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This paper presents the design of a regulator to control the temperature of a semi-infinite diffusive interface medium by using a unique robust controller for three different materials: aluminum, copper and iron. The second generation CRONE is used to control the temperature at the boundary where the density of flux is applied (i.e., x=0mm) as the parametric uncertainties (due to the copper and the...
The time response is one of the main concerns when controlling and analyzing a system. Getting this response for some systems is sometimes difficult especially if the transfer function modelling this system is non-integer or nonlinear. The thermal diffusive interface is an example of such systems. In fact, when considering the semi-infinite homogeneous plane, the time response can be analytically...
As in the first part, the main purpose of this work is to derive some models used to the design and the validation of an automatic control system of temperature. After presenting, in the first part, the modelling and the approximation of the diffusive interface in the homogeneous semi-infinite plane medium, this second part deals with homogeneous finite plane medium. From partial differential equations...
The fractional differentiation and integration exist in natural phenomena or can be artificially introduced into other domains. Concerning the thermal diffusive interface, the fractional expression is emphasized when taking the applied flux as input for the system and the measured temperature at any point as an output. However, the main problem when facing such systems is to pass from the frequency...
The recognition of fractional order behavior when identifying physical systems is relatively new. One of these fields where the fractional order integration can show up is the thermal diffusive interfaces. In fact, for some special conditions, an integration of order 0.5 appears when identifying the system. So, the objective of this work, divided into two parts, is to study the presence and the effects...
After presenting, in the first part of this work, the homogeneous aluminum linear semi-infinite bar, and having shown that the fractional behavior of order 0.5 appears for relatively high instances which represents low frequencies (it depends in fact on the location of the temperature sensor), this part aims to do almost the same study but for a homogeneous aluminum linear finite bar. In this case,...
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