This paper presents a state of charge (SOC) estimation method based on fractional order sliding mode observer (SMO) for lithium-ion batteries. A fractional order RC equivalent circuit model (FORCECM) is firstly constructed to describe the charging and discharging dynamic characteristics of the battery. Then, based on the differential equations of the FORCECM, fractional order SMOs for SOC, polarization voltage and terminal voltage estimation are designed. After that, convergence of the proposed observers is analyzed by Lyapunov's stability theory method. The framework of the designed observer system is simple and easy to implement. The SMOs can overcome the uncertainties of parameters, modeling and measurement errors, and present good robustness. Simulation results show that the presented estimation method is effective, and the designed observers have good performance.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1016/j.isatra.2016.09.017 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Hyperspectral estimation of chlorophyll density in winter wheat using fractional-order derivative combined with machine learning.
Front Plant Sci
January 2025
College of Agriculture, Shanxi Agricultural University, Taigu, Shanxi, China.
Chlorophyll density (ChD) can reflect the photosynthetic capacity of the winter wheat population, therefore achieving real-time non-destructive monitoring of ChD in winter wheat is of great significance for evaluating the growth status of winter wheat. Derivative preprocessing has a wide range of applications in the hyperspectral monitoring of winter wheat chlorophyll. In order to research the role of fractional-order derivative (FOD) in the hyperspectral monitoring model of ChD, this study based on an irrigation experiment of winter wheat to obtain ChD and canopy hyperspectral reflectance.
View Article and Find Full Text PDFForecasting the number of rural migrant workers in Chongqing using the optimized grey N_Verhulst model.
Sci Rep
January 2025
School of International Business, Chongqing Finance and Economics College, Chongqing, China.
Scientific prediction of migrant worker numbers provides decision-making references for resolving rural talent supply issues. Based on the evolutionary patterns and data features of Chongqing's migrant workers, a new grey prediction model is constructed. The new model is constructed by introducing fractional-order operators in the real domain.
View Article and Find Full Text PDFA fractal-fractional order modeling approach to understanding stem cell-chemotherapy combinations for cancer.
Sci Rep
January 2025
Department of Mathematics, Dayalbagh Educational Institute, Agra, India.
The main objective of this work is to study the mathematical model that combines stem cell therapy and chemotherapy for cancer cells. We study the model using the fractal fractional derivative with the Mittag-Leffler kernel. In the analytical part, we study the existence of the solution and its uniqueness, which was studied based on the fixed point theory.
View Article and Find Full Text PDFAnalysis of a class of two-delay fractional differential equation.
Chaos
January 2025
School of Mathematics and Statistics, University of Hyderabad, Hyderabad 500046, India.
The differential equations involving two discrete delays are helpful in modeling two different processes in one model. We provide the stability and bifurcation analysis in the fractional order delay differential equation Dαx(t)=ax(t)+bx(t-τ)-bx(t-2τ) in the ab-plane. Various regions of stability include stable, unstable, single stable region (SSR), and stability switch (SS).
View Article and Find Full Text PDFComparative Sensitivity of MRI Indices for Myelin Assessment in Spinal Cord Regions.
Tomography
January 2025
Laboratory for Biomarker Imaging Science, Graduate School of Biomedical Science and Engineering, Hokkaido University, N15 W7, Kita-ku, Sapporo 060-8638, Japan.
Although multiple magnetic resonance imaging (MRI) indices are known to be sensitive to the noninvasive assessment of myelin integrity, their relative sensitivities have not been directly compared. This study aimed to identify the most sensitive MRI index for characterizing myelin composition in the spinal cord's gray matter (GM) and white matter (WM). MRI was performed on a deer's ex vivo cervical spinal cord.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!