# matlab rlocus

#### Matlab rlocus Command

The `rlocus`

command in MATLAB is used to plot the root locus of a transfer function. The root locus is a graphical representation of the possible locations of the system's poles as a parameter (usually a gain) is varied. It is a useful tool for analyzing the stability and transient response of a control system.

To use the `rlocus`

command in MATLAB, you need to provide the transfer function as an input argument. Here is the syntax:

```
rlocus(G)
```

Where `G`

is the transfer function of the system. You can define the transfer function using the `tf`

command or by specifying the numerator and denominator coefficients directly.

Here is an example of using the `rlocus`

command:

```
num = [1];
den = [1 2 1];
G = tf(num, den);
rlocus(G)
```

This will plot the root locus of the transfer function `G = 1/(s^2 + 2s + 1)`

.

You can also specify additional options to customize the plot, such as the range of the parameter values, the color of the lines, and the plot title. For more information on the available options, you can refer to the MATLAB documentation on the `rlocus`

command.

Please let me know if you need further assistance!