Name
Title | ||
|---|---|---|
Identification of Physical Parameters and Instrumental Variables Validation With Two-Stage Least Squares Estimator |
Abstract | ||
|---|---|---|
This paper addresses physical parameters identification of mathematical models that are linear in relation to these physical parameters. We can obtain good results with the least squares technique, provided that a well-tuned data filtering is used, and by using instrumental variable (IV) methods, which deal with the problem of noisy observation matrix. However, IV theory is based on instruments validity. In econometrics, statistical tests evaluating instruments quality have been developed. They make use of the two-stage least squares estimator and the concentration parameter introduced by Basmann. In this paper we show how to extend econometric theory to control engineering. An algorithm evaluating instruments quality is presented and experimentally validated on a two-degrees-of-freedom SCARA robot. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1109/TCST.2012.2199321 | Control Systems Technology, IEEE Transactions |
Keywords | Field | DocType |
least squares approximations,matrix algebra,parameter estimation,robots,statistical testing,IV method,SCARA robot,concentration parameter,control engineering,data filtering,econometrics,instrumental variable validation,least squares technique,observation matrix,physical parameter identification,statistical test,two-stage least squares estimator,Experimental identification,instrumental variables (IVs) evaluation,two-stage least squares (LS) estimator | Least squares,Mathematical optimization,Newey–West estimator,Control theory,Algorithm,Generalized least squares,Non-linear least squares,Total least squares,Explained sum of squares,Simultaneous equations model,Linear least squares,Mathematics | Journal |
Volume | Issue | ISSN |
21 | 4 | 1063-6536 |
Citations | PageRank | References |
4 | 0.52 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alexandre Janot | 1 | 86 | 12.37 |
| Pierre-olivier Vandanjon | 2 | 48 | 5.38 |
| Maxime Gautier | 3 | 477 | 76.28 |