Process Control and Instrumentation
Suppose that the gain, time constant and dead time of a process with the following transfer function:Gc(s) = 10 exp( - 0.1s)/(0.5s + 1) are known with a possible error of ± 20% of their values. The largest permissible gain Kc of a proportional controller needs to be calculated below taking the values of process gain, time constant and dead time as

8, 0.6, 0.08
8, 0.6, 0.12
12, 0.4, 0.08
12, 0.6, 0.12

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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

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

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