Q1:

In a Bode magnitude plot, which one of the following slopes would be exhibited at high frequency by a 4^th order all pole system ?

Q2:

For the system shown here find K value such that the system will have oscillation in response.

Q3:

Find centroid of the system whose characteristic eqⁿ. is given as:

s³ + 5 s² + (k + 6) s + k = 0

Q4:

Find the angle of asymptotes of a system whose characteristic equation is

s(s + 4) (s² + 2s + 1) + K (s + 1) = 0

Q5:

Plot root locus for the system shown below.

Q6:

The transfer function of a unity feedback system is $G(s)=\frac{k}{s(s+2)}$, the centroid and breakaway point respectively are:

Q7:

By adding an open loop pole to system, root locus shift towards ……… axis and stability of the system …………….. .

Q8:

Which of the valid root locus

Q9:

The LTI system characteristic equation in negative unity feedback configuration is given by C. E = s⁴ + 2s² + 3 = 0. The no. of poles located on $j\omega$ axis is _______.

Q10:

For stable closed loop system gain margin should be ____ and phase margin should be-

Q11:

Consider the following statements:

1. Adding a zero to the G(s)H(s) tends to push root locus to the left.

2. Adding a pole to the G(s)H(s) tends to push root locus to the right.

3. Complementary root locus (CRL) refers to root loci with positive K.

4. Adding a zero to the forward path transfer function reduces the maximum overshoot of the system.

Which of the above statements are correct?

Q12:

Adding zero to a system what will be effect on its root locus

Q13:

The open loop transfer function of a feedback system has m poles and n zeros(m > n).

Consider the following statements:

1. The number of separate root loci is m.

2. The number of separate loci is n.

3. The number of root loci approaching infinity is (m – n).

4. The number of root loci approaching infinity is (m + n).

Which of the statements given above are correct?

Q14:

Consider the following statements made on the basis or root locus analysis:

1. The intersection of asymptotes must asymptotes must always be on the real axis.

2. The asymptotes of root loci refer to the angle of root loci when gain K is zero.

Which of the statements given above is/are correct?

Q15:

In the root locus plot shown in the figure, the pole/zero marks and the arrows have been removed. Which one of the following transfer functions has this root locus?