| Titre : | Realization-preserving structure and order reduction of nonlinear energetic system models using energy trajectory correlations (2009) |
| Auteurs : | Tulga Ersal, Auteur ; Hosam K. Fathy, Auteur ; Jeffrey L. Stein, Auteur |
| Type de document : | Article : texte imprimé |
| Dans : | Transactions of the ASME . Journal of dynamic systems, measurement, and control (Vol. 131 N° 3, Mai 2009) |
| Article en page(s) : | 08 p. |
| Note générale : | dynamic systems |
| Langues : | Anglais |
| Tags : | lumped dynamic system model ; new energy-based metric ; correlation ; energy flow pattern ; Karhunen–Loève expansion |
| Résumé : | 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. |
| DEWEY : | 629.8 |
| ISSN : | 0022-0434 |
| En ligne : | http://dynamicsystems.asmedigitalcollection.asme.org/issue.aspx?journalid=117&issueid=26493 |
