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Infinite-dimensional control systems with outputs are considered in theHamiltonian formulation with generalized coordinates. An explicit scheme forconstructing a dynamic observer for this class of systems is proposed witharbitrary gain coefficients. Sufficient conditions for the convergence of theconstructed observer are obtained on the basis of the invariance principle.This result is applied to a flexible beam model attached to a mass-springsystem with lumped and distributed actuators. The estimation error decay isillustrated with numerical simulations of finite-dimensional approximations ofthe observer dynamics.

A Dynamic Observer for a Class of Infinite-Dimensional Vibrating Flexible Structures