Title :
An H∞/MinMax periodic control in a two-dimensional structural acoustic model with piezoceramic actuators
Author :
Banks, H.T. ; Demitriou, M.A. ; Smith, Ralph C.
Author_Institution :
Center for Res. in Sci. Comput., North Carolina State Univ., Raleigh, NC, USA
fDate :
7/1/1996 12:00:00 AM
Abstract :
A feedback control computational methodology for reducing acoustic sound pressure levels in a two-dimensional cavity with a flexible boundary (a beam) is investigated. The control is implemented in this model through voltages to piezoceramic patches on the beam which are excited in a manner (out-of-phase) so as to produce pure bending moments. The incorporation of the output feedback control in this system leads to a problem with unbounded input and output terms. By writing the resulting system as an abstract Cauchy equation, the problem of reducing interior pressure levels can be posed in the context of an H∞ /MinMax time-domain state-space formulation. A summary of extensive computational efforts comparing output feedback to full state feedback and investigating the effect of the number and location of sensors on performance of the control is presented
Keywords :
H∞ control; acoustic intensity measurement; acoustic variables control; flexible structures; maximum principle; minimax techniques; multidimensional systems; periodic control; piezoceramics; piezoelectric actuators; robust control; state feedback; H∞/MinMax periodic control; abstract Cauchy equation; acoustic sound pressure levels; flexible boundary; full state feedback; interior pressure levels; output feedback control; piezoceramic actuators; piezoceramic patches; pure bending moments; time-domain state-space formulation; two-dimensional cavity; two-dimensional structural acoustic model; Acoustic beams; Control systems; Equations; Feedback control; Minimax techniques; Output feedback; Piezoelectric materials; Time domain analysis; Voltage control; Writing;
Journal_Title :
Automatic Control, IEEE Transactions on
