In this paper a new method for elastic H8-optimal fractional order PID with FIR filters (FOPID + FIR) controller design using hybrid population-based algorithm is presented. With the use of a population-based algorithm an initial structure of the controller is adjusted in a such way that the designed controller fulfills the control objective in the best way possible. Moreover, in the control process the controller feedback signals' noise and discretization were taken into consideration. The goal of this paper is to show the influence of using FIR filters and FOPID controller structure on accuracy and to present possibilities of designing elastic controller structure using proposed hybrid population-based algorithm. The proposed method was tested on typical control problem.