ystem h Example 8.6.2 Design a phase lead loop transfer function given below such that the system will have accelera coefficient K = 100 sec and suitable phase margin for stable operation G(s)H(s) = K $² (1+0.05s)

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5.5)
The open-loop transfer function of the compensated system is
10
G'(s) = G(s) G(s) =
(1 + 0.18s)
(1+0.072s) s(1+0.2s)
The Bode plot for the compensated system is shown in Fig. 8.6.1 and the p
of the compensated system is 50⁰.
Example 8.6.2 Design a phase lead compensation network for a system ha
loop transfer function given below such that the system will have accelerat
coefficient K = 100 sec and suitable phase margin for stable operation
Solution.
G(s)H(s) =
K
s² (1+0.05s)
Ans.
K₁=lim s²G(s)H(s) = lim s²
s 0
K = K = 100
The open-loop transfer function is thus
100
K
s 0 s² (1+0.05s)
-=K
(b
whene
prefers
net
ne
Transcribed Image Text:5.5) The open-loop transfer function of the compensated system is 10 G'(s) = G(s) G(s) = (1 + 0.18s) (1+0.072s) s(1+0.2s) The Bode plot for the compensated system is shown in Fig. 8.6.1 and the p of the compensated system is 50⁰. Example 8.6.2 Design a phase lead compensation network for a system ha loop transfer function given below such that the system will have accelerat coefficient K = 100 sec and suitable phase margin for stable operation Solution. G(s)H(s) = K s² (1+0.05s) Ans. K₁=lim s²G(s)H(s) = lim s² s 0 K = K = 100 The open-loop transfer function is thus 100 K s 0 s² (1+0.05s) -=K (b whene prefers net ne
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