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

Bode plots of the corresponding open loop transfer function should monotoni-cally decrease
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

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

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