# Nyquist plot with logarithmic amplitudes 1.0

OS : Windows / Linux / Mac OS / BSD / Solaris

Script Licensing : Freeware

Created : Aug 8, 2007

Downloads : 4

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## A polar diagram where the amplitude of the open-loop ...

A polar diagram where the amplitude of the open-loop transfer function h0 is on a logarithmic scale, is presented. This gives a one-size-fits-all diagram with less need for zooming in and out, and no need for additional reasoning about infinite-radius encirclements when there are poles on the imaginary axis -- as opposed to what is often necessary with the standard polar (Nyquist-) diagram.

All properties needed for stability considerations are upheld, such as encirclements, gain and phase margins. The path for s in the loop transfer function is carefully chosen with regard to possible poles on the imaginary axis. Small excursions into the right half plane in the form of arcs of different-sized logarithmic spirals result in corresponding large but finite arcs for h0 that do not overlap in the logarithmic polar plots.

Note: the program at this stage works only for SISO and continuous-time systems.

• Control System Toolbox

All properties needed for stability considerations are upheld, such as encirclements, gain and phase margins. The path for s in the loop transfer function is carefully chosen with regard to possible poles on the imaginary axis. Small excursions into the right half plane in the form of arcs of different-sized logarithmic spirals result in corresponding large but finite arcs for h0 that do not overlap in the logarithmic polar plots.

Note: the program at this stage works only for SISO and continuous-time systems.

**• MATLAB Release: R13**

**Demands:**• Control System Toolbox

**Nyquist plot with logarithmic amplitudes 1.0 scripting tags:**nyquist plot, axis, logarithmic amplitudes, controls systems modeling, arcs, polar, imaginary.

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