Fractional order processes: simulation, identification, and control

✍ Scribed by Damarla, Seshu K.; Kundu, Madhusree

• Publisher: CRC Press/Taylor & Francis Group
• Year: 2019
• Tongue: English
• Leaves: 365
• Category: Library

✦ Synopsis

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.  Read more...

Abstract: 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

✦ Table of Contents

Content: Mathematical postulations --
Numerical method for simulation of physical processes represented by weakly singular Fredholm, Volterra, and Volterra-Fredholm integral equations --
Numerical method for simulation of physical processes modeled by Abel's integral equations --
Numerial method for simulation of physical processes described by fractional-order integro-differential equations --
Numerical method for simulation of physical processes represented by stiff and nonstiff fractional-order differential equations, and differential-algebraic equations --
Numerical method for simulation of fractional diffusion-wave equation --
Identification of fractional order linear and nonlinear systems from experimental or simulated data --
Design of fractional order controllers using triangular strip operational matrices --
Rational integer order system approximation for irrational fractional order systems --
Numerical method for solving fractional-order optimal control problems.

✦ Subjects

Fractional calculus.;Intelligent control systems -- Mathematics.;Chaotic behavior in systems -- Mathematical models.;MATHEMATICS -- Calculus.;MATHEMATICS -- Mathematical Analysis.