Process Control and Instrumentation
The unit step response of the transfer function 1/(s² + 2s + 3)

Is overdamped
Has a damped oscillatory characteristics
Has a non-zero slope at the origin
Is unstable

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Process Control and Instrumentation
In a closed loop system, the process to be controlled is an integrating process with transfer function l/2s. The controller proposed to be used in an integral controller with transfer function 1/T₁s. When a step change in set point is applied to such a closed loop system, the controlled variable will exhibit

Underdamped response
Overdamped response
Undamped response
Unstable response

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