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Fractional-order systems and control : fundamentals and applications

TLDR
Fractional-order control strategies for Power Electronic Buck Converters have been discussed in this paper, as well as some nonlinear Fractionalorder Control Strategies for nonlinear control strategies.
Abstract
Fundamentals of Fractional-order Systems and Controls.- Fundamentals of Fractional-order Systems.- State-space Representation and Analysis.- Fundamentals of Fractional-order Control.- Fractional-order PID-Type Controllers.- Fractional-order Proportional Integral Controller Tuning for First-order Plus Delay Time Plants.- Fractional-order Proportional Derivative Controller Tuning for Motion Systems.- Fractional-order Proportional Integral Derivative Controllers.- Fractional-order Lead-lag Compensators.- Tuning of Fractional-order Lead-lag Compensators.- Auto-tuning of Fractional-order Lead-lag Compensators.- Other Fractional-order Control Strategies.- Other Robust Control Techniques.- Some Nonlinear Fractional-order Control Strategies.- Implementations of Fractional-order Controllers: Methods and Tools.- Continuous-time and Discrete-time Implementations of Fractional-order Controllers.- Numerical Issues and MATLAB Implementations for Fractional-order Control Systems.- Real Applications.- Systems Identification.- Position Control of a Single-link Flexible Robot.- Automatic Control of a Hydraulic Canal.- Mechatronics.- Fractional-order Control Strategies for Power Electronic Buck Converters.

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Journal ArticleDOI

A Review of Definitions for Fractional Derivatives and Integral

TL;DR: The authors presents a review of definitions of fractional order derivatives and integrals that appear in mathematics, physics, and engineering, and presents a discussion of the relationship between fractional derivatives and integral derivatives.
Journal ArticleDOI

Fractional-order sliding mode based extremum seeking control of a class of nonlinear systems

TL;DR: The proposed FO SM-ESC, involving an FO derivative function 0 D t q sgn ( e ) , 0 ?
Journal ArticleDOI

Fractional order fuzzy control of hybrid power system with renewable generation using chaotic PSO.

TL;DR: This paper investigates the operation of a hybrid power system through a novel fuzzy control scheme employed and its parameters are tuned with a particle swarm optimization (PSO) algorithm augmented with two chaotic maps for achieving an improved performance.
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A new method to estimate the state of charge of lithium-ion batteries based on the battery impedance model

TL;DR: Based on the analysis of the impedance spectra obtained by electrochemical impedance spectroscopy (EIS), a simplified battery impedance model is derived with the constant phase element (CPE), and a fractional order calculus (FOC) method is introduced to model the CPE in the impedance model as discussed by the authors.
Journal ArticleDOI

Fractional Order Systems in Industrial Automation—A Survey

TL;DR: This paper describes linear and nonlinear cases with necessary stability and performance considerations for the benefit of a practicing engineer exploiting informatics in industry.