Stability Analysis of Fractional-Order PID Controller

The PID controller is more adaptable and provides the chance to improve the ability to modify the control system. It is compact and simple, but the analog perceptive of the fractional order (FO) system is very difficult to adapt to changes. Incidentally, FOPID has more degree of freedom than conventional PID controller. It can be expected that FOPID can provide better performance with the appropriate selection of control parameters. However, with so many parameters to be fixed, the related interaction problem will be much more difficult to deal with. The FOPID controller was tuned with Ziglar Nicholas Tuning and TyreusLuyben tuning and then compared with Particle Swarm Optimisation (PSO) technique. It is motivated to improve the strategic FOPID optimization process to achieve specific performance of the controller.