Modeling and vibration control of flexible wings with output constraint

In this paper, we present modeling and vibration control with boundary output constraint. By using the Hamilton's principle, the dynamics of the flexible wings are represented by partial differential equations (PDEs) and several ordinary differential equations (ODEs). Based on the Lyapunov's direct method, model-based barrier control is developed to control the vibrations of the flexible wings under the boundary output constraint. To achieve the constraint violation, a novel barrier Lyapunov function is employed for the control design and stability analysis. The vibration suppress is well achieved without violation of constraint.

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