# Documentation

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# sgrid

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

## Syntax

`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 ```