Fractional system identification for lead acid battery state of charge estimation

By Jocelyn Sabatier, Mohamed Aoun, Alain Oustaloup, G. Grégoire, F. Ragot, Patrick Roy. Signal Processing, 2006

309 citations recorded by the source corpus.

Subfields: Automotive Engineering, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/0be7f8455e705e4a77edac0fde44b11ef1d72c67

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In Automotive Engineering

In Control and Systems Engineering

Citations in the corpus

Time-domain fitting of battery electrochemical impedance models (2015, methodology): “Various algorithms have been proposed which are based on classical least-squares estimation techniques, with applications to thermal diffusion processes [32] and state-of-charge estimation in batteries [33].”
An overview of the CRONE approach in system analysis, modeling and identification, observation and control (2008, methodology): “(52) This model is based on implicit fractional order integration, fractional order n1 and n2 being not directly applied to Laplace variable s.This model has been validated by several trails, using frequency and time data (Sabatier et al, 2006).”
An introduction to the fractional continuous-time linear systems: the 21st century systems (2008, background): “This explains why we can find fractional calculus in ■ Materials Theory [13], [16], [ 53 ], [59] ■ Control [4], [23], [32], [47]‐[50], [62]‐[64] ■ Viscoelasticity [28] ■ Electromagnetism [10], [11] ■ Statistical Mechanics [58] ■ Diffusion Theory [14], [15], [27], [33] ■ Internet Traffic [68] ■ Bioen”
Fractional-order models of supercapacitors, batteries and fuel cells: a survey (2015, unknown): “– Modeling the impedance of lead-acid [32], nickel/metal hydride [33], and lithium-ion batteries [34, 35] in finite frequency bands; – Determining the relationship between fractional-order model parameters and state-of-charge of nickel-cadmium [36], lithium-ion [37–39], alkaline [40], leadacid [41] ”
Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems (2015, background): “Fractional operators can be found in the identification field, when modeling systems using fractional differential equations, such as the diffusion process found in batteries [2], some heat transfer process [3], the effect of the frequency in induction machines [4], amongst others.”
Lyapunov functions for fractional order systems (2014, background): “For instance it can be mentioned the diffusion process, such as those founded in batteries [2], some heat transfer process [3], the effect of the frequency in induction machines [4], amongst others.”
A review of fractional-order techniques applied to lithium-ion batteries, lead-acid batteries, and supercapacitors (2018, background): “[94] adopted this approach to estimate internal states of lead-acid batteries and then demonstrated its effectiveness in a laboratory environment, where measurements are usually less noisy than real-world applications.”