For a system with block diagram shown in Figure 3 where S ?1(s) = S+ 10 1 ? 2($)= 3s+2 ?(s) = 2(s +90) (a) Obtain the expression of close-loop transfer function and write it in standard form, identify time constant(s) and gain constant of the system; (b) Obtain the expression of open-loop transfer function; (c) Obtain the expression of amplitude ratio AR, and Phase angle ; (d) Calculate all of the corner frequencies; (e) Manually sketch the asymptotic straightline approximation for Bode magnitude diagram on a semi-log graph paper (page 6). R(s) + Σ C(s) ?1(s) ?2($) ?(s) Figure 3

Elements Of Electromagnetics
7th Edition
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Publisher:Sadiku, Matthew N. O.
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For a system with block diagram shown in Figure 3 where
S
?1(s) =
S+ 10
1
? 2($)=
3s+2
?(s) = 2(s +90)
(a) Obtain the expression of close-loop transfer function and write it in standard form, identify time
constant(s) and gain constant of the system;
(b) Obtain the expression of open-loop transfer function;
(c) Obtain the expression of amplitude ratio AR, and Phase angle ;
(d) Calculate all of the corner frequencies;
(e) Manually sketch the asymptotic straightline approximation for Bode magnitude diagram on a semi-log
graph paper (page 6).
R(s) +
Σ
C(s)
?1(s)
?2($)
?(s)
Figure 3
Transcribed Image Text:For a system with block diagram shown in Figure 3 where S ?1(s) = S+ 10 1 ? 2($)= 3s+2 ?(s) = 2(s +90) (a) Obtain the expression of close-loop transfer function and write it in standard form, identify time constant(s) and gain constant of the system; (b) Obtain the expression of open-loop transfer function; (c) Obtain the expression of amplitude ratio AR, and Phase angle ; (d) Calculate all of the corner frequencies; (e) Manually sketch the asymptotic straightline approximation for Bode magnitude diagram on a semi-log graph paper (page 6). R(s) + Σ C(s) ?1(s) ?2($) ?(s) Figure 3
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