Abstract
A smart structure is composed of piezoelectric film sensor and actuator in order to reduce the structural vibration. H2 controller is designed with the reduced order model of the smart structure which is obtained by finite element and modal analyses. The control force is applied by the piezoelectric film actuator and the feedback signals are detected by the piezoelectric film sensor and the accelerometer in the system. The modal control and the displacement control with the appropriate actuator placement are conducted by selecting the modal coordinates and the spatial displacement as the controlled response, resulting in the effective vibration reduction. Efficient optimization algorithm based on the two-step procedure is employed in the simultaneous optimization of structural/pi ezoelectric shape and H2 control system. It is verified by some applications that the enhanced performance for the vibration suppression can be achieved by the simultaneous optimization. NOMENCLATURE b; Width of the beam structure bi; Width of z-th piezoelectric actuator element Cs; Damping matrix of the structure F; State feedback gain Hu; Performance index with respect to « Hzim, Performance index with respect to z K; Dynamic compensator as controller Ks; Stiffness matrix of the structure L ; Length of the piezoelectric sensor Ms; Mass matrix of the structure Mst; Mass of the structure q ; State vector of the system tB ; Thickness of the structure tc Thickness of the piezoelectric film ii; Control input Va ; Input voltage to the piezoelectric film actuator
Published Version
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