TY - JOUR
T1 - Centralized design of decentralized controllers for interconnected descriptor systems
AU - Ikeda, Masao
AU - Zhai, Guisheng
AU - Uezato, Eiho
PY - 2004/8/1
Y1 - 2004/8/1
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
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M3 - Article
AN - SCOPUS:4544312867
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 -