A Comparative Study of Integer Order PID, Fractionalized Order PID and Fractional order PID Controllers on a Class of Stable System

Due to their well-known qualities, including simplicity and ease of use, integer order proportional integral derivative (IOPID) controllers are used in the majority of industrial applications. However, fractional order PID (FOPID) and fractionalized order PID (FrOPID) controllers outperform IOPID controllers because of their nonlinear character and the underlying ISO-damping feature of fractional-order operators. In this study, a stable system is controlled by three distinct controllers based on intelligent optimization techniques. A FOPID controller needs the optimization of five parameters, whereas a FrOPID controller only calls for the optimization of four parameters, and a typical PID controller only calls for the optimization of three parameters. The findings show that implementing soft computing-based PID controllers with fractional or fractionalized time domain requirements improves process performance.