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Scientific Computing with MATLAB (R), Second Edition improves
students' ability to tackle mathematical problems. It helps
students understand the mathematical background and find reliable
and accurate solutions to mathematical problems with the use of
MATLAB, avoiding the tedious and complex technical details of
mathematics. This edition retains the structure of its predecessor
while expanding and updating the content of each chapter. The book
bridges the gap between problems and solutions through well-grouped
topics and clear MATLAB example scripts and reproducible
MATLAB-generated plots. Students can effortlessly experiment with
the scripts for a deep, hands-on exploration. Each chapter also
includes a set of problems to strengthen understanding of the
material.
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
Scientific Computing with MATLAB (R), Second Edition improves
students' ability to tackle mathematical problems. It helps
students understand the mathematical background and find reliable
and accurate solutions to mathematical problems with the use of
MATLAB, avoiding the tedious and complex technical details of
mathematics. This edition retains the structure of its predecessor
while expanding and updating the content of each chapter. The book
bridges the gap between problems and solutions through well-grouped
topics and clear MATLAB example scripts and reproducible
MATLAB-generated plots. Students can effortlessly experiment with
the scripts for a deep, hands-on exploration. Each chapter also
includes a set of problems to strengthen understanding of the
material.
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 (R) 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. All the control
schemes and applications are presented in the monograph with either
system simulation results or real experimental results, or both.
Fractional-order Systems and Controls provides readers with a basic
understanding of FOC concepts and methods, so they can extend their
use of FOC in other industrial system applications, thereby
expanding their range of disciplines by exploiting this versatile
new set of control techniques.
This book focuses the solutions of differential equations with
MATLAB. Analytical solutions of differential equations are explored
first, followed by the numerical solutions of different types of
ordinary differential equations (ODEs), as well as the universal
block diagram based schemes for ODEs. Boundary value ODEs,
fractional-order ODEs and partial differential equations are also
discussed.
This book focuses on solving optimization problems with MATLAB.
Descriptions and solutions of nonlinear equations of any form are
studied first. Focuses are made on the solutions of various types
of optimization problems, including unconstrained and constrained
optimizations, mixed integer, multiobjective and dynamic
programming problems. Comparative studies and conclusions on
intelligent global solvers are also provided.
This book focuses the solutions of linear algebra and matrix
analysis problems, with the exclusive use of MATLAB. The topics
include representations, fundamental analysis, transformations of
matrices, matrix equation solutions as well as matrix functions.
Attempts on matrix and linear algebra applications are also
explored.
This book focuses on solving practical problems in calculus with
MATLAB. Descriptions and sketching of functions and sequences are
introduced first, followed by the analytical solutions of limit,
differentiation, integral and function approximation problems of
univariate and multivariate functions. Advanced topics such as
numerical differentiations and integrals, integral transforms as
well as fractional calculus are also covered in the book.
This book presents fundamentals in MATLAB programming, including
data and statement structures, control structures, function writing
and bugging in MATLAB programming, followed by the presentations of
algebraic computation, transcendental function evaluations and data
processing. Advanced topics such as MATLAB interfacing,
object-oriented programming and graphical user interface design are
also addressed.
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 (R) 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. All the control
schemes and applications are presented in the monograph with either
system simulation results or real experimental results, or both.
Fractional-order Systems and Controls provides readers with a basic
understanding of FOC concepts and methods, so they can extend their
use of FOC in other industrial system applications, thereby
expanding their range of disciplines by exploiting this versatile
new set of control techniques.
MATLAB and Simulink are now being used extensively in not only
academia as a teaching aid, a learning aid and a research tool but
also industry for modeling, analysis, design and rapid prototyping.
As a response, Modeling, Analysis and Design of Control Systems in
MATLAB and Simulink emphasizes on practical use of and problem
solving in MATLAB and Simulink following the so-called MAD
(modeling, analysis and design) notion. Readers can not only learn
the control concepts and problem solving methods but also coding
skills by following the numerous inline MATLAB scripts, functions,
reproducible examples as well as chapter-end Problems. The book
service website contains Solution Manual, 1,000 plus
teaching/learning PPTs, and all related codes used in the book for
reproducing the examples.Modeling, Analysis and Design of Control
Systems in MATLAB and Simulink has 12 chapters organized in 5
parts: Foundation, Modeling, Analysis, Design and Rapid
Prototyping. Each chapter ends with Problems section. This book can
be used as a reference text in the introductory control course for
undergraduates in all engineering schools. The coverage of topics
is broad, yet balanced, and it should provide a solid foundation
for the subsequent control engineering practice in both industry
and research institutes. This book will be a good desktop reference
for control engineers and many codes and tools in this book may be
directly applicable in real world problem solving.
Discusses analysis and design techniques for linear feedback
control systems using MATLAB(R) software. By reducing the
mathematics, increasing MATLAB working examples, and inserting
short scripts and plots within the text, the authors have created a
resource suitable for almost any type of user. For beginners, the
book provides an efficient entrance into the field; for readers who
have already had a first course in control, the text helps bridge
the gap between control theory and the use of MATLAB for control
systems; for practicing engineers, it serves as a handy reference.
The book begins with a summary of the properties of linear systems
and addresses modeling and model reduction issues. In the
subsequent chapters on analysis, the authors introduce time domain,
complex plane, and frequency domain techniques. Their coverage of
design includes discussions on model-based controller designs, PID
controllers, and robust control designs. A unique aspect of the
book is its inclusion of a chapter on fractional-order controllers,
which are useful in control engineering practice. Especially useful
for self-study, Linear Feedback Control uses the MATLAB companion
package CtrlLAB, which allows readers to learn quickly while simply
clicking through options with a mouse. Each chapter ends with a set
of problems to help readers strengthen their understanding of the
material. All example scripts within the book, as well as the
CtrlLAB package, are freely downloadable from MATLAB Central.
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