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My class was asked to implement in MATLAB, a controller for an RC filter configuration with output response:

4/(s+3)

The controller should give an output response whose steady state is 1 to unit step input.

Here's what I think:

  1. The gain and time constant are 4/3 and 1/3 respectively.

  2. I just need to make the gain unity.

  3. This can easily be achieved by multiplying the original output response by 3/4.

  4. If I was using block diagram representation I'd assume the original output signal would pass through a controller block with value 3/4.

Assuming what I think is correct, I don't even know where to start with the MATLAB implementation. I just need a nudge in the right direction.

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