Fractional Order Processes

Fractional Order Processes
Author: Seshu Kumar Damarla
Publisher: CRC Press
Total Pages: 263
Release: 2018-09-03
Genre: Mathematics
ISBN: 0429996888

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The book presents efficient numerical methods for simulation and analysis of physical processes exhibiting fractional order (FO) dynamics. The book introduces FO system identification method to estimate parameters of a mathematical model under consideration from experimental or simulated data. A simple tuning technique, which aims to produce a robust FO PID controller exhibiting iso-damping property during re-parameterization of a plant, is devised in the book. A new numerical method to find an equivalent finite dimensional integer order system for an infinite dimensional FO system is developed in the book. The book also introduces a numerical method to solve FO optimal control problems. Key features Proposes generalized triangular function operational matrices. Shows significant applications of triangular orthogonal functions as well as triangular strip operational matrices in simulation, identification and control of fractional order processes. Provides numerical methods for simulation of physical problems involving different types of weakly singular integral equations, Abel’s integral equation, fractional order integro-differential equations, fractional order differential and differential-algebraic equations, and fractional order partial differential equations. Suggests alternative way to do numerical computation of fractional order signals and systems and control. Provides source codes developed in MATLAB for each chapter, allowing the interested reader to take advantage of these codes for broadening and enhancing the scope of the book itself and developing new results.


Fractional Order Processes
Language: en
Pages: 263
Authors: Seshu Kumar Damarla
Categories: Mathematics
Type: BOOK - Published: 2018-09-03 - Publisher: CRC Press

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The book presents efficient numerical methods for simulation and analysis of physical processes exhibiting fractional order (FO) dynamics. The book introduces F
Fractional Processes and Fractional-Order Signal Processing
Language: en
Pages: 310
Authors: Hu Sheng
Categories: Technology & Engineering
Type: BOOK - Published: 2011-10-20 - Publisher: Springer Science & Business Media

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Fractional processes are widely found in science, technology and engineering systems. In Fractional Processes and Fractional-order Signal Processing, some compl
Fractional Order Signal Processing
Language: en
Pages: 110
Authors: Saptarshi Das
Categories: Technology & Engineering
Type: BOOK - Published: 2011-09-15 - Publisher: Springer Science & Business Media

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The book tries to briefly introduce the diverse literatures in the field of fractional order signal processing which is becoming an emerging topic among an inte
Fractional-order Systems and Controls
Language: en
Pages: 430
Authors: Concepción A. Monje
Categories: Technology & Engineering
Type: BOOK - Published: 2010-09-28 - Publisher: Springer Science & Business Media

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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 pr
Fractional-order Systems and PID Controllers
Language: en
Pages: 256
Authors: Kishore Bingi
Categories: Technology & Engineering
Type: BOOK - Published: 2019-10-31 - Publisher: Springer Nature

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This book presents a detailed study on fractional-order, set-point, weighted PID control strategies and the development of curve-fitting-based approximation tec