Abstract

In this paper, we propose a boundary control strategy for vibration suppression of two flexible wings and a rigid body. As a basic approach, Hamilton’s principle is used to ascertain the system dynamic model, which includes governing equations and boundary conditions. Considering the coupled bending and torsional deformations of flexible wings, boundary control force and torque act on the rigid body to regulate unexpected deformations of flexible wings that caused by air flow. Then, we present stability analysis of the closed-loop system through Lyapunov’s direct method. Simulations are carried out by using finite difference method. The results illustrate the significant effect of the developed control strategies.

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