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Fractional Order Processes - Simulation, Identification, and Control (Hardcover)
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Fractional Order Processes - Simulation, Identification, and Control (Hardcover)
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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.
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