Analytical Representation of the Root-Locus

[+] Author and Article Information
Charles K. Wojcik

Institute of Transportation and Traffic Engineering, University of California, Los Angeles, Calif.

J. Basic Eng 86(1), 37-42 (Mar 01, 1964) (6 pages) doi:10.1115/1.3653109 History: Received June 15, 1961; Online November 03, 2011


A technique for analytical representation of the root-locus is developed in this paper for both negative and positive feedback. With the help of the derived general equation for the root-locus, such items as intersection of the asymptotes, break-away points, and intersection of loci with imaginary axis are investigated and defined. Simple examples of possible applications are given. Finally, a number of selected root-loci and their equations are shown.

Copyright © 1964 by ASME
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