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Stability Starter Quiz

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Question 1

The Routh – Hurwitz array is given for a third order characteristic equation as follows

The values of a, b, c, d are respectively, for which the system should be marginally stable

Question 2

Consider the following statements about Routh-Hurwitz criterion:
If all the elements in one row of Routh array are zero, then there are
1) Pairs of conjugate roots on imaginary axis.
2) Pairs of equal real roots with opposite sign.
3) Conjugate roots forming a quadrate in the s-plane.

Question 3

Which of the following techniques are used to determine relative stability of a closed loop linear system?
1) Bode plot
2) Nyquist plot
3) Nichol’s chart
4) Routh-Hurwitz criterion

Question 4

Which of the following is a powerful frequency. domain method of extracting the information regarding stability as well as relative stability of a system without the need to evaluate roots of the characteristic equation ?

Question 5

The method for determination of the stability of the feedback systems as a function of an adjustable gain parameter which does not provide detailed information concerning location of closed-loop poles as a function of gain K is called

Question 6

The conditions of system stability as per Routh array is:


i. c3 to be positive
ii. c3 to be negative
iii. b3 to be positive
iv. b3 to be negative

Question 7Multiple Correct Options

Consider Routh Hurwitz’s array

where a, b, c, d are unknown for third order characteristic equation, then which of the following option is/are correct?

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Nov 4ESE & GATE EE