Some techniques for order reduction of nonlinear time periodic systems

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

doi:10.1115/IMECE2003-42559

Some techniques for order reduction of nonlinear time periodic systems

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

Research output: Contribution to journal › Conference article › peer-review

2 Scopus citations

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 language	English (US)
Pages (from-to)	649-658
Number of pages	10
Journal	American Society of Mechanical Engineers, Design Engineering Division (Publication) DE
Volume	116
Issue number	2
DOIs	https://doi.org/10.1115/IMECE2003-42559
State	Published - 2003
Externally published	Yes
Event	2003 ASME International Mechanical Engineering Congress - Washington, DC, United States Duration: Nov 15 2003 → Nov 21 2003

ASJC Scopus subject areas

Control and Systems Engineering

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10.1115/IMECE2003-42559

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title = "Some techniques for order reduction of nonlinear time periodic systems",

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.",

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AU - Redkar, Sangram

AU - Sinha, S. C.

AU - Butcher, Eric A.

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N2 - 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.

AB - 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.

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EP - 658

JO - American Society of Mechanical Engineers, Design Engineering Division (Publication) DE

JF - American Society of Mechanical Engineers, Design Engineering Division (Publication) DE

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T2 - 2003 ASME International Mechanical Engineering Congress

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ER -

Some techniques for order reduction of nonlinear time periodic systems

Abstract

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