Process Control and Instrumentation
If response of a control system is to be free of offset and oscillation, the most suitable controller is

Proportional-integral (PI) controller
Proportional controller
Proportional integral-derivative (PID) controller
Proportional-derivative(PD)controller

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Process Control and Instrumentation
In a second order under damped system, the

Decay ratio (which is the ratio of the sizes of successive peaks) is equal to the reciprocal of overshoot
None of these
Time required for the response of first reach its ultimate value is called the response time
Overshoot (which is a measure of how much the response exceeds the ultimate value) increase with the decrease of damping co-efficient e

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Process Control and Instrumentation
Routh test

Criterion provides information about the actual location of roots
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

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