Positive Stable Realisation of Fractional Electrical Circuits Consisting of n Subsystem

12th European Workshop on Advanced Control and Diagnosis

Markowski, Konrad Andrzej^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: Continuous-time;    Electrical circuit;    Fractional order;    Positive stable;    Positive systems;    Source voltage;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/659/1/012041/pdf
DOI  :  10.1088/1742-6596/659/1/012041

来源: IOP

【 摘 要 】

This paper presents a method of the determination of a positive stable realisation of the fractional continuous-time positive system consisting of n subsystems with one fractional order and with different fractional orders. For the proposed method, a digraph-based algorithm was constructed. In this paper, we have shown how we can realise the transfer matrix using electrical circuits consisting of resistances, inductances, capacitances and source voltages. The proposed method was discussed and illustrated with some numerical examples.