Fractional Order, Interval Parameter, State Space Model of the One-Dimensional Heat Transfer Process

Krzysztof Oprzędkiewicz

doi:10.20944/preprints202406.0835.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 11 June 2024 / Approved: 11 June 2024 / Online: 12 June 2024 (12:49:15 CEST)

In the paper the new, fractional order, state space model of a heat transfer in a one- 1 dimensional metallic rod is addressed. The fractional orders of derivative along space and time 2 are not exactly known and they are described by intervals. The proposed model is the interval 3 expanding of the state space fractional model of the one dimensional heat transfer. It is expected to 4 better describe the reality because interval order of each real process is hard to estimate. Elementary 5 properties of the proposed model are analysed. Theoretical results are experimentally validated using 6 data from real experimental laboratory system.

Fractional order systems; interval systems; heat transfer; state equation

Engineering, Control and Systems Engineering

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Fractional Order, Interval Parameter, State Space Model of the One-Dimensional Heat Transfer Process

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