Centralized design of decentralized controllers for interconnected descriptor systems

Masao Ikeda, Guisheng Zhai, Eiho Uezato

Research output: Contribution to journalArticle

11 Citations (Scopus)

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 languageEnglish
Pages (from-to)509-520
Number of pages12
JournalDynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
Volume11
Issue number4-5
Publication statusPublished - 2004 Aug
Externally publishedYes

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Controllers
Stabilization

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

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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.

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