Fall 2001 16.313-5 To form the composite sketch Arrange representation of transfer function so that dC gain of each element is unity(except for parts that have poles or zeros lt the origin)-absorb the gain into the overall plant gain Draw all component sketches Start at low frequency(DC) with the component that has the lowest frequency pole or zero (i.e. s-=0) Use this component to draw the sketch up to the frequency of the next pole/zero Change the slope of the sketch at this point to account for the new dynamics:-1 for pole, +1 for zero, -2 for double poles Scale by overall dC gain 0° Figure 1: G(s)=10(s+1)/(s+10) which is a"leadFall 2001 16.31 3–5 To form the composite sketch, – Arrange representation of transfer function so that DC gain of each element is unity (except for parts that have poles or zeros at the origin) – absorb the gain into the overall plant gain. – Draw all component sketches – Start at low frequency (DC) with the component that has the lowest frequency pole or zero (i.e. s=0) – Use this component to draw the sketch up to the frequency of the next pole/zero. – Change the slope of the sketch at this point to account for the new dynamics: -1 for pole, +1 for zero, -2 for double poles, . . . – Scale by overall DC gain 10−2 10−1 100 101 102 103 10−1 100 101 102 Freq |G| Figure 1: G(s) = 10(s + 1)/(s + 10) which is a “lead