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Root locus

Date post: 08-Nov-2014
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Root locus software
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ROOTLOCS Program Description ROOTLOCS is a free, easy-to-use program for plotting root locus diagrams of single- input-single-output feedback control loops (both continuous and sampled-data types). Given a system’s open loop transfer function, ROOTLOCS plots the loci of the system’s closed loop poles as the loop gain parameter is increased indefinitely, starting from 0. The program can accommodate systems with up to 40 singularities (up to 20 poles and up to 20 zeros) and is able to handle loops with either positive or negative feedback sign, as also loops with time delay. When it has plotted the root locus diagram, ROOTLOCS allows the user to add, delete and reposition singularities in a graphical way, whereupon the plot is automatically updated. Furthermore, tools built into the program enable the user to obtain the time response and the frequency response of the closed loop system for any value of gain by simply clicking on the locus at a point corresponding to that gain. ROOTLOCS is a fast and powerful tool that should prove of value to students of control engineering and practising engineers alike. Step-by-step guidance on how to use the program is provided in the form of a built-in 'Help Book', however, in order to use the program effectively, newcomers to the root locus method are advised to acquire at least a rudimentary knowledge of the ideas that underly it by consulting any good text book on classical control. More in-depth documentation of the program is available as a separately downloadable document at http://www.coppice.myzen.co.uk/ Screenshots Input Window Root Locus Plot
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Page 1: Root locus

ROOTLOCS

Program DescriptionROOTLOCS is a free, easy-to-use program for plotting root locus diagrams of single-input-single-output feedback control loops (both continuous and sampled-data types).Given a system’s open loop transfer function, ROOTLOCS plots the loci of the system’sclosed loop poles as the loop gain parameter is increased indefinitely, starting from 0.

The program can accommodate systems with up to 40 singularities (up to 20 poles and upto 20 zeros) and is able to handle loops with either positive or negative feedback sign, asalso loops with time delay.

When it has plotted the root locus diagram, ROOTLOCS allows the user to add, delete andreposition singularities in a graphical way, whereupon the plot is automatically updated.Furthermore, tools built into the program enable the user to obtain the time response andthe frequency response of the closed loop system for any value of gain by simply clickingon the locus at a point corresponding to that gain.

ROOTLOCS is a fast and powerful tool that should prove of value to students of controlengineering and practising engineers alike. Step-by-step guidance on how to use theprogram is provided in the form of a built-in 'Help Book', however, in order to use theprogram effectively, newcomers to the root locus method are advised to acquire at least arudimentary knowledge of the ideas that underly it by consulting any good text book onclassical control.

More in-depth documentation of the program is available as a separately downloadabledocument at http://www.coppice.myzen.co.uk/

Screenshots

Input Window Root Locus Plot

Page 2: Root locus

Transient Response Plot Frequency Response Plot

Help Book

Program Versions and System RequirementsROOTLOCS is available in a Macintosh and a PC version. The Mac version of theprogram should work on any computer running Mac OS X 10.0 or higher. The PC versionshould work on any machine running Windows 2000 or later.


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