Abstract
In this paper, a new approach for analyzing the degree of the difficulty in estimating parameters is proposed. The approach targets at linear continuous-time models with physically-meaningful parameters and is based on the newly introduced normalized parameter sensitivity plot. The plot illustrates how the identification inputs contribute to the estimation accuracy in frequency domain and visualize the relative relationship between the model sensitivities for the parameters. In the paper, it is proven that there is a practically important accuracy limitation derived from the relative relationship. And the proposed plot enables to evaluate the limitation in a visual way. To show the applicability of the theoretical discussion in practical situations, a numerical experiment based on a mechanical system model is presented. And, a model of a rechargeable battery for electric vehicles is analyzed by the proposed approach to illustrate the effectiveness of the approach in devising strategies for estimating model parameters and selecting model structures.
| Original language | English |
|---|---|
| Title of host publication | Proceedings of the IEEE Conference on Decision and Control |
| Publisher | Institute of Electrical and Electronics Engineers Inc. |
| Pages | 6686-6691 |
| Number of pages | 6 |
| Volume | 2016-February |
| ISBN (Print) | 9781479978861 |
| DOIs | |
| Publication status | Published - 2016 Feb 8 |
| Event | 54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan Duration: 2015 Dec 15 → 2015 Dec 18 |
Other
| Other | 54th IEEE Conference on Decision and Control, CDC 2015 |
|---|---|
| Country | Japan |
| City | Osaka |
| Period | 15/12/15 → 15/12/18 |
Fingerprint
Keywords
- Analytical models
- Estimation
- Manganese
- Mathematical model
- Numerical models
- Reactive power
- Sensitivity
ASJC Scopus subject areas
- Control and Systems Engineering
- Modelling and Simulation
- Control and Optimization
Cite this
Analysis of difficulty in estimating physically-meaningful model parameters based on normalized parameter sensitivity plot. / Maruta, Ichiro; Baba, Atsushi; Adachi, Shuichi.
Proceedings of the IEEE Conference on Decision and Control. Vol. 2016-February Institute of Electrical and Electronics Engineers Inc., 2016. p. 6686-6691 7403272.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Analysis of difficulty in estimating physically-meaningful model parameters based on normalized parameter sensitivity plot
AU - Maruta, Ichiro
AU - Baba, Atsushi
AU - Adachi, Shuichi
PY - 2016/2/8
Y1 - 2016/2/8
N2 - In this paper, a new approach for analyzing the degree of the difficulty in estimating parameters is proposed. The approach targets at linear continuous-time models with physically-meaningful parameters and is based on the newly introduced normalized parameter sensitivity plot. The plot illustrates how the identification inputs contribute to the estimation accuracy in frequency domain and visualize the relative relationship between the model sensitivities for the parameters. In the paper, it is proven that there is a practically important accuracy limitation derived from the relative relationship. And the proposed plot enables to evaluate the limitation in a visual way. To show the applicability of the theoretical discussion in practical situations, a numerical experiment based on a mechanical system model is presented. And, a model of a rechargeable battery for electric vehicles is analyzed by the proposed approach to illustrate the effectiveness of the approach in devising strategies for estimating model parameters and selecting model structures.
AB - In this paper, a new approach for analyzing the degree of the difficulty in estimating parameters is proposed. The approach targets at linear continuous-time models with physically-meaningful parameters and is based on the newly introduced normalized parameter sensitivity plot. The plot illustrates how the identification inputs contribute to the estimation accuracy in frequency domain and visualize the relative relationship between the model sensitivities for the parameters. In the paper, it is proven that there is a practically important accuracy limitation derived from the relative relationship. And the proposed plot enables to evaluate the limitation in a visual way. To show the applicability of the theoretical discussion in practical situations, a numerical experiment based on a mechanical system model is presented. And, a model of a rechargeable battery for electric vehicles is analyzed by the proposed approach to illustrate the effectiveness of the approach in devising strategies for estimating model parameters and selecting model structures.
KW - Analytical models
KW - Estimation
KW - Manganese
KW - Mathematical model
KW - Numerical models
KW - Reactive power
KW - Sensitivity
UR - http://www.scopus.com/inward/record.url?scp=84962040547&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84962040547&partnerID=8YFLogxK
U2 - 10.1109/CDC.2015.7403272
DO - 10.1109/CDC.2015.7403272
M3 - Conference contribution
AN - SCOPUS:84962040547
SN - 9781479978861
VL - 2016-February
SP - 6686
EP - 6691
BT - Proceedings of the IEEE Conference on Decision and Control
PB - Institute of Electrical and Electronics Engineers Inc.
ER -