Question

Question # 1: R(s) G(s) C K G(s) = \frac{K}{s(s+4)(s+4)} For the unity feedback control system as shown in the above figure, K = 15.2 A. Identify the 4 terms in H(s)G(s) as we did in class. On a semilog graph paper, sketch the magnitude(dB) and phase(degrees) of each term, then sketch the straight-line approximation for the Bode plot of this system. B. Determine the gain and phase margins of the system. C. What is \omega_c(gain cross over frequency) D. What is \omega_{pc}(Phase cross over frequency) E. Is the system stable, why? F. Use Bode plot to find peaktime G. From Bode plot find damping ratio(\zeta) H. Find overshoot I. Use Matlab command bode to verify part(a) J. Use Matlab command margin to verify part(b), (c) and (d) K. From the Bode, plot estimate and sketch the step response of the system.

          Question # 1:
R(s)
G(s)
C
K
G(s) = \frac{K}{s(s+4)(s+4)}
For the unity feedback control system as shown in the above figure, K = 15.2
A. Identify the 4 terms in H(s)G(s) as we did in class. On a semilog graph
paper, sketch the magnitude(dB) and phase(degrees) of each term, then
sketch the straight-line approximation for the Bode plot of this system.
B. Determine the gain and phase margins of the system.
C. What is \omega_c(gain cross over frequency)
D. What is \omega_{pc}(Phase cross over frequency)
E. Is the system stable, why?
F. Use Bode plot to find peaktime
G. From Bode plot find damping ratio(\zeta)
H. Find overshoot
I. Use Matlab command bode to verify part(a)
J. Use Matlab command margin to verify part(b), (c) and (d)
K. From the Bode, plot estimate and sketch the step response of the system.

Question # 1:
R(s)
G(s)
C
K
G(s) = (K)/(s(s+4)(s+4))
For the unity feedback control system as shown in the above figure, K = 15.2
A. Identify the 4 terms in H(s)G(s) as we did in class. On a semilog graph
paper, sketch the magnitude(dB) and phase(degrees) of each term, then
sketch the straight-line approximation for the Bode plot of this system.
B. Determine the gain and phase margins of the system.
C. What is (gain cross over frequency)
D. What is ωpc(Phase cross over frequency)
E. Is the system stable, why?
F. Use Bode plot to find peaktime
G. From Bode plot find damping ratio(ζ)
H. Find overshoot
I. Use Matlab command bode to verify part(a)
J. Use Matlab command margin to verify part(b), (c) and (d)
K. From the Bode, plot estimate and sketch the step response of the system.

Added by Christopher P.

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