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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...
This paper presents the design of the temperature control of a diffusive medium by using a unique robust controller for three different materials: aluminum, copper and iron. For the control-system design, the aluminum is selected as the material defining the nominal model. Then, the second generation CRONE control is used because the parametric uncertainty (due to the copper and the iron) leads to...
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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