Comparison of stabilization of current-actuated and voltage-actuated piezoelectric beamsitle
Current controlled piezoelectric beams have become increasingly popular recently. The authors have used a variational approach derive the model for a single piezoelectric beam actuated by a current source at the electrodes, and similarly for the voltage-controlled case. Magnetic effects are included. In addition to the Euler-Bernoulli displacement assumptions for the mechanical part, electrical and magnetic vector potential terms are assumed to be quadratic-through thickness, not linear. Inclusion of magnetic effects significantly changes the stabilizability properties of the model. The voltage-controlled beam leads to a control operator that is unbounded in the energy space, while the current-controlled case leads to a bounded control operator. The two situations are compared from a control perspective.
Applied Mechanics | Control Theory | Electro-Mechanical Systems | Partial Differential Equations
Recommended Repository Citation
Ozer, Ahmet Ozkan and Morris, Kirsten. (2014). Comparison of stabilization of current-actuated and voltage-actuated piezoelectric beamsitle. The Proceedings of the 53rd IEEE Conference on Decision & Control,, 219-225.
Available at: https://digitalcommons.wku.edu/math_fac_pub/46