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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