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

`sgrid `

sgrid(z,wn)

`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.

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

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

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

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