The Study of Transients in Linear Feedback System by Conformal Mapping and the Root-Locus Method
- 1 April 1954
- journal article
- research article
- Published by ASME International in Transactions of the American Society of Mechanical Engineers
- Vol. 76 (3) , 349-359
- https://doi.org/10.1115/1.4014847
Abstract
The correlation between frequency and transient analysis of linear feedback systems, either degenerative or regenerative, through conformal mapping is pointed out. The root locus is a special case of the conformal mapping obtained by transforming the real axis of the inverse Y(s)-plane onto the s-plane. A method for deriving the equations of root loci is presented, and the basic shapes of root loci are shown. The shifting and reshaping of root locus by means of controller adjustments are discussed.Keywords
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