Design PID Controllers Using Generalized Laguerre Functions
Abstract
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.
Keywords
PID controller, PI controller, PD controller, fractional order systems, generalized Laguerre functions, orthogonal functionsPersistent identifier
http://hdl.handle.net/11012/208221Document type
Peer reviewedDocument version
Final PDFSource
Radioengineering. 2022 vol. 31, č. 3, s. 390-397. ISSN 1210-2512https://www.radioeng.cz/fulltexts/2022/22_03_0390_0397.pdf
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