The loop gain of an elementary feedback control system (see Figure 3.4.12) is given by G(s)·H (s), which is 10/(1+s/2)(1+s/6)(1+s/50). Sketch the asymptotic Bode plot of the loop-gain function. Gain margin (GM) is defined by [−20 log |G(ω – π ) H (ω – π )|], which is the negative of the magnitude of the loop gain at ω = ωπ , ωπ represents the angular frequency at which the loop gain reaches a phase of – π. If ωu represents the value of ω where the loop gain has a magnitude of unity, then phase margin (PM) is defined by the phase of the loop gain at ω = ωu plus π. Evaluate GM and PM for this case from the asymptotic Bode plot.
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