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Test: Routh-Hurwitz Stability Criteria - Question 1

The forward transfer function of a ufb system is The system will be

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Test: Routh-Hurwitz Stability Criteria - Question 2

Consider the characteristic equation of a control system given by s^{3} + (K + 0.5)s^{2} + 4Ks + 50 = 0. Find the value of the frequency if the system has sustained oscillations for a given K.

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Test: Routh-Hurwitz Stability Criteria - Question 3

Determine the stability range of k for a feedback control system having characteristic equation -

s^{4} + 2s^{3} + 10s^{2} + (k − 10)s + k = 0

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Test: Routh-Hurwitz Stability Criteria - Question 4

Find the number of poles in the right-half plane (RHP) for the system as shown. Is the system stable?

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Test: Routh-Hurwitz Stability Criteria - Question 5

In the formation of Routh-Hurwitz array for a polynomial, all the elements of a row have zero values. This premature termination of the array indicates the presence of

- a pair of real roots with opposite sign
- complex conjugate roots on the imaginary axis
- a pair of complex conjugate roots with opposite real parts

Which of the above statements are correct?

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Test: Routh-Hurwitz Stability Criteria - Question 6

Which of the following is the correct comment on stability based on unknown k for the feedback system with characteristic s^{4} + 2ks^{3} + s^{2 }+ 5s + 5 = 0?

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Test: Routh-Hurwitz Stability Criteria - Question 7

Which one of the following options correctly describes the locations of the roots of the equation s^{4} + s^{2} + 1 = 0 on the complex plane?

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Test: Routh-Hurwitz Stability Criteria - Question 8

The number of roots of s^{3} + 5s^{2} + 7s + 3 = 0 in the left half of the s-plane is

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Test: Routh-Hurwitz Stability Criteria - Question 9

Consider the characteristic equation of a control system given by s^{3} + (K + 0.5)s^{2} + 4Ks + 50 = 0. Find the value of K for the system to have sustained oscillations.

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Test: Routh-Hurwitz Stability Criteria - Question 10

How many roots of characteristic equation P(s) = s^{4} + s^{3} + 2s^{2} + 2s + 3 have (+)ve real part?

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