Some techniques for order reduction of nonlinear time periodic systems

Sangram Redkar, S. C. Sinha, Eric A. Butcher

Research output: Contribution to journalConference articlepeer-review

2 Scopus citations


In this paper, some techniques for order reduction of nonlinear systems with time periodic coefficients are introduced. The equations of motion are first transformed using the Lyapunov-Floquet transformation such that the linear parts of the new set of equations are time-invariant. To reduce the order of this transformed system three model reduction techniques are suggested. The first approach is simply an application of the well-known linear method to nonlinear systems. In the second technique, the idea of singular perturbation and nonlinear projection are employed, whereas the concept of invariant manifold for time-periodic system forms the basis for the third method.

Original languageEnglish (US)
Pages (from-to)649-658
Number of pages10
JournalAmerican Society of Mechanical Engineers, Design Engineering Division (Publication) DE
Issue number2
StatePublished - Jan 1 2003
Externally publishedYes
Event2003 ASME International Mechanical Engineering Congress - Washington, DC, United States
Duration: Nov 15 2003Nov 21 2003

ASJC Scopus subject areas

  • Control and Systems Engineering


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