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

Undamped response
Unstable response
Overdamped response
Underdamped response

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Process Control and Instrumentation
The characteristic equation for the control system with a closed loop transfer function G₁/1 + G₂ is given by 1 + G₂ = 0. The characteristic equation for the control system

Is the same for set point or load changes
All of these
Depends only upon the open loop transfer function
Determines its stability

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