Abstract
| Original language | English |
|---|---|
| Title of host publication | 2015 IEEE 54th Annual Conference on Decision and Control (CDC) December 15-18, 2015. Osaka, Japan |
| Place of Publication | Piscataway |
| Publisher | Institute of Electrical and Electronics Engineers |
| Pages | 115-120 |
| Number of pages | 6 |
| ISBN (Print) | 9781479978861 |
| DOIs | |
| Publication status | Published - 8 Feb 2015 |
| Externally published | Yes |
| 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) |
|---|---|
| Abbreviated title | CDC 2015 |
| Country | Japan |
| City | Osaka |
| Period | 15/12/15 → 18/12/15 |
| Internet address |
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A new kernel-based approach to overparameterized Hammerstein system identification. / Risuleo, R.S.; Bottegal, G.; Hjalmarsson, H.
2015 IEEE 54th Annual Conference on Decision and Control (CDC) December 15-18, 2015. Osaka, Japan. Piscataway : Institute of Electrical and Electronics Engineers, 2015. p. 115-120.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review
TY - GEN
T1 - A new kernel-based approach to overparameterized Hammerstein system identification
AU - Risuleo, R.S.
AU - Bottegal, G.
AU - Hjalmarsson, H.
PY - 2015/2/8
Y1 - 2015/2/8
N2 - IThe object of this paper is the identification of Hammerstein systems, which are dynamic systems consisting of a static nonlinearity and a linear time-invariant dynamic system in cascade. We assume that the nonlinear function can be described as a linear combination of p basis functions. We model the system dynamics by means of an np-dimensional vector. This vector, usually referred to as overparameterized vector, contains all the combinations between the nonlinearity coefficients and the first n samples of the impulse response of the linear block. The estimation of the overparameterized vector is performed with a new regularized kernel-based approach. To this end, we introduce a novel kernel tailored for overparameterized models, which yields estimates that can be uniquely decomposed as the combination of an impulse response and p coefficients of the static nonlinearity. As part of the work, we establish a clear connection between the proposed identification scheme and our recently developed nonparametric method based on the stable spline kernel.
AB - IThe object of this paper is the identification of Hammerstein systems, which are dynamic systems consisting of a static nonlinearity and a linear time-invariant dynamic system in cascade. We assume that the nonlinear function can be described as a linear combination of p basis functions. We model the system dynamics by means of an np-dimensional vector. This vector, usually referred to as overparameterized vector, contains all the combinations between the nonlinearity coefficients and the first n samples of the impulse response of the linear block. The estimation of the overparameterized vector is performed with a new regularized kernel-based approach. To this end, we introduce a novel kernel tailored for overparameterized models, which yields estimates that can be uniquely decomposed as the combination of an impulse response and p coefficients of the static nonlinearity. As part of the work, we establish a clear connection between the proposed identification scheme and our recently developed nonparametric method based on the stable spline kernel.
UR - http://www.mendeley.com/research/new-kernelbased-approach-overparameterized-hammerstein-system-identification
U2 - 10.1109/CDC.2015.7402095
DO - 10.1109/CDC.2015.7402095
M3 - Conference contribution
SN - 9781479978861
SP - 115
EP - 120
BT - 2015 IEEE 54th Annual Conference on Decision and Control (CDC) December 15-18, 2015. Osaka, Japan
PB - Institute of Electrical and Electronics Engineers
CY - Piscataway
ER -