عنوان

Fractional order processes :

0429504438

0429996896

9780429504433

9780429996894

1138586749

9781138586741

Fractional order processes :

[Book]

simulation, identification, and control /

by Seshu Kumar Damarla and Madhusree Kundu.

Boca Raton, FL :

CRC Press/Taylor & Francis Group,

[2019]

©2019

1 online resource (xxiii, 339 pages)

Includes bibliographical references and index.

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.

0

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.

Fractional order processes.

9781138586741

Chaotic behavior in systems-- Mathematical models.

Fractional calculus.

Intelligent control systems-- Mathematics.

Chaotic behavior in systems-- Mathematical models.

Fractional calculus.

MATHEMATICS-- Calculus.

MATHEMATICS-- Mathematical Analysis.

MAT-- 005000

MAT-- 034000

Damarla, Seshu K.

Kundu, Madhusree

20200822112039.0

pn

[Book]

Y