A New Approach to the Pole-Placement Design of Digital Control Systems

數位控制系統極點安置設計之新方法

柯德祥(Dershyang Ker)

《中華技術學院學報》 30期 (2004/06) Pp. 137-144

https://doi.org/10.7095/JCIT.200406.0137

摘要

本文提出一新方法於設計數位控制系統之極點安置演算法則，利用VisSim爲系統發展環境，以數學方塊圖模式設計開發數位控制系統之極點安置演算法則。首先以一數位控制系統爲例，推導極點安置演算法則，求得狀態回授之適當增益矩陣理論值：另外以VisSim爲系統發展環境，利用成本函數計算響應誤差的最小值，無需理論推導，即可得到狀態回授之增益矩陣模擬值，並與理論值作比對，驗證其正確性。

關鍵字

數位控制系統 ； 極點安置 ； 狀態回授

並列摘要

The goal of this paper is to present a new approach to the pole-placement algorithm in digital control systems by using mathematic model blocks in VisSim software package environment. A digital design example, satellite attitude control system, based on the pole-placement algorithm is given. The theoretical state feedback controller can be obtained. An alternative approach using VisSim to automatically calculate the digital state feedback controller has been verified to be a very powerful method to avoid tedious theoretical design. The digital pole-placement controller can be easily obtained without the theoretical design. The satisfied results are shown in this paper.

並列關鍵字

Digital Control System ； Pole Placement ； State Feedback