System identification (2nd ed.): theory for the user
System identification (2nd ed.): theory for the user
Fractional system identification for lead acid battery state of charge estimation
Signal Processing - Fractional calculus applications in signals and systems
Brief paper: Maximum likelihood identification of noisy input-output models
Automatica (Journal of IFAC)
An improved bias-compensation approach for errors-in-variables model identification
Automatica (Journal of IFAC)
Identification of continuous-time errors-in-variables models
Automatica (Journal of IFAC)
Third-order cumulants based methods for continuous-time errors-in-variables model identification
Automatica (Journal of IFAC)
Fractional modelling and identification of thermal systems
Signal Processing
Automatica (Journal of IFAC)
Brief paper: Analytical computation of the H2-norm of fractional commensurate transfer functions
Automatica (Journal of IFAC)
Brief paper: Stability and resonance conditions of elementary fractional transfer functions
Automatica (Journal of IFAC)
Parameter estimation for continuous-time models-A survey
Automatica (Journal of IFAC)
Parameter and differentiation order estimation in fractional models
Automatica (Journal of IFAC)
Hi-index | 0.09 |
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.