Can you solve this problem ?
For a well known first order system with its parameters KP = 0.8 and tP = 4 [s] is being manipulated by an actuator having KA = 0.6 and tA = 0.1 [s] values. A measurement device having a dead time θ = 10 [s] with its gain KM = 1.8 is being used to get necessary measurements from the process;
1) Check the process stability itself by using Bode plot,
2) Find the KCU, wC values for the system given above by using OLTF and Bode plot,
3) Find the PID controller parameters {KC, tI , tD } by using;
i) Tyreus_Luyben tuning method,
ii) GM-PM criteria.
4) Reduce the overall system transfer function to a first order transfer function with deadtime by using step response technique,
i) Use one of well known Integral Performance Criteria to find PID controller parameters and compare your results with the ones above.
ii) Check the overall system stability by using Nyquist plot.
iii) Examine Robustness & Performance of the system, find the optimum values of the filter parameters to get required robustness and performance {GF=1/(tfS+1)n }.