2015/11/04 by S. M. Mahdi Alavi, Seyed Mohammad Mahdi Alavi, Alavi, S. M. Mahdi +9
Engineering · Mathematics · #Advanced Battery Technologies Research #Advanced Control Systems Design #FOS: Mathematics #Fault Detection and Control Systems #Optimization and Control (math.OC) #math.OC
paper · pdf · doi:10.48550/arxiv.1511.01402
arxiv created 2015/11/04 · openalex publication_date 2015/11/04 · arxiv updated 2015/11/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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-ECMs is performed mainly by fitting in the frequency domain, requiring costly electrochemical impedance spectroscopy equipment. This paper aims to analyse the structural identifiability of battery FO-ECMs directly in the time domain. It is shown that FO-ECMs with finite numbers of CPEs are structurally identifiable. In particular, the FO-ECM with a single CPE is structurally globally identifiable.