Tuning PID Controller for Three Interacting Tanks Using ITAE Performance Criterion

In liquid-level process control, tanks can be arranged in arrangements of interacting and non-interacting systems. With the basic principle of conservation of mass mathematical modelling of these arrangements are formulated. Three different cases of these systems have been considered. The head in third tank is variable which is controlled by the input flow rate of the first tank. In Simulink, response of each of these arrangements is studied using proportional–integral–derivative (PID) controller. MATLAB optimization toolbox is used for controller tuning. Integral of time-weighted absolute error (ITAE) performance index is carried out in this work for PID controller tuning. Process performances are compared on the basis of rise time, settling time and overshoot for all the three cases.