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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

Automatic control --- Mathematical models.

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Mathematics

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Mathematics --- Programming --- Matlab (informatica) --- FFT (fast Fourier transformatie) --- analyse (wiskunde) --- Laplacetransformatie --- toegepaste wiskunde --- wiskunde --- Engineering mathematics --- Mathematical optimization --- Numerical analysis --- 519.6 --- 681.3*D33 --- 681.3*G4 --- 681.3*D33 Languages constructs: abstract data types; concurrent programming structures;control structures; coroutines (Programming languages) --- Languages constructs: abstract data types; concurrent programming structures;control structures; coroutines (Programming languages) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- 681.3*G4 Mathematical software: algorithm analysis; certification and testing; efficiency; portability; reliability and robustness; verification --- Mathematical software: algorithm analysis; certification and testing; efficiency; portability; reliability and robustness; verification --- Data processing --- MATLAB. --- MATLAB (Computer program) --- MATLAB (Computer file) --- Matrix laboratory

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The textbook is intended for teaching MATLAB language and its applications. The book is composed of three parts: MATLAB programming, scientific computing with MATLAB, and system simulation with Simulink. Since MATLAB is widely used in all fields of science and engineering, a good introduction to the language can not only help students learn how to use it to solve practical problems, but also provide them with the skills to use MATLAB independently in their later courses and research. The three parts of the book are well-balanced and tailored to the needs of engineering students, and the mathematical problems commonly encountered in engineering can be easily solved using MATLAB. This textbook is suitable for undergraduate and graduate students majoring in science and engineering.

Computational intelligence. --- Engineering mathematics. --- Computer simulation. --- Computer programming. --- Computational Intelligence. --- Engineering Mathematics. --- Computer Modelling. --- Programming Techniques.