Abstract
This paper considers a decentralized stabilization problem for large-scale linear descriptor systems composed of a number of interconnected subsystems. The information structure constraint is compatible with the subsystems. The decentralized controller design is carried out in a centralized way. The design problem is reduced to feasibility of a bilinear matrix inequality (BMI). To solve the BML the idea of the homotopy method is applied, where the interconnections between subsystems are increased gradually from zeros to the given magnitudes. The case where polytopic perturbations exist in the interconnections is also dealt with.
| Original language | English |
|---|---|
| Pages (from-to) | 509-520 |
| Number of pages | 12 |
| Journal | Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms |
| Volume | 11 |
| Issue number | 4-5 |
| Publication status | Published - 2004 Aug |
| Externally published | Yes |
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Keywords
- Bilinear matrix inequality
- Decentralized control
- Descriptor system
- Feedback stabilization
- Homotopy method
- Interconnected system
- Large-scale system
- Polytopic perturbation
ASJC Scopus subject areas
- Applied Mathematics
- Discrete Mathematics and Combinatorics
Cite this
Centralized design of decentralized controllers for interconnected descriptor systems. / Ikeda, Masao; Zhai, Guisheng; Uezato, Eiho.
In: Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, Vol. 11, No. 4-5, 08.2004, p. 509-520.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Centralized design of decentralized controllers for interconnected descriptor systems
AU - Ikeda, Masao
AU - Zhai, Guisheng
AU - Uezato, Eiho
PY - 2004/8
Y1 - 2004/8
N2 - This paper considers a decentralized stabilization problem for large-scale linear descriptor systems composed of a number of interconnected subsystems. The information structure constraint is compatible with the subsystems. The decentralized controller design is carried out in a centralized way. The design problem is reduced to feasibility of a bilinear matrix inequality (BMI). To solve the BML the idea of the homotopy method is applied, where the interconnections between subsystems are increased gradually from zeros to the given magnitudes. The case where polytopic perturbations exist in the interconnections is also dealt with.
AB - This paper considers a decentralized stabilization problem for large-scale linear descriptor systems composed of a number of interconnected subsystems. The information structure constraint is compatible with the subsystems. The decentralized controller design is carried out in a centralized way. The design problem is reduced to feasibility of a bilinear matrix inequality (BMI). To solve the BML the idea of the homotopy method is applied, where the interconnections between subsystems are increased gradually from zeros to the given magnitudes. The case where polytopic perturbations exist in the interconnections is also dealt with.
KW - Bilinear matrix inequality
KW - Decentralized control
KW - Descriptor system
KW - Feedback stabilization
KW - Homotopy method
KW - Interconnected system
KW - Large-scale system
KW - Polytopic perturbation
UR - http://www.scopus.com/inward/record.url?scp=4544312867&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=4544312867&partnerID=8YFLogxK
M3 - Article
VL - 11
SP - 509
EP - 520
JO - Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
JF - Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
SN - 1492-8760
IS - 4-5
ER -