More Questions from Bode Plot

Dear Students while preparing  notes   solve these questions for your reference

Q1.  Sketch the bode plot and find the stability of the system for the following functions:

1. G(s) = 50/(s+1)(s+2)
2. G(s) = 50/[s^2(s+1)(s+2)]

Q2. Define the following:  (i)  Bode Plot,  (ii) Gain Marging ,(iii) Phase margin

,    (iv) Gain cross over frequency and (v) Phase cross over frequency
Q 3. What is the requirement of gain margin and phase margin for a system to be stable/unstable /            marginally stable?

Q4.  What information you get from Bode's plot.

Q5.  State advantages of Bode Plot
Q6 . Determine the angle and magnitude  of  G(s)H(s) = s(s+1)/[(s+1)(s+2)  at s =j5.
Q7. Determine the open loop transfer function from the bode plot shown below

Q8:  Determine the value of K for the open loop transfer function  G(s)H(s)= K/[s(1+0.1s)(1+s)] so that (a) the gain margin is 15 db and (b) phase margin is 60 degree.

Q9. Draw the Bode plot  for the transfer function  G(s)H(s) = 48(s+10)/[s(s+20)(s^2+2.4s+16)

Q10   Sketch the Bode plot for the transfer function  G(s)H(s)= 1000/[s(1+0.1s)(1+0.001s)]

        Determine (a) Gain cross over frequency

                         (b)   Phase Cross over frequency

                          (c)   G.M and P.M.

                         (d)  stability of the given system