Some techniques for order reduction of nonlinear time periodic systems

Sangram Redkar, S. C. Sinha, Eric Butcher

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

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)
Title of host publicationAmerican Society of Mechanical Engineers, Design Engineering Division (Publication) DE
PublisherAmerican Society of Mechanical Engineers (ASME)
Pages649-658
Number of pages10
Volume116
Edition2
DOIs
StatePublished - 2003
Externally publishedYes
Event2003 ASME International Mechanical Engineering Congress - Washington, DC, United States
Duration: Nov 15 2003Nov 21 2003

Other

Other2003 ASME International Mechanical Engineering Congress
CountryUnited States
CityWashington, DC
Period11/15/0311/21/03

Fingerprint

Time varying systems
Nonlinear systems
Equations of motion

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Redkar, S., Sinha, S. C., & Butcher, E. (2003). Some techniques for order reduction of nonlinear time periodic systems. In American Society of Mechanical Engineers, Design Engineering Division (Publication) DE (2 ed., Vol. 116, pp. 649-658). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/IMECE2003-42559

Some techniques for order reduction of nonlinear time periodic systems. / Redkar, Sangram; Sinha, S. C.; Butcher, Eric.

American Society of Mechanical Engineers, Design Engineering Division (Publication) DE. Vol. 116 2. ed. American Society of Mechanical Engineers (ASME), 2003. p. 649-658.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Redkar, S, Sinha, SC & Butcher, E 2003, Some techniques for order reduction of nonlinear time periodic systems. in American Society of Mechanical Engineers, Design Engineering Division (Publication) DE. 2 edn, vol. 116, American Society of Mechanical Engineers (ASME), pp. 649-658, 2003 ASME International Mechanical Engineering Congress, Washington, DC, United States, 11/15/03. https://doi.org/10.1115/IMECE2003-42559
Redkar S, Sinha SC, Butcher E. Some techniques for order reduction of nonlinear time periodic systems. In American Society of Mechanical Engineers, Design Engineering Division (Publication) DE. 2 ed. Vol. 116. American Society of Mechanical Engineers (ASME). 2003. p. 649-658 https://doi.org/10.1115/IMECE2003-42559
Redkar, Sangram ; Sinha, S. C. ; Butcher, Eric. / Some techniques for order reduction of nonlinear time periodic systems. American Society of Mechanical Engineers, Design Engineering Division (Publication) DE. Vol. 116 2. ed. American Society of Mechanical Engineers (ASME), 2003. pp. 649-658
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