Artículos relacionados a Fractional-Order Control Systems: Fundamentals and...
Fractional-Order Control Systems: Fundamentals and Numerical Implementations: 1 (Fractional Calculus in Applied Sciences and Engineering, 1) - Tapa dura
Críticas
Table of Contents Foreword Preface Chapter 1 Introduction to Fractional Calculus and Fractional-order Control 1.1 Historical Review of Fractional Calculus 1.2 Fractional Modelling of the Real World 1.3 Introduction to Fractional-order Control 1.4 Structures of the Book Chapter 2 Mathematical Prerequisites 2.1 Elementary Special Functions 2.1.1 Error and complementary error functions 2.1.2 Gamma functions 2.1.3 Beta functions 2.2 Dawson Functions and Hypergeometric Functions 2.2.1 Dawson function 2.2.2 Hypergeometric functions 2.3 Mittag-Leffler Functions 2.3.1 Mittag-Leffler function with one parameter 2.3.2 Mittag-Leffler functions with two parameters 2.3.3 Mittag-Leffler functions with more parameters 2.3.4 Derivatives of Mittag-Leffler functions 2.3.5 Numerical evaluation of Mittag-Leffler functions 2.4 Some Linear Algebra Techniques 2.4.1 Kronecker product and Kronecker sum 2.4.2 Matrix inverse 2.4.3 Arbitrary matrix function evaluations 2.5 Numerical Optimisation Problems and Solutions 2.5.1 Unconstrained optimisation problems and solutions 2.5.2 Constrained optimisation problems and solutions 2.5.3 Global optimisation solutions 2.6 Laplace Transform 2.6.1 Definitions and properties 2.6.2 Computer solutions to Laplace transform problems Chapter 3 Definitions and Computation Algorithms of Fractional-order Derivatives and Integrals 3.1 Fractional-order Cauchy Integral Formula 3.1.1 Cauchy Integrals 3.1.2 Fractional-order derivative and integral formula for commonly used functions 3.2 Gr]unwald-Letnikov Definition 3.2.1 Deriving high-order derivatives 3.2.2 Gr]unwald-Letnikov definition of fractional-order derivatives 3.2.3 Numerical computation of Gr]unwald-Letnikov derivatives 3.2.4 Podlubny's matrix algorithm 3.2.5 Studies on short-memory effect 3.3 Riemann-Liouville Definition 3.3.1 High-order integrals 3.3.2 Riemann-Liouville fractional-order definition 3.3.3 Riemann-Liouville formula of commonly used functions 3.3.4 Properties of initial time translation 3.3.5 Numerical implementation of Riemann-Liouville definition 3.4 High-precision Computation Algorithms of Fractional-order Deriva- tives and Integrals 3.4.1 Construction of generating functions with arbitrary orders 3.4.2 FFT-based algorithm 3.4.3 A recursive formula 3.4.4 A better fitting at initial instances 3.4.5 Revisit to the matrix algorithm 3.5 Caputo Definition 3.6 Relationships among Different Definitions 3.6.1 Relationship between G-L and R-L definitions 3.6.2 Relationships between Caputo and R-L definitions 3.6.3 Computation of Caputo fractional-order derivatives 3.6.4 High-precision computation of Caputo derivatives 3.7 Properties of Fractional-order Derivatives and Integrals Chapter 4 Solutions of Linear Fractional-order Differential Equations 4.1 Introduction to Linear Fractional-order Differential Equations 4.1.1 General form of linear fractional-order differential equations 4.1.2 Initial value problems of fractional-order derivatives under different definitions 4.1.3 An important Laplace transform formula 4.2 Analytical Solutions of Some Fractional-order Differential Equations 4.2.1 One-term differential equations 4.2.2 Two-term differential equations 4.2.3 Three-term differential equations 4.2.4 General n-term differential equations 4.3 Analytical Solutions of Commensurate-order Differential Equations 4.3.1 General form of commensurate-order differential equations 4.3.2 Some commonly used Laplace transforms in linear fractional- order systems 4.3.3 Analytical solutions of commensurate-order equations 4.4 Closed-form Solutions of Fractional-order Differential Equations with Zero Initial Conditions 4.4.1 Closed-form solution 4.4.2 High-precision closed-form algorithm 4.4.3 Matrix approach for linear differential equations 4.5 Numerical Solutions to Caputo Differential Equations with Nonzero Initial Conditions 4.5.1 Mathematical description of Caputo equations 4.5.2 Taylor auxiliary algorithm 4.5.3 Exponential auxiliary algorithm 4.5.4 Modified exponential auxiliary algorithm 4.6 Numerical Solutions of Irrational Fractional-order Equations 4.6.1 Irrational transfer function expression 4.6.2 Numerical inverse Laplace transforms 4.6.3 Stability assessment of irrational systems 4.6.4 Numerical Laplace transform Chapter 5 Approximation of Fractional-order Operators 5.1 Some of the Continued Fraction based Approximations 5.1.1 Continued fraction approximation 5.1.2 Carlson's method 5.1.3 Matsuda's method 5.2 Oustaloup Filter Approximations 5.2.1 Ordinary Oustaloup approximation 5.2.2 A modified Oustaloup filter 5.3 Integer-order Approximations of Fractional-order Transfer Functions 5.3.1 High-order approximations 5.3.2 Low-order approximation via optimal model reduction tech- niques 5.4 Approximations of Irregular Fractional-order Models 5.4.1 Frequency response fitting approach 5.4.2 Charef approximation 5.4.3 Optimised Charef filters for complicated irrational models Chapter 6 Modelling and Analysis of Multivariable Fractional-order Transfer Function Matrices 159 6.1 FOTF -- Creation of a MATLAB Object 6.1.1 Defining FOTF class 6.1.2 Display function programming 6.1.3 Multivariable FOTF support 6.1.4 Other fundamental facilities 6.2 Interconnections of FOTF Blocks 6.2.1 Multiplications of FOTF blocks 6.2.2 Adding FOTF blocks 6.2.3 Feedback function 6.2.4 Other supporting functions 6.2.5 Conversions between FOTFs and commensurate-order models 6.3 Properties of Linear Fractional-order Systems 6.3.1 Stability analysis 6.3.2 Norms of fractional-order systems 6.4 Frequency Domain Analysis 6.4.1 Frequency domain analysis of SISO systems 6.4.2 Diagonal dominance analysis 6.4.3 Frequency response evaluation under complicated structures 6.4.4 Singular value plots in multivariable systems 6.5 Time Domain Analysis 6.6 Root Locus for Commensurate-order Systems Chapter 7 State Space Modelling and Analysis of Linear Commensurate-order Systems 7.1 Standard Representation of State Space Models 7.2 Modelling of Fractional-order State Space Models 7.2.1 Class design of FOSS 7.2.2 Conversions between FOSS and FOTF objects 7.2.3 Model augmentation with different base orders 7.2.4 Interconnection of FOSS blocks 7.3 Properties of Fractional-order State Space Models 7.3.1 Stability assessment 7.3.2 State space equations and state transition matrices 7.3.3 Controllability and observability 7.3.4 Norm measures 7.4 Analysis of Fractional-order State Space Models 7.5 Extended Linear State Space Models Chapter 8 Numerical Solutions of Nonlinear Fractional-order Differential Equations 8.1 Numerical Solutions of Class of Nonlinear Explicit Caputo Equations 8.2 High-precision Numerical Solutions of Nonlinear Fractional-order Differential Equations 8.3 Simulink Block Library for Typical Fractional-order Components 8.3.1 A FOTF block library 8.3.2 Implementation of FOTF matrix block 8.3.3 Numerical solutions of control problems with Simulink 8.4 Solutions of Fractional-order Differential Equations with Zero Initial Conditions 8.5 Block Diagram Solutions of Caputo Different Equations 8.5.1 Caputo differentiator block 8.5.2 Block diagram based solutions of Caputo equations 8.5.3 Design of Caputo operator blocks Chapter 9 Fractional-order PID Controller Design 9.1 Introduction to Fractional-order PID Controllers 9.2 Optimum Design of Integer-order PID Controllers 9.2.1 Tuning rules for FOPDT plants 9.2.2 Meaningful objective functions for servo control 9.2.3 OptimPID: an optimum PID controller design interface 9.3 Fractional-order PID Controller Tuning Rules for Integer-order Plant Templates 9.3.1 Tuning rules for FOPDT plants 9.3.2 PI D controller design for FOPDT plants 9.3.3 FO-[PD] controller for FOPDT plants 9.3.4 FO-[PD] controller for FOLIDT plants with integrators 9.4 Optimal Design of PI D Controllers 9.4.1 Optimal PI D controller design 9.4.2 Optimal PI D controller design for plants with delays 9.4.3 OptimFOPID: an optimal fractional-order PID controller design interface 9.5 Design of Fuzzy Fractional-order PID Controllers Chapter 10 Controller Design for Multivariable Fractional-order Systems 10.1 Pseudodiagonalisation of multivariable systems 10.2 Parameter Optimisation Design for Multivariable Systems 10.2.1 Parameter optimisation with integer-order controller 10.2.2 Parameter optimisation under fractional-order controllers 10.3 Controller Design with Quantitative Feedback Theory
Reseña del editor
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 derivatives and Integrals Solutions of linear fractional-order differential equations Approximation of fractional-order operators Modelling and analysis of multivariable fractional-order transfer function Matrices State space modelling and analysis of linear fractional-order Systems Numerical solutions of nonlinear fractional-order differential Equations Design of fractional-order PID controllers Frequency domain controller design for multivariable fractional-order Systems Inverse Laplace transforms involving fractional and irrational Operations FOTF Toolbox functions and models Benchmark problems for the assessment of fractional-order differential equation algorithms
"Sobre este título" puede pertenecer a otra edición de este libro.
- EditorialDe Gruyter
- Año de publicación2017
- ISBN 10 3110499991
- ISBN 13 9783110499995
- EncuadernaciónTapa dura
- IdiomaInglés
- Número de páginas390
Comprar nuevo
Ver este artículo
EUR 154,24
EUR 2,32 gastos de envío en Estados Unidos de America
Destinos, gastos y plazos de envíoResultados de la búsqueda para Fractional-Order Control Systems: Fundamentals and...
Imagen del vendedor
Fractional-order Control Systems : Fundamentals and Numerical Implementations
Librería: GreatBookPrices, Columbia, MD, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: As New. Unread book in perfect condition. Nº de ref. del artículo: 29744287
Cantidad disponible: Más de 20 disponibles
Imagen de archivo
Fractional-Order Control Systems : Fundamentals and Numerical Implementations
Librería: Buchpark, Trebbin, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand. | Seiten: 388 | Sprache: Englisch | Produktart: Bücher. Nº de ref. del artículo: 28580263/12
Gastos de envío:
EUR 45,00
De Alemania a Estados Unidos de America
Destinos, gastos y plazos de envío
Cantidad disponible: 1 disponibles
Imagen del vendedor
Fractional-order Control Systems : Fundamentals and Numerical Implementations
Librería: GreatBookPrices, Columbia, MD, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Nº de ref. del artículo: 29744287-n
Cantidad disponible: Más de 20 disponibles
Imagen de archivo
Fractional-Order Control Systems
Impresión bajo demandaLibrería: PBShop.store US, Wood Dale, IL, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
HRD. Condición: New. New Book. Shipped from UK. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. del artículo: L1-9783110499995
Cantidad disponible: Más de 20 disponibles
Imagen del vendedor
Fractional-order Control Systems : Fundamentals and Numerical Implementations
Librería: GreatBookPricesUK, Woodford Green, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: As New. Unread book in perfect condition. Nº de ref. del artículo: 29744287
Gastos de envío:
EUR 17,66
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío
Cantidad disponible: Más de 20 disponibles
Imagen de archivo
Fractional-Order Control Systems
Impresión bajo demandaLibrería: PBShop.store UK, Fairford, GLOS, Reino Unido
Calificación del vendedor: 4 de 5 estrellas
HRD. Condición: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. del artículo: L1-9783110499995
Gastos de envío:
EUR 6,91
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío
Cantidad disponible: Más de 20 disponibles
Imagen del vendedor
Fractional-Order Control Systems : Fundamentals and Numerical Implementations
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. ContentsIntroduction to fractional calculus and fractional-order controlMathematical prerequisitesDefinitions and computation algorithms of fractional-order derivatives and IntegralsSolutions of linear fractional-order differential equationsApproximation of fractional-order operatorsModelling and analysis of multivariable fractional-order transfer function MatricesState space modelling and analysis of linear fractional-order SystemsNumerical solutions of nonlinear fractional-order differential EquationsDesign of fractional-order PID controllersFrequency domain controller design for multivariable fractional-order SystemsInverse Laplace transforms involving fractional and irrational OperationsFOTF Toolbox functions and modelsBenchmark problems for the assessment of fractional-order differential equation algorithms. Nº de ref. del artículo: 9783110499995
Gastos de envío:
EUR 32,17
De Alemania a Estados Unidos de America
Destinos, gastos y plazos de envío
Cantidad disponible: 1 disponibles
Imagen del vendedor
Fractional-Order Control Systems
Impresión bajo demandaLibrería: moluna, Greven, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Overall, the book will be useful for the one interested in the theoretical and numerical tools to design control systems. Krishnan Balachandran in: Zentralblatt MATH 1406.33001 Dingyu Xue, Northea. Nº de ref. del artículo: 146807082
Gastos de envío:
EUR 48,99
De Alemania a Estados Unidos de America
Destinos, gastos y plazos de envío
Cantidad disponible: Más de 20 disponibles
Imagen de archivo
Fractional-Order Control Systems: Fundamentals and Numerical Implementations (Fractional Calculus in Applied Sciences and Engineering, 1)
Librería: Ria Christie Collections, Uxbridge, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: New. In. Nº de ref. del artículo: ria9783110499995_new
Gastos de envío:
EUR 14,11
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío
Cantidad disponible: Más de 20 disponibles
Imagen del vendedor
Fractional-order Control Systems : Fundamentals and Numerical Implementations
Librería: GreatBookPricesUK, Woodford Green, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Nº de ref. del artículo: 29744287-n
Gastos de envío:
EUR 17,66
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío
Cantidad disponible: Más de 20 disponibles