publication . Preprint . 2015

Structural Identifiability Analysis of Fractional Order Models with Applications in Battery Systems

Alavi, S. M. Mahdi; Mahdi, Adam; Jacob, Pierre E.; Payne, Stephen J.; Howey, David A.;
Open Access English
  • Published: 04 Nov 2015
Abstract
This paper presents a method for structural identifiability analysis of fractional order systems by using the coefficient mapping concept to determine whether the model parameters can uniquely be identified from input-output data. The proposed method is applicable to general non-commensurate fractional order models. Examples are chosen from battery fractional order equivalent circuit models (FO-ECMs). The battery FO-ECM consists of a series of parallel resistors and constant phase elements (CPEs) with fractional derivatives appearing in the CPEs. The FO-ECM is non-commensurate if more than one CPE is considered in the model. Currently, estimation of battery FO-E...
Subjects
free text keywords: Mathematics - Optimization and Control
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