Adaptive Distributed Boundary Vibration Control of Multiagent Euler–Bernoulli Beams via Cooperative Disturbance Observer Network
Zhibo Zhao, Yuan Yuan, Yu Xiao, Biao Luo, Xiaodong Xu, Weihua Gui, Chunhua Yang, Tingwen Huang · IEEE Systems Journal · 2023
This article presents a method for the vibration suppression problem of a network of multiagent Euler–Bernoulli beams whose dynamics are governed by fourth-order partial differential equations (PDEs). Particularly, the considered multiagent systems are subjected to unknown external disturbances causing unexpected vibration. To this end, this article develops an adaptive vibration controller to reject unknown disturbances and achieve vibration suppression. The proposed controller is equipped with a novel network of cooperative boundary disturbance observers, and each observer in the network transmits the estimated disturbance information. The cooperation among the observers in the network guides to achieve observation consensus. Moreover, based on the proposed disturbance observer network, a new antivibration adaptive boundary controller is developed, and the closed-loop stability is proved based on Lyapunov theory. In addition, it is also shown theoretically that the proposed controller is robust to unknown spatiotemporally distributed load. To validate the effectiveness of the proposed method, numerical simulation examples are carried out, and the application on a marine riser system is studied to further show the strength of the proposed method.