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

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
Roots of the characteristic equation should be real
Bode plots of the corresponding open loop transfer function should monotoni-cally decrease

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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

Unstable response
Undamped response
Underdamped response
Overdamped response

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