To discretize a transfer function in Matlab, you can use the built-in function `c2d`

. This function converts a continuous-time transfer function to a discrete-time transfer function using various numerical methods.

The syntax for `c2d`

is:

main.m31 chars2 lines

where `sys_c`

is the continuous-time transfer function, `Ts`

is the sampling time, and `method`

is the discretization method.

Here's an example code that discretizes a continuous-time transfer function using `c2d`

:

main.m147 chars7 lines

In this example, we define a continuous-time transfer function with numerator `1`

and denominator `s^2+2s+2`

. We choose a sampling time of `0.1`

seconds and use the zero-order hold method for discretization. The resulting discrete-time transfer function `sys_d`

is stored as a variable.

You can choose different discretization methods such as first-order hold (`foh`

), backward difference (`tustin`

), or a custom method using a state-space model. The method you choose depends on the system dynamics and the sampling rate.

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