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 1 |
Keywords
- Bilinear matrix inequality
- Decentralized control
- Descriptor system
- Feedback stabilization
- Homotopy method
- Interconnected system
- Large-scale system
- Polytopic perturbation
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics
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Cite this
Ikeda, M., Zhai, G., & Uezato, E. (2004). Centralized design of decentralized controllers for interconnected descriptor systems. Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, 11(4-5), 509-520.