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Fractional-order PID (FOPID) controllers have been used extensively in many control applications to achieve robust control performance. To implement these controllers, curve fitting approximation techniques are widely employed to obtain integer-order approximation of FOPID. The most popular and widely used approximation techniques include the Oustaloup, Matsuda and Cheraff approaches. However, these...
A comparative study of some existing methods for rational approximation of fractional operator (fractional Laplace operator) is presented. The various methods along with their advantages and limitations are described in this paper. Simulation results are shown for different orders of the fractional operator.
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