Optimal location of sensors and actuators for an active noise control problem

Author

Fahroo, Fariba ; Demetriou, M.A.

Author_Institution

Dept. of Math., Naval Postgraduate Sch., Monterey, CA, USA

Volume

3

fYear

1999

fDate

1999

Firstpage

1717

Abstract

We consider the problem of optimal location of actuators and sensors for optimizing their performance in reducing the noise field in a cavity. The control strategy is based on a static output feedback control, and the optimization problem is formulated as minimizing the quadratic cost function which is averaged over the random initial conditions. The solution of the optimization problem requires solving a matrix Riccati equation and a Lyapunov equation. We demonstrate the effectiveness of the control strategy and its dependence on location of the sensors and actuators in several numerical examples

Keywords

Legendre polynomials; Riccati equations; acoustic field; active noise control; actuators; approximation theory; feedback; loudspeakers; matrix algebra; microphones; minimisation; sensors; wave equations; Lyapunov equation; cavity; control strategy; matrix Riccati equation; noise field; optimal location; quadratic cost function; static output feedback control; Acoustic noise; Acoustic sensors; Active noise reduction; Actuators; Cost function; Frequency; Noise reduction; Optimal control; Output feedback; Riccati equations;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1999. Proceedings of the 1999

Conference_Location

San Diego, CA

ISSN

0743-1619

Print_ISBN

0-7803-4990-3

Type

conf

DOI

10.1109/ACC.1999.786129

Filename

786129