http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
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.
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.
by Seshu Kumar Damarla and Madhusree Kundu.
Includes bibliographical references and index.
Boca Raton, FL : CRC Press/Taylor & Francis Group, [2019]