- 期刊
- OpenAccess
A Pole-Placement Design for Linear Time-Invariant SISO Feedback Systems
線性非時變單一輸出入回授系統的置極法設計
摘要
基於穩態系統內部所有信號皆可經由主控矩陣列運算後予以消去的事實，本研究針對線性非時變單一輸出入回授系統提出一種改良式的置極法設計。在選定適當的閉迴路極點後，經由Diophantine方程式的求解，設計程序便可很容易和明確地進行。透過取材於現有文獻範例的驗證，本方法充分展現在線性非時變單一輸出入回授系統設計時的便利性與有效性。不同於常用數值趨近設計法，本設計方法完全植基於解析法則與矩陣運算，因此擴展至多變量系統的應用，將是可以實現的。
並列摘要
This paper presents a pole placement method for designing linear time-invariant SISO feedback systems. The idea of this proposed method is based on the fact that the internal signals of a feedback control system can be eliminated by performing row operations on a governing matrix. After choosing proper closed-loop poles, the new design procedure can be implemented by solving a Diophantine equation easily and insightfully. An example extracted from literatures is conducted to validate the effectiveness of the method in the single-input single-output (SISO) cases. Based on the analytical and operator-based design procedure of the proposed method, extending this new approach to the control of linear multi-input multi-output (MIMO) systems is possible.
延伸閱讀
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