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4 June 1999Piezoelectric displacement feedback control with time delay
Distributed vibration control of an elastic beam is analyzed. The elastic beam is sandwiched between two thin layers of mono-axially oriented piezoelectric material. One layer acts as a distributed sensor while the other behaves as an actuator. A displacement feedback control with a time delay is implemented. In this feedback, the distributed sensor signal which is proportional to strains is amplified and applied to the actuator after a time delay. Because of the nature of the problem the control action enters as a boundary control. An evaluation of the control effectiveness, natural frequency and damping is made for the case of a cantilever beam. Comparisons are given with the uncontrolled cases and zero-delay systems.
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James M. Sloss, Sarp Adali, Ibrahim S. Sadek, John C. Bruch Jr., "Piezoelectric displacement feedback control with time delay," Proc. SPIE 3667, Smart Structures and Materials 1999: Mathematics and Control in Smart Structures, (4 June 1999); https://doi.org/10.1117/12.350115