化工程序的非線性特性是造成模式誤差的主要原因之一，本研究係針對一
高純度蒸餾塔的非線性動態特性進行模式識別，並利用所得模式設計多環
路迴饋控制器。非線性模式的研究近年來受到相當的重視，本研究是以漢
彌斯登模式代表高純度蒸餾塔的非線性動態模式，在模式識別過程中，則
利用 T．C．Hsia (1976) 所發展的一般性最小平方法 (general-least-
square) ，此法所須參數較少，且較省時。在設計多環路迴饋控制器方面
，本研究則考慮滿足閉環路韌性穩定性的條件，設計兩種不同的迴饋控制
器，在不同韌性標準考量下以 ITAE 為目標函數設計多環路迴饋控制器，
並分別與線性常態模式所設計的韌性控制器比較其控制效果。模擬結果顯
示，以漢彌斯登非線性模式為基礎所設計的多環路迴饋控制器能有較好的
控制效果。

It is a well known fact that many chemical processes are
inhere- tly nonlinear.And the need for nonlinear modeling and
control ha- s recognized as well.Inspite of this , majority of
chemical proc- esses continue to bo controled vialinear system
analysis and des- ign. An attempt has been made in this
research to develop a nonlinear gain Hammersteinmodel for a
simulated high - purity distillation column . An extension of
SISO modelingtechnique is made to themu- lti - input / multi -
output system in order to reduce thedegree of complexity
involved . Subsequent design of diagonal PI andful- l PI
controllersis also presented. Test results reveal the factt hat
even with the simplified Hammersteinmodel improved controlis
obtained when compared with the linear model based design. It
is believed that much better control is achievable with a full-
scale nonlinear Hammerstein model.