熱軋製程中精軋區溫度控制之研究

The Research of Temperature Control on Steel Hot Rolling during Finishing Milling Process

朱倉環(Chang Hwan Chu)

指導教授 ： 吳昌暉

元智大學/工程學院/機械工程學系/碩士(1998年)

摘要

本研究主要是針對含時間延遲之一階系統，從增益邊限與相位邊限去推導、設計PID控制器。先討論一些文獻上PI、PID控制器調整法則應用在中鋼水簾系統的時域響應與頻率響應，其上升時間、最大超越量、安定時間與增益邊限、相位邊限的表現。
接者研究與探討以上各控制器改良的空間。由控制器之阻尼比的觀念，推導出改良後的Ziegler-Nichols_Chu PID控制器。再參考Ho-Hang-Cao PI與Ho-Hang-Zhou PID控制器的設計概念，由使用者指定增益邊限與相位邊限，推導出改良後的Ho-Hang-Zhou_Chu PID控制器。然後討論其應用時域響應與頻率響應的結果。最後，針對參數發生最大誤差25%時，探討各控制器之強健性。實際應用的結果可以發現，Ho-Hang-Zhou_Chu PID控制器的確是個優異的、自我調適的PID控制器。

關鍵字

PID控制器 ； 優異控制 ； 自我調適式 ； 增益邊限 ； 相位邊限 ； 強健性

並列摘要

This research derives to tune/design the PID controller to meet user-specified gain margin and phase margin for first-order plants with time lag. First, the effects of PI, PID controller on rise time, overshoot,setting time, and gain margin, phase margin for CSC water curtain are analyzed.
Then, research and discuss the improve space of these controllers''tuning methods. A improved formulae "Ziegler-Nichols_Chu PID" is derived from controller''s damp. Again, reference the designed concepts of Ho-Hang-Cao PI and Ho-Hang-Zhou PID, a new improved formulae "Ho-Hang-Zhou_Chu PID" is derived. Similarly, the effects of these tuning methods on time response and frequency response are analyzed.Finially, discuss all tuning methods'' robustness, when plant has 25% error.In practical application results, it is found that "Ho-Hang-Zhou_Chu PID" is really a adaptive and selt-tuning PID controller.

並列關鍵字

PID controller ； adaptive control ； selt-tuning ； gain margin ； phase margin ； robustness

參考文獻

[2] 王敏和，”熱軋廠精軋區溫控系統前饋與回饋控制器設計”，元智大學機械工程研究所，碩士論文，民國86年6月。

[4] Babar Z. Khan and Brad Lehman, “Setpoint PI Controller for System with Large Normalized Dead Time”, IEEE Transactions on Control Systems Technology, Vol. 4, No.4, pp. 459-466, July 1996.

[5] W. K. Ho, C.C. Hang and L. S. Cao, “Tunning of PI Controllers Based on Gain and Phase Margin Specification”, Automatica, Vol. 31, No. 3, pp. 497-502, 1995.

[6] Weng Khuen Ho, Chang Chieh Hang and Junhong Zhou, “Self-Tuning PID Control of a Plant with Under-Damped Response with Specification on Gain and Phase Margin”, IEEE Transactions on Control Systems Technology, Vol. 5, No. 4, pp. 446-452,July 1997.

[11] B. C. Kuo, "Automatic Control Systems", Sixth Edition, Prentice-Hall , 1991.