To prove: The sensitivity to plant is S T:P = P T δ T δ P = 1 1 + L ( s ) , and T ( s ) = C ( s ) R ( s ) = F ( s ) H ( s ) ⋅ L ( s ) 1 + L ( s ) .

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Chapter 7, Problem 51P

a.

To determine

To prove: The sensitivity to plant is ST:P=PTδTδP=11+L(s) , and T(s)=C(s)R(s)=F(s)H(s)⋅L(s)1+L(s) .

b.

To determine

To prove: The relation ST:P(s)+T(s)H(s)F(s)=1 .

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