PID controller design based on time response characteristics in fractional order systems

This study discusses the design of Proportional-Integral-Derivative (PID) controllers based on time response characteristics for fractional order systems. Fractional-order systems are challenging to control using traditional control methods due to the complexity of their dynamic behaviour. In this study, a set-point filter is integrated into the PID controller design to ensure the desired system performance and stability. During the design process, appropriate PID parameters and filter coefficients are determined by considering the system's time response specifications. İn thesis work first examines the mathematical models of fractional-order systems using integer-order approximation methods and then determines the PID controller parameters for these systems with an Improved-Grey Wolf Optimization-based optimization algorithm. The proposed approach aims to improve performance criteria such as overshoot, rise time, and settling time based on the desired system response. Simulation results demonstrate the effectiveness of the proposed method in improving system performance. This design approach offers significant potential to control complex systems commonly encountered in industrial applications.