Optimal control techniques for active noise suppression

Author

Banks, H.T. ; Keeling, S.L. ; Silcox, R.J.

Author_Institution

Div. of Appl. Math., Brown Univ., Providence, RI, USA

fYear

1988

fDate

7-9 Dec 1988

Firstpage

2006

Abstract

Active suppression of noise in a bounded enclosure is considered within the framework of optimal control theory. A sinusoidal pressure field due to exterior offending noise sources is assumed to be known in a neighborhood of interior sensors. The pressure field due to interior controlling sources is assumed to be governed by a nonhomogeneous wave equation within the enclosure and by a special boundary condition designed to accommodate frequency-dependent reflection properties of the enclosure boundary. The form of the controlling sources is determined by considering the steady-state behavior of the system, and it is established that the control strategy proposed is stable and asymptotically optimal

Keywords

noise abatement; optimal control; stability; active noise suppression; asymptotically optimal control; boundary condition; frequency-dependent reflection; nonhomogeneous wave equation; sinusoidal pressure field; stable control; steady-state behavior; Acoustic noise; Active noise reduction; Boundary conditions; Control systems; Frequency dependence; Mathematics; NASA; Optimal control; Pressure control; Reflection;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1988., Proceedings of the 27th IEEE Conference on

Conference_Location

Austin, TX

Type

conf

DOI

10.1109/CDC.1988.194686

Filename

194686