401.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Stabilization of linear time-varying descriptor systems
T2 - A linear matrix differential inequality approach
AU - Inoue, Masaki
AU - Wada, Terayo
AU - Ikeda, Masao
AU - Uezato, Eiho
PY - 2008
Y1 - 2008
N2 - This paper considers stabilization of linear time-varying descriptor systems with continuous and bounded coefficient matrices. First, a necessary and sufficient condition for exponential stability is presented as solvability of a linear matrix differential inequality. Then, the stability condition is utilized to derive a feedback control law for stabilization of the descriptor system. The proposed feedback gain extracts the dynamic component of the descriptor variable. A numerical example is presented.
AB - This paper considers stabilization of linear time-varying descriptor systems with continuous and bounded coefficient matrices. First, a necessary and sufficient condition for exponential stability is presented as solvability of a linear matrix differential inequality. Then, the stability condition is utilized to derive a feedback control law for stabilization of the descriptor system. The proposed feedback gain extracts the dynamic component of the descriptor variable. A numerical example is presented.
KW - Linear matrix differential inequalities
KW - Linear time-varying descriptor systems
KW - Stability
KW - Stabilization
UR - http://www.scopus.com/inward/record.url?scp=58149097489&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=58149097489&partnerID=8YFLogxK
U2 - 10.1109/ICCAS.2008.4694401
DO - 10.1109/ICCAS.2008.4694401
M3 - Conference contribution
AN - SCOPUS:58149097489
SN - 9788995003893
SP - 1855
EP - 1860
BT - 2008 International Conference on Control, Automation and Systems, ICCAS 2008
ER -