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) |
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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 | |
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