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Fractional-order calculus presents a novel modeling approach for systems with extraordinary dynamical properties by introducing the notions of derivatives and integrals of noninteger order. In system theory this gives rise to extensions to linear, time invariant systems to enhance the description of complex phenomena involving memory or hereditary properties of systems. Standard industrial controllers,...
Fractional-order calculus offers flexible computational possibilities that can be applied to control design thereby improving industrial control loop performance. However, before theoretical results can be carried over to an industrial setting it is important to study the effects of fractional-order control by means of laboratory experiments. In this paper, we study the practical aspects of tuning...
Design and implementation of fractional-order controllers are important problems in contemporary control design practice. In this paper, we discuss issues associated with hardware implementation and real-time simulation of a particular fractional-order controller. The simulation is performed in MATLAB, which is interfaced with the controller by means of a data acquisition board. We provide design...
In this paper, a method for approximating a first-order implicit fractional transfer function, that corresponds to a frequency-bounded fractional differentiator or integrator, is presented. The proposed method is based on a modification of the well-known Newton's method for iterative root approximation. First-order implicit fractional transfer functions have several applications in modeling and control...
FOMCON is a new fractional-order modeling and control toolbox for MATLAB. It offers a set of tools for researchers in the field of fractional-order control. In this paper, we present an overview of the toolbox, motivation for its development and relation to other toolboxes devoted to fractional calculus. We discuss all of the major modules of the FOMCON toolbox as well as relevant mathematical concepts...
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