21 August 2001 Comparison of analytical results for various feedback controls using piezoelectric patches
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Abstract
An analysis of the solutions for various feedback control laws applied to vibrating cantilever beams is evaluated. The control is carried out via piezoelectric patch sensors and actuators. By considering an integral equation formulation, which is equivalent to the differential equation formulation, the analytical results are investigated. The conversion is accomplished by introducing an explicit Green's Function. The feedback controls implemented include displacement, velocity, acceleration and combinations of these. A numerical comparison of eigenvalues will be presented to illustrate the efficacy of the method and to contrast the effects of the controls. The results presented in the study can be used for benchmarking solutions based on numerical or approximation approaches.
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James M. Sloss, James M. Sloss, John C. Bruch, John C. Bruch, Ibrahim S. Sadek, Ibrahim S. Sadek, Sarp Adali, Sarp Adali, "Comparison of analytical results for various feedback controls using piezoelectric patches", Proc. SPIE 4326, Smart Structures and Materials 2001: Modeling, Signal Processing, and Control in Smart Structures, (21 August 2001); doi: 10.1117/12.436480; https://doi.org/10.1117/12.436480
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