Feedback linearization of hysteretic dynamics of smart structures and devices

Wang, L. and Melnik, R.

Proc. of the 10th International Conference of the European Ceramic Society,  Eds.: J.G. Heinrich and C.G. Aneziris, Berlin, 17-21 June 2007, Göller Verlag GmbH, Baden-Baden, p. 84-89, 2008, ISBN: 3-87246-022-4

Abstract:

Smart devices are widely used in engineering systems as embedded sensors and actuators. In this paper, hysteresis dynamics of smart actuators are modelled by using the Landau theory of phase transformations. The original model based on partial differential equations  is reduced to a system of ordinary differential equations which is cast in the form convenient for engineering applications. The hysteretic dynamics is linearized by using nonlinear feedback methods. An example of modeling and linearization of an actuator made from PZT-5 is presented. By using nonlinear feedback methods, an associated linearized system has been obtained.

Keywords: smart devices, hysteresis, polarization switching, piezoceramics, nonlinearities, feedback linearization