Vibration reduction for structures: distributed schemes over directed graphs

This paper aims to bridge the gap between control engineering and vibration engineering. We developed three distributed schemes over directed communication graph topology, specifically for vibration reduction of flexible structures. Under the distributed schemes, vibrations are attenuated through agents consisting of distributed observers and controllers. Compared to traditional methods, the developed approaches can reduce the communication overhead and the computational complexity when a large number of actuators and sensors are deployed. Moreover, two of the developed schemes enjoy the flexibility in reconfiguration of communication graph topology and integration of redundant agents. Furthermore, numerical simulations are presented to demonstrate the effectiveness of the developed schemes in vibration reduction of flexible structures.