<p>This paper presents an approach to design a robust FOPID (fractional order PID) controller with CTC (Computed Torque Control) strategy tuned by hybrid algorithm of PSO (Particle Swarm Optimization) and DE (Differential Evolution) for trajectory tracking control of a Delta parallel robot. It is contrasted with previous approaches, in which a traditional controller (integer order PID) and FOPID controller implemented for process control. And it is also contrasted with FOPID tuning approaches using gradient based optimization algorithms. The nonlinear dynamic model of the delta robot is linearized to a decoupled double integrating system employing CTC strategy. A robust FOPID controller that satisfies various design specifications such as robustness, disturbance and noise rejection, leads to a nonlinear optimization problem with nonlinear constraints, which is solved using PSO-DE hybrid algorithm with very good global search ability. MATLAB/ADAMS co-simulations and experiments show that the robust FOPID controller which is approached in this paper, has much better tracking performance and robustness than IOPID.</p>