论文信息 - Parameter Estimation of Fractional Systems: Application to the Modeling of a Lead-Acid Battery

Parameter Estimation of Fractional Systems: Application to the Modeling of a Lead-Acid Battery

Abstract Black box modeling of diffusion processes can be performed by fractional systems. The simulation of these particular systems is based on a new fractional integrator, with limited spectral range for non integer order. Parameter estimation of this class of systems is performed by an OE identification technique. This paper presents the application of this new methodology to the modeling of the dynamics of a lead-acid battery.

[1] D. Marquardt. An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[2] J. Beran. Statistical methods for data with long-range dependence , 1992 .

[3] H. F. Raynaud,et al. State-space representation of fractional linear filters , 1997, 1997 European Control Conference (ECC).

[4] A. Oustaloup,et al. Modeling and identification of a non integer order system , 1999, 1999 European Control Conference (ECC).

[5] M. Ichise,et al. An analog simulation of non-integer order transfer functions for analysis of electrode processes , 1971 .