Process Control and Instrumentation
For a feed back control system to be stable, the

Roots of the characteristic equation should be real
Bode plots of the corresponding open loop transfer function should monotoni-cally decrease
Poles of the closed loop transfer function should lie in the right half of the complex plane
Poles of the closed loop transfer function should lie in the left half of the complex plane

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Process Control and Instrumentation
Select the correct statement from the following.

The frequency response of a pure capacity process is unbounded
The amplitude ratio of a pure capacity process is inversely proportional to frequency
The phase lag of a pure time delay system decreases with increasing frequency
The amplitude ratio of a pure time delay system increases with frequency

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Process Control and Instrumentation
Routh test

Can not determine as to how many roots of the characteristics equation have positive real roots
Criterion is not applicable to systems with polynomial characteristic equation
Cannot be used to test the stability of a control system containing transportation lag
Criterion provides information about the actual location of roots

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