- 作者: Chen, Cheng-Liang; Hsu, Shuo-Huan; Lin, Wen-Kuei; Wang, Tzxy-Chyi
- 中文摘要: 本文旨在探討非線性動態系統之建模問題。所提出的方法, 是依據可能操作範圍, 以口語化方式區分為數個較小區域, 於每一區域建立一個線性模式代表區域內之動態行為, 再透過模糊理論方式連結此多重線性模式, 即可建構出一個能充份描述整體性非線性行為的程序動態模式。最後並以三個常見的化工程序---非等溫反應器、高純度蒸餾塔和酸鹼滴定程序做為多重線性模式識別之範例, 說明所提非線性動態系統建模方法之可行性。
- 英文摘要: This work presents a nonlinear dynamic model based on several local linear models under different operating conditions. Response of the global nonlinear dynamic model is also derived by weighting the sum of all local linear model outputs. In addition, the fuzzy set theory is applied to account for the weighting factors for the local models. Also presented herein are two novel means of estimating the multiple linear models' output: the parameter interpolation method and the output difference interpolation method. According to our results, these two methods are identical in terms of interpolating the difference of state vector, outputs, and inputs. Some major identification methods, e.g., linearization of the first-principle model, identification of linear local models, and least squares algorithm, are proposed. Several typical nonlinear processes are used to demonstrate the effectiveness of the multiple linear model identification.
- 中文關鍵字: 非線性程序; 建立; 線性模式; 模糊集合
- 英文關鍵字: Nonlinear Process; Identification; Linear Model; Fuzzy Set