Fractional Calculus Applied to the Generalized Model and Control of an Electrohydraulic System
Edgar Hiram Robles,
Felipe J. Torres,
Antonio J. Balvantín-García
et al.
Abstract:In this paper, fractional calculus is used to develop a generalized fractional dynamic model of an electrohydraulic system composed of a servo valve and a hydraulic cylinder, where a fractional position controller PIγDμ is proposed for minimizing the performance index according to the integral of the time-weighted absolute error (ITAE). First, the general mathematical equations of the cylinder and servo valve are used to obtain the transfer functions in fractional order by applying Caputo’s definition and a La… Show more
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