Fractional Order Systems Control Theory and Applications

This book aims to bring together the latest innovative knowledge, analysis, and synthesis of fractional control problems of nonlinear systems as well as some related applications. Fractional order systems (FOS) are dynamical systems that can be modelled by a fractional differential equation carried with a non-integer derivative. In the last few decades, the growth of science and engineering systems has considerably stimulated the employment of fractional calculus in many subjects of control theory, for example, in stability, stabilization, controllability, observability, observer design, and fault estimation. The application of control theory in FOS is an important issue in many engineering applications. So, to accurately describe these systems, the fractional order differential equations have been introduced.

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  • Author : Omar Naifar
  • Publisher : Springer
  • Pages : 216 pages
  • ISBN : 9783030714451
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKFractional Order Systems Control Theory and Applications

Fractional Order Systems—Control Theory and Applications

Fractional Order Systems—Control Theory and Applications
  • Author : Omar Naifar,Abdellatif Ben Makhlouf
  • Publisher : Springer
  • Release : 31 August 2021
GET THIS BOOKFractional Order Systems—Control Theory and Applications

This book aims to bring together the latest innovative knowledge, analysis, and synthesis of fractional control problems of nonlinear systems as well as some related applications. Fractional order systems (FOS) are dynamical systems that can be modelled by a fractional differential equation carried with a non-integer derivative. In the last few decades, the growth of science and engineering systems has considerably stimulated the employment of fractional calculus in many subjects of control theory, for example, in stability, stabilization, controllability, observability,

Fractional Order Systems

Fractional Order Systems
  • Author : Ahmad Taher Azar,Ahmed G. Radwan,Sundarapandian Vaidyanathan
  • Publisher : Academic Press
  • Release : 16 August 2018
GET THIS BOOKFractional Order Systems

Fractional Order Systems: Optimization, Control, Circuit Realizations and Applications consists of 21 contributed chapters by subject experts. Chapters offer practical solutions and novel methods for recent research problems in the multidisciplinary applications of fractional order systems, such as FPGA, circuits, memristors, control algorithms, photovoltaic systems, robot manipulators, oscillators, etc. This book is ideal for researchers working in the modeling and applications of both continuous-time and discrete-time dynamics and chaotic systems. Researchers from academia and industry who are working in research areas

Fractional-Order Nonlinear Systems

Fractional-Order Nonlinear Systems
  • Author : Ivo Petráš
  • Publisher : Springer Science & Business Media
  • Release : 30 May 2011
GET THIS BOOKFractional-Order Nonlinear Systems

"Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation" presents a study of fractional-order chaotic systems accompanied by Matlab programs for simulating their state space trajectories, which are shown in the illustrations in the book. Description of the chaotic systems is clearly presented and their analysis and numerical solution are done in an easy-to-follow manner. Simulink models for the selected fractional-order systems are also presented. The readers will understand the fundamentals of the fractional calculus, how real dynamical systems can be described

Fractional Order Systems

Fractional Order Systems
  • Author : Riccardo Caponetto
  • Publisher : World Scientific
  • Release : 28 October 2021
GET THIS BOOKFractional Order Systems

This book aims to propose implementations and applications of Fractional Order Systems (FOS). It is well known that FOS can be applied in control applications and systems modeling, and their effectiveness has been proven in many theoretical works and simulation routines. A further and mandatory step for FOS real world utilization is their hardware implementation and applications on real systems modeling. With this viewpoint, introductive chapters on FOS are included, on the definition of stability region of Fractional Order PID

Fractional Order Systems

Fractional Order Systems
  • Author : Riccardo Caponetto
  • Publisher : World Scientific
  • Release : 28 October 2021
GET THIS BOOKFractional Order Systems

This book aims to propose implementations and applications of Fractional Order Systems (FOS). It is well known that FOS can be applied in control applications and systems modeling, and their effectiveness has been proven in many theoretical works and simulation routines. A further and mandatory step for FOS real world utilization is their hardware implementation and applications on real systems modeling. With this viewpoint, introductive chapters on FOS are included, on the definition of stability region of Fractional Order PID

Fractional-order Systems and Controls

Fractional-order Systems and Controls
  • Author : Concepción A. Monje,YangQuan Chen,Blas M. Vinagre,Dingyu Xue,Vicente Feliu-Batlle
  • Publisher : Springer Science & Business Media
  • Release : 28 September 2010
GET THIS BOOKFractional-order Systems and Controls

Fractional-order Systems and Controls details the use of fractional calculus in the description and modeling of systems, and in a range of control design and practical applications. It is largely self-contained, covering the fundamentals of fractional calculus together with some analytical and numerical techniques and providing MATLAB® codes for the simulation of fractional-order control (FOC) systems. Many different FOC schemes are presented for control and dynamic systems problems. Practical material relating to a wide variety of applications is also provided.

Fractional Order Systems

Fractional Order Systems
  • Author : Ahmed G. Radwan,Farooq Ahmad Khanday,Lobna A. Said
  • Publisher : Academic Press
  • Release : 13 October 2021
GET THIS BOOKFractional Order Systems

Fractional Order Systems: An Overview of Mathematics, Design, and Applications for Engineers introduces applications from a design perspective, helping readers plan and design their own applications. The book includes the different techniques employed to design fractional-order systems/devices comprehensively and straightforwardly. Furthermore, mathematics is available in the literature on how to solve fractional-order calculus for system applications. This book introduces the mathematics that has been employed explicitly for fractional-order systems. It will prove an excellent material for students and scholars

Fractional-Order Control Systems

Fractional-Order Control Systems
  • Author : Dingyü Xue
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release : 10 July 2017
GET THIS BOOKFractional-Order Control Systems

This book explains the essentials of fractional calculus and demonstrates its application in control system modeling, analysis and design. It presents original research to find high-precision solutions to fractional-order differentiations and differential equations. Numerical algorithms and their implementations are proposed to analyze multivariable fractional-order control systems. Through high-quality MATLAB programs, it provides engineers and applied mathematicians with theoretical and numerical tools to design control systems. Contents Introduction to fractional calculus and fractional-order control Mathematical prerequisites Definitions and computation algorithms of

Fractional-order Systems and PID Controllers

Fractional-order Systems and PID Controllers
  • Author : Kishore Bingi,Rosdiazli Ibrahim,Mohd Noh Karsiti,Sabo Miya Hassan,Vivekananda Rajah Harindran
  • Publisher : Springer Nature
  • Release : 31 October 2019
GET THIS BOOKFractional-order Systems and PID Controllers

This book presents a detailed study on fractional-order, set-point, weighted PID control strategies and the development of curve-fitting-based approximation techniques for fractional-order parameters. Furthermore, in all the cases, it includes the Scilab-based commands and functions for easy implementation and better understanding, and to appeal to a wide range of readers working with the software. The presented Scilab-based toolbox is the first toolbox for fractional-order systems developed in open-source software. The toolboxes allow time and frequency domains as well as stability

Intelligent Fractional Order Systems and Control

Intelligent Fractional Order Systems and Control
  • Author : Indranil Pan,Saptarshi Das
  • Publisher : Springer
  • Release : 23 August 2012
GET THIS BOOKIntelligent Fractional Order Systems and Control

Fractional order calculus is finding increasing interest in the control system community. Hardware realizations of fractional order controllers have sparked off a renewed zeal into the investigations of control system design in the light of fractional calculus. As such many notions of integer order LTI systems are being modified and extended to incorporate these new concepts. Computational Intelligence (CI) techniques have been applied to engineering problems to find solutions to many hitherto intractable conundrums and is a useful tool for

Bifurcation and Chaos in Fractional-Order Systems

Bifurcation and Chaos in Fractional-Order Systems
  • Author : Marius-F. Danca,Guanrong Chen
  • Publisher : MDPI
  • Release : 19 January 2021
GET THIS BOOKBifurcation and Chaos in Fractional-Order Systems

This book presents a collection of seven technical papers on fractional-order complex systems, especially chaotic systems with hidden attractors and symmetries, in the research front of the field, which will be beneficial for scientific researchers, graduate students, and technical professionals to study and apply. It is also suitable for teaching lectures and for seminars to use as a reference on related topics.

Mathematical Techniques of Fractional Order Systems

Mathematical Techniques of Fractional Order Systems
  • Author : Ahmad Taher Azar,Ahmed G. Radwan,Sundarapandian Vaidyanathan
  • Publisher : Elsevier
  • Release : 11 June 2018
GET THIS BOOKMathematical Techniques of Fractional Order Systems

Mathematical Techniques of Fractional Order Systems illustrates advances in linear and nonlinear fractional-order systems relating to many interdisciplinary applications, including biomedical, control, circuits, electromagnetics and security. The book covers the mathematical background and literature survey of fractional-order calculus and generalized fractional-order circuit theorems from different perspectives in design, analysis and realizations, nonlinear fractional-order circuits and systems, the fractional-order memristive circuits and systems in design, analysis, emulators, simulation and experimental results. It is primarily meant for researchers from academia and industry,

Fractional-Order Modeling of Dynamic Systems with Applications in Optimization, Signal Processing, and Control

Fractional-Order Modeling of Dynamic Systems with Applications in Optimization, Signal Processing, and Control
  • Author : Ahmed G. Radwan,Farooq Ahmad Khanday,Lobna A. Said
  • Publisher : Academic Press
  • Release : 29 October 2021
GET THIS BOOKFractional-Order Modeling of Dynamic Systems with Applications in Optimization, Signal Processing, and Control

Fractional-order Modelling of Dynamic Systems with Applications in Optimization, Signal Processing and Control introduces applications from a design perspective, helping readers plan and design their own applications. The book includes the different techniques employed to design fractional-order systems/devices comprehensively and straightforwardly. Furthermore, mathematics is available in the literature on how to solve fractional-order calculus for system applications. This book introduces the mathematics that has been employed explicitly for fractional-order systems. It will prove an excellent material for students and

Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and their Electronic Realization

Optimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and their Electronic Realization
  • Author : Esteban Tlelo-Cuautle,Luis Gerardo de la Fraga,Omar Guillén Guillén-Fernández,Alejandro Silva-Juárez
  • Publisher : CRC Press
  • Release : 10 May 2021
GET THIS BOOKOptimization of Integer/Fractional Order Chaotic Systems by Metaheuristics and their Electronic Realization

Mathematicians have devised different chaotic systems that are modeled by integer or fractional-order differential equations, and whose mathematical models can generate chaos or hyperchaos. The numerical methods to simulate those integer and fractional-order chaotic systems are quite different and their exactness is responsible in the evaluation of characteristics like Lyapunov exponents, Kaplan-Yorke dimension, and entropy. One challenge is estimating the step-size to run a numerical method. It can be done analyzing the eigenvalues of self-excited attractors, while for hidden attractors