discretize a transfer function in matlab

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.m
sys_d = c2d(sys_c, Ts, method)
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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.m
num = [1];
den = [1 2 2];
sys_c = tf(num, den);
Ts = 0.1; % sampling time
method = 'zoh'; % zero-order hold method
sys_d = c2d(sys_c, Ts, method);
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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.