GATE EE 2022 | Routh Hurwitz Stability Question 2 | Control Systems

The open loop transfer function of a unity gain negative feedback system is given by $$G(s) = {k \over {{s^2} + 4s - 5}}$$. The range of k for which the system is stable, is

k > 3

k < 3

k > 5

k < 5

GATE EE 2017 Set 1

MCQ (Single Correct Answer)

-0.3

A closed loop system has the characteristic equation given by
$${s^3} + K{s^2} + \left( {K + 2} \right)s + 3 = 0.$$ For this system to be stable, which one of the following conditions should be satisfied?

$$0 < K < 0.5$$

$$0.5 < K < 1$$

$$0 < K < 1$$

$$K > 1$$

GATE EE 2014 Set 3

MCQ (Single Correct Answer)

-0.3

A single-input single-output feedback system has forward transfer function $$𝐺(𝑠)$$ and feedback transfer function $$𝐻(𝑠).$$ It is given that $$\left| {G\left( s \right)H\left( s \right)} \right| < 1.$$ Which of the following is true about the stability of the system?

The system is always stable

The system is stable if all zeros of $$𝐺(𝑠)𝐻(𝑠)$$ are in left half of the $$s$$-plane

The system is stable if all poles of $$𝐺(𝑠)𝐻(𝑠)$$ are in left half of the s-plane

It is not possible to say whether or not the system is stable from the information given

GATE EE 2014 Set 1

MCQ (Single Correct Answer)

-0.3

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

only one root at the origin

imaginary roots

only positive real roots

only negative roots

Questions Asked from Marks 1

GATE EE 2022 (1) GATE EE 2017 Set 1 (1) GATE EE 2014 Set 3 (1) GATE EE 2014 Set 1 (1) GATE EE 2009 (1) GATE EE 2007 (1) GATE EE 1998 (1) GATE EE 1995 (1) GATE EE 1994 (2) GATE EE 1992 (1)

GATE EE Subjects

Electromagnetic Fields

Signals and Systems

Engineering Mathematics

General Aptitude

Power Electronics

Power System Analysis

Analog Electronics

Control Systems

Digital Electronics

Electrical Machines

Electric Circuits

Electrical and Electronics Measurement