On the approximate identification of the leading coefficient of a linear elliptic equation by output error and equation error minimization

1989 ◽  
Vol 10 (3) ◽  
pp. 229-253 ◽  
Author(s):  
Giovanni Crosta
Keyword(s):  
Elliptic Equation ◽  
Error Minimization ◽  
Linear Elliptic Equation ◽  
Output Error ◽  
Equation Error

Advances in System Identification Using Fractional Models

2008 ◽  
Vol 3 (2) ◽  
Author(s):  
Rachid Malti ◽  
Stephane Victor ◽  
Alain Oustaloup
Keyword(s):  
System Identification ◽  
Least Squares ◽  
Prior Knowledge ◽  
Time Domain ◽  
Simultaneous Estimation ◽  
Thermal System ◽  
Fractional Model ◽  
Output Error ◽  
Equation Error ◽  
Fractional Models

This paper presents an up to date advances in time-domain system identification using fractional models. Both equation-error- and output-error-based models are detailed. In the former models, prior knowledge is generally used to fix differentiation orders; model coefficients are estimated using least squares. The latter models allow simultaneous estimation of model coefficients and differentiation orders using nonlinear programing. As an example, a thermal system is identified using a fractional model and is compared to a rational one.

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