Name
Title | ||
|---|---|---|
New consistent methods for order and coefficient estimation of continuous-time errors-in-variables fractional models |
Abstract | ||
|---|---|---|
The errors-in-variables identification problem concerns dynamic systems in which input and output signals are contaminated by an additive noise. Several estimation methods have been proposed for identifying dynamic errors-in-variables rational models. This paper presents new consistent methods for order and coefficient estimation of continuous-time systems by errors-in-variables fractional models. First, differentiation orders are assumed to be known and only differential equation coefficients are estimated. Two estimators based on Higher-Order Statistics (third-order cumulants) are developed: the fractional third-order based least squares algorithm (ftocls) and the fractional third-order based iterative least squares algorithm (ftocils). Then, they are extended, using a nonlinear optimization algorithm, to estimate both the differential equation coefficients and the commensurate order. The performances of the proposed algorithms are illustrated with a numerical example. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.camwa.2013.04.028 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
nonlinear optimization algorithm,errors-in-variables identification problem concern,errors-in-variables fractional model,fractional third-order,dynamic errors-in-variables,new consistent method,squares algorithm,continuous-time errors-in-variables,third-order cumulants,proposed algorithm,differential equation coefficient,coefficient estimation,system identification,errors in variables | Differential equation,Errors-in-variables models,Mathematical optimization,Higher-order statistics,Nonlinear programming,Input/output,System identification,Mathematics,Parameter identification problem,Estimator | Journal |
Volume | Issue | ISSN |
66 | 5 | 0898-1221 |
Citations | PageRank | References |
5 | 0.61 | 14 |
Authors | ||
7 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Manel Chetoui | 1 | 8 | 3.49 |
| Magalie Thomassin | 2 | 6 | 1.31 |
| Rachid Malti | 3 | 89 | 12.65 |
| Mohamed Aoun | 4 | 70 | 19.48 |
| Slaheddine Najar | 5 | 17 | 3.46 |
| Mohamed Naceur Abdelkrim | 6 | 70 | 28.78 |
| Alain Oustaloup | 7 | 203 | 42.62 |