N. Damean et al., A NEW COMPUTER METHOD FOR TEMPERATURE-MEASUREMENT BASED ON AN OPTIMAL-CONTROL PROBLEM, Computer methods in applied mechanics and engineering, 135(1-2), 1996, pp. 167-185
A new computer method to measure extreme temperatures is presented. Th
e method reduces the measurement of the unknown temperature to the sol
ving of an optimal control problem, using a numerical computer. Based
on this method, a new device for temperature measurement is built. It
consists of a hardware part that includes some standard temperature se
nsors and it also has a software section. The problem of temperature m
easurement, according to this new method, is mathematically modelled b
y means of the one-dimensional heat equation, with boundary and initia
l conditions, describing the heat transfer through the device. The pri
ncipal hardware component of the new device is a rod. The variation of
the temperature which is produced near one end of the rod is determin
ed using some temperature measurements in the other end of the rod and
the new computer method which is described in this work. This device
works as an attenuator of high temperatures and as an amplifier of low
temperatures. In fact, it realizes an extension of the standard worki
ng range of temperature sensors at very high and very low values. The
mathematical model of the device and the computer method are explained
in detail and some possible practical implementations and a collectio
n of simulations are also presented.