Title :
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
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;
Conference_Titel :
American Control Conference, 1999. Proceedings of the 1999
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4990-3
DOI :
10.1109/ACC.1999.786129
