Abstract
The method of convex optimization is used as a tool for model reduction of a class of nonlinear systems in the presence of disturbances. It is shown that under some conditions the nonlinear disturbed system can be approximated by a reduced order nonlinear system with similar disturbance-output properties to the original plant. The proposed model reduction strategy preserves the nonlinearity and the input disturbance nature of the model. It guarantees a sufficiently small error between the outputs of the original and the reduced-order systems, and also maintains the properties of input-to-state stability. The matrices of the reduced order system are given in terms of a set of linear matrix inequalities (LMIs). The paper concludes with a demonstration of the proposed approach on model reduction of a nonlinear electronic circuit with additive disturbances.
| Original language | English (US) |
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| Title of host publication | 2017 American Control Conference, ACC 2017 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 3488-3493 |
| Number of pages | 6 |
| ISBN (Electronic) | 9781509059928 |
| DOIs | |
| State | Published - Jun 29 2017 |
| Event | 2017 American Control Conference, ACC 2017 - Seattle, United States Duration: May 24 2017 → May 26 2017 |
Publication series
| Name | Proceedings of the American Control Conference |
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| ISSN (Print) | 0743-1619 |
Conference
| Conference | 2017 American Control Conference, ACC 2017 |
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| Country/Territory | United States |
| City | Seattle |
| Period | 05/24/17 → 05/26/17 |
Bibliographical note
Publisher Copyright:© 2017 American Automatic Control Council (AACC).
Keywords
- Linear Matrix Inequalities (LMIs)
- Model reduction
- convex optimization technique
- disturbances
- input-to-state stability
- nonlinear systems
ASJC Scopus subject areas
- Electrical and Electronic Engineering