Multi-variable structural acoustic control with static compensation

Structural acoustic control of stochastic disturbance sources based on static compensation of multiple input, multiple-output colocated transducer arrays is addressed in this work. Prior feedback controller designs for structural acoustic systems have been based on linear quadratic regulator theory or linear quadratic Gaussian theory, however, the need for a state estimator limits the practical implementation of such control systems on plants characterized by model uncertainty and high modal density. Results presented in this work serve to demonstrate that direct output-feedback control can be successfully employed to attenuate the structural acoustic response of a panel subjected to exogenous input disturbances. Colocated transducer pairs were implemented with a fully populated constant feedback gain matrix from sensor outputs to control inputs. The colocated transducer array serves to enhance robust stability, while the constant feedback gain matrix provides a practical means of implementation. The effects of instrumentation density, control effort penalty, and model order on predicted performance are considered. (C) 1997 Acoustical Society of America.