TY - CONF
T1 - Study on model predictive control to minimize temperature change at multi positions in vertical plate with varying heat generation
AU - Hirasawa, Shigeki
AU - Kawanami, Tsuyoshi
AU - Shirai, Katsuaki
PY - 2014
Y1 - 2014
N2 - Precise temperature control under noise-temperature change is required in high-precision manufacturing process. We analytically study the model predictive control to minimize temperature change at multi object positions in a two-dimensional vertical plate with varying noise-heat-generations. The noise-heatgenerations are that the heating-ON and OFF every 300 s, and it makes temperature change of 2.5° at the object positions in the plate without control. Control-heaters in the plate are controlled with the model predictive control method to minimize temperature change at the object positions. In this work, we study the method to minimize temperature change at the multi object positions in the plate without increasing number of the control-heaters. We found that temperature changes at the multi positions can be minimized, when heating rate distribution of the control-heaters is determined so that the steady temperature distribution at the control-heaters for only heating of the control-heat-generation comes close to that for only heating of the noise-heat-generation. Change of the object temperature at the multi positions using this method is 0.03°, which is 1/5 times smaller than that with uniform heating rate of the control-heaters (0.16°) and 1/80 times smaller than that without control (2.5°). We also study the effect of artificial error in the dynamic predictive model for one object position. Error in the dynamic predictive model causes various patterns of temperature change at the object position such as periodical error and oscillation error.
AB - Precise temperature control under noise-temperature change is required in high-precision manufacturing process. We analytically study the model predictive control to minimize temperature change at multi object positions in a two-dimensional vertical plate with varying noise-heat-generations. The noise-heatgenerations are that the heating-ON and OFF every 300 s, and it makes temperature change of 2.5° at the object positions in the plate without control. Control-heaters in the plate are controlled with the model predictive control method to minimize temperature change at the object positions. In this work, we study the method to minimize temperature change at the multi object positions in the plate without increasing number of the control-heaters. We found that temperature changes at the multi positions can be minimized, when heating rate distribution of the control-heaters is determined so that the steady temperature distribution at the control-heaters for only heating of the control-heat-generation comes close to that for only heating of the noise-heat-generation. Change of the object temperature at the multi positions using this method is 0.03°, which is 1/5 times smaller than that with uniform heating rate of the control-heaters (0.16°) and 1/80 times smaller than that without control (2.5°). We also study the effect of artificial error in the dynamic predictive model for one object position. Error in the dynamic predictive model causes various patterns of temperature change at the object position such as periodical error and oscillation error.
KW - Conduction
KW - Manufacturing
KW - Model predictive control
KW - Optimal control
KW - Precise process temperature control
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U2 - 10.1615/ihtc15.opt.008411
DO - 10.1615/ihtc15.opt.008411
M3 - Paper
AN - SCOPUS:85088767591
T2 - 15th International Heat Transfer Conference, IHTC 2014
Y2 - 10 August 2014 through 15 August 2014
ER -