Discover the Transfer Functions of Block Diagrams for Optimal Performance

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The discussion focuses on deriving transfer functions from specific block diagrams for optimal performance analysis. The transfer functions provided include: a) K(s+a)/(s+1) leading to 1/s(s+2)(s+3), b) 4+(40/s) resulting in s^2/(s+100)(4s^2+5s+4), and c) a+(B/s) yielding 1/(s+1). The key takeaway is that cascaded transfer functions can be effectively combined through multiplication to achieve the desired system response.

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kwbake01
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How do I get the transfer functions of the following block diagrams

a) [K(s+a)/(s+1)]--->[1/s(s+2)(s+3)]
...BLOCK 1....BLOCK 2

b) [4+(40/s)]--->[s^2/(s+100)(4s^2+5s+4)]
...BLOCK 1.....BLOCK 2

c) [a+(B/s)]---->[1/(s+1)]
...BLOCK 1...BLOCK 2
 
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Cascaded transfer functions can be combined through multiplication.
 

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