Traditional Positive Position Feedback(PPF)and first-order PPF controllers are inadequate in control effectiveness and robustness,and is thus difficult to be applied to the structures with perturbation effect.A novel Fractional Order(FOPPF1)controller is proposed based on the fractional calculus theory and the first-order PPF to increase the designable space of the controller.Considering the frequency domain characteristic and global vibration amplitude of random response,an optimization design of the objec...