Empirical balanced truncation of nonlinear systems

M. Condon, R. Ivanov

Research output: Contribution to journalArticlepeer-review

Abstract

Novel constructions of empirical controllability and observability gramians for nonlinear systems are proposed for subsequent use in a balanced truncation style of model reduction. The new gramians are based on a generalisation of the fundamental solution for a Linear Time-Varying system. Relationships between the given gramians for nonlinear systems and the standard gramians for both Linear Time-Invariant and Linear Time-Varying systems are established as well as relationships to prior constructions proposed for empirical gramians. Application of the new gramians is illustrated through a sample test-system.

Original languageEnglish
Pages (from-to)405-414
Number of pages10
JournalJournal of Nonlinear Science
Volume14
Issue number5
DOIs
Publication statusPublished - Oct 2004
Externally publishedYes

Keywords

  • Lyapunov equation

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