Abstract: Dynamic systems of an arbitrary real order (fractional- order systems) are considered. A concept of a fractional-order - controller, involving fractional-order integrator and fractional-order dif- ferentiator, is proposed. The Laplace transform formula for a new function of the Mittag-Leffler-type made it possible to obtain explicit analytical expressions for the unit-step and unit-impulse response of a linear fractional-order system with fractional-order controller both for the open and closed loop. An example demonstrating the use of the obtained formulas and the advantages of the proposed - controllers is given.
Publication Year: 1999
Publication Date: 1999-01-01
Language: en
Type: article
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Cited By Count: 124
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