Abstract
This paper focuses on model reduction of dynamical systems described by differential-algebraic equations. After transforming the system to the Weierstrass canonical form, the system is decomposed as a slow subsystem and a fast subsystem, which are then combined in parallel interconnection. Based on the solutions of these two subsystems, a new definition of the Hankel operator is given. Then, the conventional Hankel norm model reduction method is applied to the slow subsystem. Furthermore, we develop a new realization method to minimize the order of the fast subsystem while the DAE index is preserved. A numerical example is tested to show the approximation accuracy.
| Original language | English |
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| Title of host publication | 2015 54th IEEE Conference on Decision and Control (CDC) |
| Publisher | Institute of Electrical and Electronics Engineers |
| Pages | 4668-4673 |
| Number of pages | 6 |
| ISBN (Electronic) | 978-1-4799-7886-1 |
| DOIs | |
| Publication status | Published - Dec 2015 |
| Event | 54th IEEE Conference on Decision and Control (CDC 2015) - "Osaka International Convention Center", Osaka, Japan Duration: 15 Dec 2015 → 18 Dec 2015 Conference number: 54 http://www.cdc2015.ctrl.titech.ac.jp/ |
Conference
| Conference | 54th IEEE Conference on Decision and Control (CDC 2015) |
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| Abbreviated title | CDC 2015 |
| Country/Territory | Japan |
| City | Osaka |
| Period | 15/12/15 → 18/12/15 |
| Internet address |
Keywords
- model reduction
- Descriptor systems