Coprime factors reduction methods for linear parameter varying and uncertain systems

Research output: Contribution to journalArticlepeer-review

Abstract

We present a generalization of the coprime factors model reduction method of Meyer and propose a balanced truncation reduction algorithm for a class of systems containing linear parameter varying and uncertain system models. A complete derivation of coprime factorizations for this class of systems is also given. The reduction method proposed is thus applicable to linear parameter varying and uncertain system realizations that do not satisfy the structured ℓ2-induced stability constraint required in the standard nonfactored case. Reduction error bounds in the ℓ2-induced norm of the factorized mapping are given.

Original languageEnglish (US)
Pages (from-to)199-213
Number of pages15
JournalSystems and Control Letters
Volume55
Issue number3
DOIs
StatePublished - Mar 2006

Keywords

  • Balanced truncation
  • Coprime factors
  • Linear parameter-varying systems
  • Uncertain systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science(all)
  • Mechanical Engineering
  • Electrical and Electronic Engineering

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