Abstract
We propose a subspace identification method that involves a priori information of the system characterized in the frequency domain. Some properties of the system over all frequency range are transformed into matrix inequalities that are linear in system matrices, by using the well-known Kalman-Yakubovich-Popov (KYP) lemma. To construct a model that represents the specified frequency characteristics, we formulate a subspace identification problem under the matrix inequality constraints. This constrained problem is in a class of nonlinear optimization problems, then we reduce it to a convex one by applying a proper transformation. Furthermore, the proposed method is extended to that incorporated with a priori information characterized only in a certain frequency range. Finally, we verify the effectiveness of the proposed method in a numerical simulation.
| Original language | English |
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| Title of host publication | 2016 European Control Conference, ECC 2016 |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 1377-1382 |
| Number of pages | 6 |
| ISBN (Electronic) | 9781509025916 |
| DOIs | |
| Publication status | Published - 2017 Jan 6 |
| Event | 2016 European Control Conference, ECC 2016 - Aalborg, Denmark Duration: 2016 Jun 29 → 2016 Jul 1 |
Other
| Other | 2016 European Control Conference, ECC 2016 |
|---|---|
| Country | Denmark |
| City | Aalborg |
| Period | 16/6/29 → 16/7/1 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Control and Optimization