Optimal conventional and fractional PID control algorithm for a robotic system with three degrees of freedom driven by DC motors

The paper presents the new algorithms of PID control based on fractional calculus (FC) and optimal procedure in the position and tracking control of robotic system with 3 DOFs driven by DC motors. The objective of this work is to find out optimal settings for a fractional PI
^α
D
^β
controller in order to fulfill proposed design specifications for the closed-loop system, taking advantage of the fractional orders, α and β. Finally, the effectiveness of suggested optimal fractional PID control is demonstrated with a suitable robot with three degrees of freedom as the illustrative example.