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Time-domain approach to quantification of overshoot, speed and robustness

 

作者: R. DORAISWAMI,  

 

期刊: International Journal of Systems Science  (Taylor Available online 1990)
卷期: Volume 21, issue 6  

页码: 1057-1075

 

ISSN:0020-7721

 

年代: 1990

 

DOI:10.1080/00207729008910433

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

Measures of overshoot, speed of response and robustness are derived based on the state transition matrix of the closed-loop system. A measure of overshoot is defined as the maximum value of the weighted norm of the state transition matrix. An exponentially decaying envelope is defined which confines the norm of the state transition matrix. The ratio of the amplitude and decrement factor defining the envelope is shown to be a measure of robustness. Comparison with other measures is given. The importance of the proposed measures is illustrated using numerical examples.

 

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