GATE ECE 2013 | Stability Question 20 | Control Systems

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GATE ECE 2013

MCQ (Single Correct Answer)

-0.3

Which one of the following statements is NOT TRUE for a continuous time causal and stable LTI system?

All the poles of the system must lie on the left side of the jω axis

Zeros of the system can lie anywhere in the s-plane

All the poles must lie within $$\left|s\right|\;=\;1$$

All the roots of the characteristic equation must be located on the left side of the jω axis

GATE ECE 2000

MCQ (Single Correct Answer)

-0.3

A system described by the transfer function $$$H\left(s\right)=\frac1{s^3+\alpha s^2+ks+3}$$$ is stable. The constraints on $$\alpha$$ and k are,

$$\alpha>0,\;\alpha k<3$$

$$\alpha>0,\;\alpha k\;>\;3$$

$$\alpha\;<\;0,\;\alpha k\;>\;3$$

$$\alpha\;>\;0,\;\alpha k\;<\;3$$

GATE ECE 2000

MCQ (Single Correct Answer)

-0.3

An amplifier with resistive negative feedback has two left half-plane poles in its open-loop transfer function. The amplifier

will always be unstable at high frequencies

will be stable for all frequencies

may be unstable, depending on the feedback factor

will oscillate at low frequencies

GATE ECE 1998

MCQ (Single Correct Answer)

-0.3

The open loop transfer function of a unity feedback open-loop system is $$\frac{2s^2+6s+5}{\left(s+1\right)^2\left(s+2\right)}$$. The characteristic equation of the closed loop system is

$$2s^2+6s+5=0$$

$$\left(s+1\right)^2\left(s+2\right)=0$$

$$2s^2+6s+5+\left(s+1\right)^2\left(s+2\right)=0$$

$$2s^2+6s+5-\left(s+1\right)^2\left(s+2\right)=0$$

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Time Response Analysis Signal Flow Graph and Block Diagram State Space Analysis Basic of Control Systems Compensators Root Locus Diagram Stability Frequency Response Analysis

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