Oprzędkiewicz, K. Fractional-Order Interval Parameter State Space Model of the One-Dimensional Heat Transfer Process. Energies2024, 17, 3490.
Oprzędkiewicz, K. Fractional-Order Interval Parameter State Space Model of the One-Dimensional Heat Transfer Process. Energies 2024, 17, 3490.
Oprzędkiewicz, K. Fractional-Order Interval Parameter State Space Model of the One-Dimensional Heat Transfer Process. Energies2024, 17, 3490.
Oprzędkiewicz, K. Fractional-Order Interval Parameter State Space Model of the One-Dimensional Heat Transfer Process. Energies 2024, 17, 3490.
Abstract
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.
Keywords
Fractional order systems; interval systems; heat transfer; state equation
Subject
Engineering, Control and Systems Engineering
Copyright:
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