Adaptive parameter estimation in a 2-D structural acoustic model with piezoceramic actuator

Author

Banks, H.T. ; Demetriou, M.A. ; Smith, R.C.

Author_Institution

Centre for Res. in Sci. Comput., North Carolina State Univ., Raleigh, NC, USA

Volume

2

fYear

1994

fDate

29 June-1 July 1994

Firstpage

1454

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.

Keywords

Lyapunov methods; approximation theory; convergence of numerical methods; flexible structures; initial value problems; parameter estimation; piezoelectric actuators; state estimation; structural acoustics; 2D cavity; 2D structural acoustic model; Lyapunov-like estimate; adaptive parameter estimation; finite dimensional approximation theory; flexible beam; flexible boundary; initial value problem; parameter convergence; piezoceramic actuator; state convergence; state estimator; Acoustic beams; Acoustic noise; Actuators; Concrete; Convergence; Equations; NASA; Parameter estimation; Piezoelectric materials; State estimation;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1994

Print_ISBN

0-7803-1783-1

Type

conf

DOI

10.1109/ACC.1994.752305

Filename

752305