Multi-objective robust active acoustic radiation control of a piezocomposite arbitrary thick rectangular panel

Active structural acoustic radiation control of a piezolaminated arbitrary thick rectangular plate with a mixed-norm H2/H∞ robust controller is developed. The structure is made of a transversely isotropic host layer with a distributed piezoelectric sensor layer as well as a matched piezoelectric actuator layer، facing high frequency uncertainties and random external disturbances. The elasto-acoustic formulation، based on the exact linear 3D piezo elasticity theory، is developed for problem of fully coupled structure and acoustic mediums. Identification of the fluid/structure interaction system with subspace algorithm is implemented on actuator/sensor data sets. A multi-objective controller with regional pole placement، formulated in LMI framework is synthesized while unmodeled dynamics are treated as multiplicative uncertainties. Numerical simulations confirm effectiveness of the implemented multi objective robust active control scheme for reduction of radiated acoustic power from a piezocomposite plate، without stimulating any instability. Also، better tracking performance and disturbance rejection of mixed-norm controller is observed in comparison to that of ℋ􀬶 and ℋ􀮶 controllers. Finally، validity of the elasto-acoustic model is proved by results obtained from a finite element software، as well as with the data available in the literature.