The Numerically Compensated Method and Its Application on Digital Controllers

數值補償法與其在數位控制器之應用

陳春明(Chuen-Ming Chen) ； 蔡宗岳(Tzung-Yue Tsai)

《萬能學報》 42期 (2020/07) Pp. 200-207

摘要

In this note, a newly numerical method is proposed to convert the analog controller to its corresponding counterpart of digital controller. The tradition method is modified by a compensated technique, so the proposed approach is more accurate in digitally system performance. Furthermore, the analysis of system stability is investigated, and the mapping transformation is also given to analyze the newly generated model. This new method will show its adjustable characteristics. An illustrated example is simulated on a real system via the developed technique, it obtains very reasonable results.

關鍵字

numerical method ； stability ； digital controller

並列摘要

在本短文中，提出一個新的數值方法，可將類比控制器轉換成一致性對等的數位控制器。傳統上所採用的方法藉由一種補償技巧，使得這種所提出的方法在數位系統實現上，更為精確。同時，探討了系統穩定度的分析，對新產生的模式也探究映射轉換。此一方法會呈現可調變的特性，利用所發展出的技巧，對實際系統之實例模擬，可獲得十分合理的結果。

並列關鍵字

數值方法 ； 穩定度 ； 數位控制器

參考文獻

Chen, C. F. and L. S. Shieh (1970) An algebraic method for control systems design. Int. J. Control, 11, 5, 717-739.

Chen, Chi-Tsong (1993) Analog and Digital Control System Design: Transferfunction, State-space, and Algebraic Method. Saunders college publishers, International edition..

Franklin, Gene F. , J. David Powell, Michael L. Workman (1990). Digital Control of Dynamic Systems, Addison-Wesley Publishing Company, Inc.

Kuo, B. C.(1980). Digital Control Systems.New York: Holt, Rinehart and Winston.

Veloni A. and N. I. Miridakis, (2018). Digital Control Systems –Theoretical Problems and Simulation Tools, CRC Press, Taylor & Franics Groug, New York.