Abstract
In this paper, in order to solve the dimension problem in over-parameterized method (OPM) and the rank constraint problem in subspace identification method (SIM), The nuclear norm subspace identification method (N2SID) is proposed with a combination of nuclear norm minimization (NNM) and least-parameterized method (LPM). NNM is a heuristic convex relaxation of the rank
minimization, and preprocesses the measured data to obtain an optimized Hankel matrix with lower rank for subspace identification. In addition, NNM descends the nonzero singular values of Hankel matrix caused by extra noise near to zero to improve the order identification of SIM. LPM takes into account the dimension problem in the conventional OPM and identifies the Hammerstein system with the least estimation parameters. N2SID benefits the advantages of both NNM and LPM to improve the identification of Hammerstein system. Furthermore, a numerical example is presented to illustrate the improvement on Hammerstein system identification by N2SID through comparing with LPM and OPM.
minimization, and preprocesses the measured data to obtain an optimized Hankel matrix with lower rank for subspace identification. In addition, NNM descends the nonzero singular values of Hankel matrix caused by extra noise near to zero to improve the order identification of SIM. LPM takes into account the dimension problem in the conventional OPM and identifies the Hammerstein system with the least estimation parameters. N2SID benefits the advantages of both NNM and LPM to improve the identification of Hammerstein system. Furthermore, a numerical example is presented to illustrate the improvement on Hammerstein system identification by N2SID through comparing with LPM and OPM.
| Original language | English |
|---|---|
| Title of host publication | 2014 11th World Congress on Intelligent Control and Automation (WCICA) |
| Editors | Hong Wang |
| Place of Publication | Piscataway NJ USA |
| Publisher | IEEE, Institute of Electrical and Electronics Engineers |
| Pages | 2334 - 2339 |
| Number of pages | 6 |
| ISBN (Print) | 9781479958269 |
| DOIs | |
| Publication status | Published - 2015 |
| Event | World Congress on Intelligent Control and Automation 2014 - Shenyang, China Duration: 29 Jun 2014 → 4 Jul 2014 Conference number: 11th |
Conference
| Conference | World Congress on Intelligent Control and Automation 2014 |
|---|---|
| Abbreviated title | WCICA 2014 |
| Country | China |
| City | Shenyang |
| Period | 29/06/14 → 4/07/14 |
Keywords
- Hammerstein System
- Least-parameterized method
- Nuclear Norm Minimization
- Subspace Identification Method