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8-1 Using block diagram reduction techniques derive the transfer functions given by Equations (8.11) and (8.12). Om(s) V(s) Km S [(Ls + R)(Jms +

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8-1 Using block diagram reduction techniques derive the transfer functions given by Equations (8.11) and (8.12). Om(s) V(s) Km S [(Ls + R)(Jms + Bm) + KKm] (8.11) The transfer function from the load torque Te(s) to Om(s) is given, with V = 0, by (Problem 81) Om(s) Te(s) (Ls + R)/r (8.12) S [(Ls + R)(Jms + Bm) + KKm] V(s) Ia(s) 1 1 Km Jms+Bm Ls+R 1S Om(s) Kb Figure 8.6: Block diagram for a DC motor system. The block diagram represents a third-order system from input voltage V(s) to output position Om(s).

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