A study on linear single-loop feedback systems using geometric vectors

An analysis method based on vector triangle and vector locus is introduced in this paper. By using vector triangles, a set of quantities generally used in feedback theory can be intuitively visualized, which is impossible by using other theories. The vector locus records the evolvement of the vector...

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Bibliographic Details
Published in2014 IEEE International Symposium on Circuits and Systems (ISCAS) pp. 69 - 72
Main Authors Qinfeng Zhang, Fengyi Huang
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2014
Subjects
Bandwidth
circuit analysis
Educational institutions
Equations
Feedback control theory
linear network theory
Mathematical model
Negative feedback
positive feedback
Transfer functions
vector
Vectors
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Summary:An analysis method based on vector triangle and vector locus is introduced in this paper. By using vector triangles, a set of quantities generally used in feedback theory can be intuitively visualized, which is impossible by using other theories. The vector locus records the evolvement of the vector triangle versus frequency in polar coordinates, and combines the magnitude and phase plot together in one track. Examples are given to show that the proposed method gives intuitive insights while still retains a general method to characterize feedback systems.
ISSN:0271-4302
2158-1525
DOI:10.1109/ISCAS.2014.6865067