Title
Unbalance estimation using linear and nonlinear regression
Abstract
This paper considers the problem of unbalance estimation of rotating machinery. It is formulated as a parameter estimation problem, where the unknowns enter nonlinearly in a regression model. By use of a certain method, the problem can be reformulated as a linear estimation procedure with a closed form solution. This procedure is sometimes known as the influence coefficient method. In its derivation, no special treatment is devoted to disturbing terms and imperfections in the model. Therefore, a novel method is derived which takes disturbances into account, leading to a nonlinear estimator. The two procedures are compared and analyzed with respect to their statistical accuracy. Using the example of unbalance estimation of a separator, the nonlinear approach is shown to give superior performance.
Year
DOI
Venue
2010
10.1016/j.automatica.2010.06.053
Automatica
Keywords
Field
DocType
Unbalance estimation,Balancing,Nonlinear regression,Linear regression,Variable projection algorithms
Nonlinear system,Regression analysis,Control theory,Closed-form expression,Nonlinear regression,Projection method,Estimation theory,System identification,Mathematics,Linear regression
Journal
Volume
Issue
ISSN
46
11
Automatica
Citations 
PageRank 
References 
1
0.36
1
Authors
2
Name
Order
Citations
PageRank
Peter Nauclér151.35
Torsten Söderström2885566.86