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Unformatted text preview: Disturbance input Disturbance input T T M M T T D D = T = T L L T M T D T L 1 J L s 2 +B L s θ L + Multi input multi output Systems R 1 + E 1 G 1 C 1 H 1 H 2 G 2 C 2 E 2 + _ R 2 ) To find C 1 / R 1 , assume R 2 = R 1 + E 1 G 1 C 1 H 1 H 2 G 2 1 C 1 / R 1 = G 1 1 + (  G 1 G 2 H 1 H 2 ) By signal flow graph. R 1 1 E 1 G 1 C 1 1 C 1 R 2 1 E 2 G 2 C 2 C 2H 1H 2 1 C 1 / R 1 forward path gain = G 1 loop gain = G 1 G 2 H 1 H 2 C 1 / R 1 = G 1 1  G 1 G 2 H 1 H 2 C 2 / R 1 forward path gain =  G 1 G 2 H 1 loop gain = G 1 G 2 H 1 H 2 2 / R 1 = 1  G 1 G 2 H 1 H 2 G 1 G 2 H 1 Signal flow graph x G Y x Y G Y = XG x 4 = x 3 + x 5 x 1 X 3 1 2 x 21 x 4 1 x 5 x 3 = x 1 + 2x 2 R + E G C H Let us take where E = R  CH & C = GE Equations E = R  CH C = GE Variables R, E, C R E 1 G C H 1 ? Mason’s gain formula (Simplified) Forward path gain = G Loop gain =  GH Forward path gain C/R =  1 loop gain G =  1  (  GH ) Equations Block diagram Signal flow graph Reduction gain formula Transfer Function Δ Δ = ∑ K K P R C In general Δ = [1  ∑ ( loop gains) + ∑ gain products of non touching loops two taken at a time  etc .] Forward path gain(P1) = G 1 G 2 G 3 X 1 1 C 1 G 1 X...
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This note was uploaded on 09/24/2010 for the course EEE AAOC C321 taught by Professor Hariombansal during the Fall '08 term at Birla Institute of Technology & Science, Pilani  Hyderabad.
 Fall '08
 HariOmBansal

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