Abstract

Active control has become important in structural systems as an efficient tool for vibration suppression. A cantilever beam has been chosen as a flexible structure. The entire structure (beam with sensors and actuators) is modeled by Finite Element Method (FEM) by using two different elements. A special beam element, which includes sensor and actuator dynamics has been developed. This finite element is used to model the regions where piezoelectrics are bonded and the rest of the structure is modeled with regular beam elements. Since much of the flexible energy is contained by the first few modes, controlled is designed to suppress only the first two modes. The state-space model of the system is obtained by appropriate method from the FEM model. The significant structural vibrations have been suppressed by using State Feedback and Optimal Output Feedback control laws. The optimal sensor/actuator location for controlling the first two modes has been done.

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