In this paper two approximate linear time-invariant dynamic models, a continuous-time model and a discrete-time one, are proposed for a planar sandwich structure, constituted by two thin piezoelectric elements, mounted on a thin elastic support. The continuous-time model is determined by applying the integral Hamilton principle, once the kinematics of the structure has been approximated by a polynomial function; the discrete-time model is obtained via the direct discretization of the action functional. The non-interacting control and tracking of reference trajectories are stated and solved, both in the continuous-time case and in the discrete-time one. Some simulation results are reported in the paper.
Bona, B., Indri, M., Tornambe, A. (1993). Piezoelectric materials: Continuous-time and discrete-time dynamic models and control. In Proceedings of the IEEE Conference on Decision and Control (pp.1383-1389). Piscataway, NJ, United States : IEEE [10.1109/CDC.1993.325415].
Piezoelectric materials: Continuous-time and discrete-time dynamic models and control
Tornambe, A.
1993-01-01
Abstract
In this paper two approximate linear time-invariant dynamic models, a continuous-time model and a discrete-time one, are proposed for a planar sandwich structure, constituted by two thin piezoelectric elements, mounted on a thin elastic support. The continuous-time model is determined by applying the integral Hamilton principle, once the kinematics of the structure has been approximated by a polynomial function; the discrete-time model is obtained via the direct discretization of the action functional. The non-interacting control and tracking of reference trajectories are stated and solved, both in the continuous-time case and in the discrete-time one. Some simulation results are reported in the paper.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
