For many chemical and biological processes, the steady-state gain changes when a process operating condition such as

Question:

For many chemical and biological processes, the steady-state gain changes when a process operating condition such as throughput changes. Consider a biomedical application where a drug flow rate is used to control blood pressure. The steady-state gain Kp varies with the manipulated variable u according to the relation,where u > 0 and a and b are constants that have been determined by fitting steady-state data. Suggest a modification (or the standard PID controller to account for this variation in the process gain. Justify your answer, (In the above equation, u is not a deviationvariable).