Approximation of the fractional order transfer functions with integer order transfer functions

Karsky, Vilem; Tuma, Martin; Jura, Pavel

doi:10.1063/5.0082206

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Generalized Laguerre Functions1

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2022

2023

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“…GLFs are based on generalized Laguerre polynomials. Generalized Laguerre polynomials are defined according to [16][17][18][25][26][27] as…”

Section: Generalized Laguerre Functionsmentioning

confidence: 99%

Design PID Controllers Using Generalized Laguerre Functions

Karský¹,

Tůma²

2022

RADIOENGINEERING

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This paper deals with a method of designing PID controllers. Generalized Laguerre functions were used for this task. Generalized Laguerre functions generate an orthogonal base in the time domain and the operator domain. This property of generalized Laguerre functions is beneficially used for the design of the PID controller. Parameters for generalized Laguerre function PID controllers are computed from the Laguerre series of the open loop and the Laguerre series of the ideal open loop. To satisfy this goal, the plant transfer function, the controller transfer function, and the ideal open loop transfer function are transformed into a generalized Laguerre functions base. Three examples are shown to present this method.

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“…GLFs are based on generalized Laguerre polynomials. Generalized Laguerre polynomials are defined according to [16][17][18][25][26][27] as…”

Section: Generalized Laguerre Functionsmentioning

confidence: 99%