Adaptive stabilization and parameters estimation for a Kirchhoff's nonlinear beam with uncertain input disturbances under boundary output feedback control

摘要

In this paper, we consider the adaptive stabilization and parameters estimation for a Kirchhoff-type nonlinear beam with one end fixed and control and uncertain input disturbances at another end. A high-gain adaptive regulator is designed in terms of measured collocated end velocity and the estimate for unknown parameters of the uncertain input disturbances. The global existence and uniqueness of the classical solution of the closed-loop system are justified. It is shown that the system is stable, and meanwhile, the estimated parameters converge to the unknown parameters.