MIMO Robustness Analysis Using Genetic Algorithms

基因演算法應用於多變數控制系統強鍵性分析之研究

林穎志(Ying-Chih Lin)

《致遠管理學院學報》 2_3期 (2007/09) Pp. 1-13

https://doi.org/10.6595/BDCM.2007.2(3).1

摘要

增益邊限與相位邊限被廣泛用來量測單一變數控制系統相對穩定性，並作為分析控制系統強鍵性之重要指標。然而對於多變數控制系統，增益邊限與相位邊限不再像是單一變數控制系統一般那麼清楚的概念，文獻大多集中於多變數控制系統增益邊限的探討，對於多變數控制系統相位邊限的探討也只限於連續時間系統。本文提出嶄新的概念，以基因演算法作為量測多變數控制系統增益邊限與相位邊限的工具，求取的結果將與文獻的結果作一比較以驗證其正確性。

關鍵字

多變數增益邊限 ； 多變數相位邊限 ； 基因演算法

並列摘要

A new and proposing approach to robustness analysis in discrete-time MIMO control systems is developed by using the closed-loop characteristic equation in the presence of gain or phase perturbation. Genetic algorithms are proposed as the search algorithm for determining the smallest destabilizing perturbation in the form of MIMO gain or phase margin. This technique is computationally more burdensome than the calculus-based technique. However, it can deal with digital control systems, which include time delays, in the exact manner.

並列關鍵字

MIMO gain margin ； MIMO phase margin ； genetic algorithms

參考文獻

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