Routh Hurwitz criterion cannot be applied when the characteristic equation of the system containing coefficient’s which is/are

The Routh-Hurwitz criterion cannot be applied when the characteristic equation of the system contains any coefficients which is :

A

Negative real and exponential function

B

Negative real, both exponential and sinusoidal function of s

C

Both exponential and sinusoidal function of s

D

Complex, both exponential and sinusoidal function of s

Consider the following statements with respect to Routh-Hurwitz criterion: 1. It can be used to determine relative stability 2. It is valid only for real coefficients of the characteristic equation. 3. It is applicable only for non-linear systems. 4. It does not provide the exact location of closed-loop poles in left or right-half of s-plane Which of the above statements are correct?

A

1, 2 and 3 only

B

3 and 4 only

C

1, 2 and 4 only

D

1, 2, 3 and 4

The first element of each of the rows of the Routh-Hurwitz stability test showed the signs as follows: Row I II III IV V Sign + - - + - Consider the following statements: 1. The system has three roots in the right-half of s-plane. 2. The system has three roots in the left-half of s-plane. 3. The system is stable. 4. The system is unstable. Which of the above statements about the system are correct?

A

1 and 3

B

1 and 4

C

2 and 3

D

2 and 4

Which of the following is NOT the advantage of Routh-Hurwitz criterion of control systems?

A

By this method, we can also determine the point of intersection for root locus with an imaginary axis.

B

By this method, we can determine the range of K for stability.

C

We can easily determine the relative stability of the system

D

The criterion is applicable for both linear and non-linear system.

Consider the following statements: Routh-Hurwitz criterion gives A. Absolute stability B. The number of roots lying on the right half of the s-plane. C. The gain margin and phase margin. Which of these statement are correct?

A

All three

B

Only A and B

C

Only B and C

D

Only A and C

Routh Hurwitz criterion gives:

A

Number of roots in the right half of the s-plane

B

Value of the roots

C

Number of roots in the left half of the s-plane

D

Number of roots in the top half of the s-plane

Consider the following statement regarding Routh Hurwitz criterion:

A

It gives absolute stability

B

It gives gain and phase margin

C

It gives the number of roots lying in RHS of the s-plane

D

It gives gain, phase margin and number of roots lying in RHS of the s-plane

Routh Hurwitz criterion is better than root locus.

A

True

B

False

Consider the following statements: Routh-Hurwitz criterion gives: 1. Absolute stability 2. The number of roots lying on the right half of the s-plane 3. The gain margin and the phase margin

A

1,2 and3

B

1 and 2

C

2 and 3

D

1 and 3

Liapunov’s stability for non-linear system is same as the Routh Hurwitz criteria for the linear system.

A

True

B

False

Routh Hurwitz criterion cannot be applied when the characteristic equation of the system containing coefficient’s which is/are

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