Adaptive Parameter Estimation In A 2-D Structural Acoustic Model With Piezoceramic Actuator*

摘要

The adaptive estimation of physical parameters in a structural acoustic system involving a 2-D cavity with flexible boundary is considered. The flexible boundary (a beam) is excited via piezoceramic patches which yield an unbounded input operator. A combined state and parameter estimator is con- structed 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.