Balancing-Based Reduction for Interconnected Passive Systems

Luuk Poort*, Bart Besselink, Rob H.B. Fey, Nathan van de Wouw

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

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Abstract

We propose a novel balancing-based reduction approach for the reduction of interconnected, passive LTI subsystems. This approach retains (strict) passivity and (asymptotic) stability of both the subsystems and the interconnected system. Simultaneously, we retain an accurate description of the input–output behavior of the interconnected system by accounting for the dynamics of the interconnected system in the reduction of the subsystems. A relevant structural dynamics benchmark of approximately two thousand states is presented, by which we verify the preservation of stability and passivity and demonstrate the superior model accuracy of the proposed reduction method with respect to existing methods from the literature.

Original languageEnglish
Pages (from-to)1817-1826
Number of pages10
JournalIEEE Transactions on Control Systems Technology
Volume32
Issue number5
Early online date20-Mar-2024
DOIs
Publication statusPublished - Sept-2024

Keywords

  • Asymptotic stability
  • Balancing
  • Benchmark testing
  • Context modeling
  • Interconnected systems
  • interconnected systems
  • Linear systems
  • model reduction
  • passivity
  • Springs
  • Stability criteria

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