<title>Adaptive positive-position feedback controller design for the vibration suppression of smart structures</title>

Abstract

This research is concerned with the adaptive positive position feedback (PPF) controller design for the vibration suppression of smart structures. The main advantage of the PPF controller is that it can tackle the target mode without disturbing other modes. However, its major drawback is that we should tune the PPF filter frequency to the natural frequency of the target mode. In this study, we developed a new algorithm, which can adaptively trace the optimal PPF filter frequency in real time. To this end, we applied the gradient descent method to the digital PPF controller and derived the adaptive PPF control algorithm in digital form, which can be implemented in real time. The proposed adaptive PPF controller was tested using the simple beam structure. The experimental results show that the adaptive PPF controller is capable of tuning the PPF filter frequency to the optimal one in real time thus achieving vibration suppression in changing environments.