Aprocess is known to have the following input-output transfer function
=k(−+1)/(++1) in the process of tuning a p-only feedback controller for this process, the operator discovers a steady-state offset of 2/5 for a unit setpoint change, when the proportional gain is 1. (you may assume that the measurement and actuator transfer functions have been lumped into .) she also finds that the closed-loop system becomes unstable when the proportional gain is greater than 2. 5. [15 pts] a process is known to have the following input-output transfer function:
a. what is the value of the process gain, k?
b. what is the value of the numerator time constant, r?
c. what type of instability occurs when the proportional gain is 2? that is, does the closed-loop system oscillate owing to simultaneous crossing of two complex poles across the imaginary axis? or does a single real pole cross the imaginary axis?