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Discrete-time generalized mean fractional order controllers

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Abstract This paper studies the performance of discrete-time fractional order controllers. The fractional derivatives and integrals are numerically implemented by means of a generalized mean of discrete generating functions. The… Click to show full abstract

Abstract This paper studies the performance of discrete-time fractional order controllers. The fractional derivatives and integrals are numerically implemented by means of a generalized mean of discrete generating functions. The two additional degrees of freedom provided by the method, namely the averaging order and the weight of the generating functions, are tuned for increasing the performance of the closed-loop system. Experiments with a fractional order PID controller reveal the benefits of the approach.

Keywords: order; discrete time; fractional order; generalized mean; order controllers

Journal Title: IFAC-PapersOnLine
Year Published: 2018

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