Digraphs Structures Corresponding to the Analogue Realisation of Fractional Continuous-Time System

13th European Workshop on Advanced Control and Diagnosis

Markowski, Konrad A.^1

Warsaw University of Technology, Faculty of Electrical Engineering, Institute of Control and Industrial Electronics, Koszykowa 75, Warsaw

00-662, Poland^1

关键词: Constant phase element;    Continuous-time linear systems;    Electrical circuit;    Source voltage;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/783/1/012051/pdf
DOI  :  10.1088/1742-6596/783/1/012051

来源: IOP

【 摘 要 】

This paper presents a method of the determination of a minimal realisation of the fractional continuous-time linear system. For the proposed method, a digraph-based algorithm was constructed. In this paper, we have shown how we can perform the transfer matrix using electrical circuits consisting of resistances, capacitance and source voltages. We have also shown how after using the constant phase element method we can realize such a system. The proposed method was discussed and illustrated with some theoretical and practical numerical examples.