0
Research Papers

Realization-Preserving Structure and Order Reduction of Nonlinear Energetic System Models Using Energy Trajectory Correlations

[+] Author and Article Information
Tulga Ersal

Department of Mechanical Engineering, The University of Michigan, 2350 Hayward Street, Ann Arbor, MI 48109tersal@umich.edu

Hosam K. Fathy

Department of Mechanical Engineering, The University of Michigan, 2350 Hayward Street, Ann Arbor, MI 48109hfathy@umich.edu

Jeffrey L. Stein

Department of Mechanical Engineering, The University of Michigan, 2350 Hayward Street, Ann Arbor, MI 48109stein@umich.edu

J. Dyn. Sys., Meas., Control 131(3), 031004 (Mar 19, 2009) (8 pages) doi:10.1115/1.3072128 History: Received June 16, 2007; Revised October 27, 2008; Published March 19, 2009

Previous work by the authors developed algorithms for simplifying the structure of a lumped dynamic system model and reducing its order. This paper extends this previous work to enable simultaneous model structure and order reduction. Specifically, it introduces a new energy-based metric to evaluate the relative importance of energetic connections in a model. This metric (1) accounts for correlations between energy flow patterns in a model using the Karhunen–Loève expansion; (2) examines all energetic connections in a model, thereby assessing the relative importance of both energetic components and their interactions, and enabling both order and structural reduction; and (3) is realization preserving, in the sense of not requiring a state transformation. A reduction scheme based on this metric is presented and illustrated using a simple example. The example shows that the proposed method can successfully concurrently reduce model order and structure without requiring a realization change, and that it can provide an improved assessment of the importance of various model components due to its correlation-based nature.

FIGURES IN THIS ARTICLE
<>
Copyright © 2009 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Schematic representation of the example system

Grahic Jump Location
Figure 2

Bond graph of the example system

Grahic Jump Location
Figure 3

Schematic representation of the fifth-level reduced model for Scenario 1

Grahic Jump Location
Figure 4

Bond graph of the fifth-level reduced model for Scenario 1

Grahic Jump Location
Figure 5

Output of the full model versus output of the fifth-level reduced model for Scenario 1

Grahic Jump Location
Figure 6

Schematic representation of the third-level reduced model for Scenario 2

Grahic Jump Location
Figure 7

Bond graph of the third-level reduced model for Scenario 2

Grahic Jump Location
Figure 8

Output of the full model versus output of the third-level reduced model for Scenario 2

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In