Journal ArticleDOI
Fractional system identification for lead acid battery state of charge estimation
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This paper deals with the application of fractional system identification to lead acid battery state of charge estimation and a new fractional model of the battery is proposed based on parameter variations of this model.About:
This article is published in Signal Processing.The article was published on 2006-10-01. It has received 285 citations till now. The article focuses on the topics: State of charge & Battery (electricity).read more
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Lyapunov functions for fractional order systems
TL;DR: A new lemma for the Caputo fractional derivatives, when 0 α 1 , is proposed, which has proved to be useful in order to apply the fractional-order extension of Lyapunov direct method, to demonstrate the stability of many fractional order systems, which can be nonlinear and time varying.
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Critical review of the methods for monitoring of lithium-ion batteries in electric and hybrid vehicles
TL;DR: In this paper, the methods for monitoring the battery state of charge, capacity, impedance parameters, available power, state of health, and remaining useful life are reviewed with the focus on elaboration of their strengths and weaknesses for the use in on-line BMS applications.
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Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems
TL;DR: The paper presents two new lemmas related to the Caputo fractional derivatives and a theorem for proving uniform stability in the sense of Lyapunov for fractional order systems and is applied to the stability analysis of two Fractional Order Model Reference Adaptive Control schemes.
Journal ArticleDOI
Review and recent advances in battery health monitoring and prognostics technologies for electric vehicle (EV) safety and mobility
TL;DR: A review of battery prognostics and health management techniques, with a focus on major unmet needs in this area for battery manufacturers, car designers, and electric vehicle drivers, is provided in this article.
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The role of fractional calculus in modeling biological phenomena: A review
TL;DR: This review provides the latest developments and trends in the application of fractional calculus in biomedicine and biology and addresses the properties in respiratory lung tissue, whose natural solutions arise from the midst of FC in the form of non-integer differ-integral solutions and non- integer parametric models.
References
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Book
System Identification: Theory for the User
TL;DR: Das Buch behandelt die Systemidentifizierung in dem theoretischen Bereich, der direkte Auswirkungen auf Verstaendnis and praktische Anwendung der verschiedenen Verfahren zur IdentifIZierung hat.
Book
An Introduction to the Fractional Calculus and Fractional Differential Equations
Kenneth S. Miller,Bertram Ross +1 more
TL;DR: The Riemann-Liouville Fractional Integral Integral Calculus as discussed by the authors is a fractional integral integral calculus with integral integral components, and the Weyl fractional calculus has integral components.