In a block diagram configuration containing forward paths G(s) and feedback path H(s) with an inner positive feedback loop around G(s) and an outer negative feedback loop, if the total output is expressed as Y(s) = G1(s)R(s) + G2(s)D(s), then the transfer functions G1(s) and G2(s) are given by:

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Physics · Control Systems

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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G1(s) = G(s)1 + G(s) + G(s)H(s) and G2(s) = G(s)1 + G(s) + G(s)H(s)

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Answer 1

G1(s) = G(s)1 + G(s) + G(s)H(s) and G2(s) = G(s)1 + G(s) + G(s)H(s)

Answer 2

G1(s) = G(s)1 + G(s) + H(s) and G2(s) = G(s)1 + G(s) + H(s)

Answer 3

G1(s) = G(s)1 + G(s) + H(s) and G2(s) = G(s)1 + G(s) + G(s)H(s)

Answer 4

G1(s) = G(s)1 + G(s) + G(s)H(s) and G2(s) = G(s)1 + G(s) + H(s)

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