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3 cards from this section. Quick, good the night before a test.
What is the total transfer function for two systems in series, G1(s) and G2(s)?
Think about multiplying the transfer functions.
In parallel connections, how do we derive the total transfer function?
This is about adding the functions together.
What do you obtain when two transfer functions are in series?
Remember, 'S for Series, Multiply.'
In a parallel connection, how are the transfer functions combined?
Think about how combined systems work.
You have a system with G1(s) = 10 and G2(s) = 5 in series, and G3(s) in parallel where G3(s) = 2. Calculate G_total(s).
Calculate the series connection first, then add the parallel one.
For a system with G(s) = 3 and feedback H(s) = 1/3, calculate the closed-loop transfer function.
Make sure to plug both values into the feedback formula correctly.
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