Boundary fixed-time disturbance rejection and vibration consensus control for a leaderless beam network
Xiangqian Yao, Yu Liu · 2024
This article addresses the boundary vibration control problem for a leaderless network of Euler-Bernoulli beam systems with unknown time-varying boundary disturbances. Based on boundary feedback control, disturbance observer, and graph theory, a novel distributed boundary control algorithm is proposed to achieve vibration suppression and reach the spatial point-wise asymptotic consensus for multiple Euler-Bernoulli beam systems. To estimate time-varying disturbances at a common fixed time, an improved distributed boundary disturbance observer is created. With the proposed control algorithm, spatial point-wise asymptotic consensus vibration control is achieved by using the Lyapunov-based approach and Barbalat’s lemma. Additionally, the well-posedness of the closed-loop network is demonstrated using the operator semi-group approach. At last, some numerical results are presented to state the validity of the designed control algorithm.