Abstract
The adaptive estimation of physical parameters in a structural acoustic system involving a 2D cavity with flexible boundary is considered. The flexible boundary (beam) is excited via piezoceramic patches which yield an unbounded input operator. A combined state and parameter estimator is constructed as an initial value problem with unbounded input operator for an infinite dimensional evolution equation in variational form. State convergence is established via a Lyapunov-like estimate. The notion of persistence of excitation required to guarantee parameter convergence is discussed and a finite dimensional approximation theory is outlined.
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