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Synthesis of circuit element with fractal dynamics

By Ondřej Domanský


The first aim of this diploma thesis is to clarify problems with circuit elements described by the fractional-order dynamics, show their basic properties and possible applications in circuits with lumped parameters. The second topic is covering the synthesis of two-terminal devices which have different fractional-orders for requested phase shifts. For this kind of devices, the thesis also describes their optimization and approximation in the frequency domain and subsequent implementation in the form of passive ladder structures. The final part of diploma work will be focused on practical realization of universal fractional PID controller and the verification of proper function of this multi-port in various configurations to prove its correct function via real measurement of frequency and time responses

Topics: PID regulátor; Fraktální dynamika; Fractional-order dynamics; PID controller; integrační dvojbran; prvek s konstantním fázovým posuvem (CPE); proportional element; constant phase element (CPE); integration two-port; proporční člen; syntéza pasivních dvojpólů; synthesis of the passive two-terminals; differentiator two-port.; derivační dvojbran.
Publisher: Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií
Year: 2016
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