### Abstract

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.

Original language | English |
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Title of host publication | Proceedings of the 15th International Heat Transfer Conference, IHTC 2014 |

Publisher | Begell House Inc. |

Publication status | Published - 2014 |

Externally published | Yes |

Event | 15th International Heat Transfer Conference, IHTC 2014 - Kyoto, Japan Duration: 2014 Aug 10 → 2014 Aug 15 |

### Other

Other | 15th International Heat Transfer Conference, IHTC 2014 |
---|---|

Country | Japan |

City | Kyoto |

Period | 14/8/10 → 14/8/15 |

### Fingerprint

### Keywords

- Conduction
- Manufacturing
- Model predictive control
- Optimal control
- Precise process temperature control

### ASJC Scopus subject areas

- Mechanical Engineering
- Condensed Matter Physics

### Cite this

*Proceedings of the 15th International Heat Transfer Conference, IHTC 2014*Begell House Inc..

**Study on model predictive control to minimize temperature change at multi positions in vertical plate with varying heat generation.** / Hirasawa, Shigeki; Kawanami, Tsuyoshi; Shirai, Katsuaki.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the 15th International Heat Transfer Conference, IHTC 2014.*Begell House Inc., 15th International Heat Transfer Conference, IHTC 2014, Kyoto, Japan, 14/8/10.

}

TY - GEN

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

UR - http://www.scopus.com/inward/record.url?scp=84964556691&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84964556691&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84964556691

BT - Proceedings of the 15th International Heat Transfer Conference, IHTC 2014

PB - Begell House Inc.

ER -