Analytical Study of Intelligent controller with different objective function to control a complex non-linear system

Complex non-linear systems require a highly efficient controller to work in desired manner. Though conventional Proportional-Integral-Derivative (PID) works well and easy to design but for real time application as the dynamics of the plant changes, PID performance gets deteriorate. Inclusion of intelligent techniques like fuzzy system enhances the performance of the system in the dynamic variation as well. The presented paper includes the analysis of the Fuzzy PID Controller optimized with the two objective functions Integral of Time weighted Absolute Error (ITAE) and Integral of Absolute Error (IAE) to examine the efficacy of the Intelligent controller as well as the role of the objective functions. After simulation and comparing with the conventional PID, it is found that Intelligent controller outperforms the conventional PID and IAE response is faster than the ITAE response.