Consider the following block diagrams A, B, and C: R(s) R(s) G₁(s) X₂(s) = G₁(s)R(s) G₁(s) G₂(s) G3(s) G₂(s) X₁(s) = R(s)G₁(s) X3(8) = R(S)G3(8) R(S) Input X₁(s) = G₂(s)G₁(s)R(s) X₂(s)-R(s)G₂(8) ± A B E(S) Actuating signal (error) Plant and controller G(s) H(s) C Foodhack Gy(s) C(s)[±G₁ (s) ± G₂(s) ± G3(s)]R(s) C(s) = G3(s)G₂(s)G₁(s)R(s) C(s) Output

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Superposition Theorem

The superposition theorem is applied to linear systems. For such systems, the output from two different inputs equals the sum of the outputs from each input separately. On applying this theorem many times we get the output from any number of inputs equal to the sum of the outputs from the individual inputs separately.