# Documentation

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# sgrid

Generate s-plane grid of constant damping factors and natural frequencies

sgrid
sgrid(z,wn)

## Description

sgrid generates, for pole-zero and root locus plots, a grid of constant damping factors from zero to one in steps of 0.1 and natural frequencies from zero to 10 rad/sec in steps of one rad/sec, and plots the grid over the current axis. If the current axis contains a continuous s-plane root locus diagram or pole-zero map, sgrid draws the grid over the plot.

sgrid(z,wn) plots a grid of constant damping factor and natural frequency lines for the damping factors and natural frequencies in the vectors z and wn, respectively. If the current axis contains a continuous s-plane root locus diagram or pole-zero map, sgrid(z,wn) draws the grid over the plot.

Alternatively, you can select Grid from the right-click menu to generate the same s-plane grid.

## Examples

Plot s-plane grid lines on the root locus for the following system.

$H\left(s\right)=\frac{2{s}^{2}+5s+1}{{s}^{2}+2s+3}$

You can do this by typing

H = tf([2 5 1],[1 2 3])
Transfer function:
2 s^2 + 5 s + 1
---------------
s^2 + 2 s + 3
rlocus(H)
sgrid