Smart material systems - model development

By Ralph C. Smith. Frontiers in applied mathematics, 2005

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A survey on hysteresis modeling, identification and control (2014, background): “As detailed in [20], hysteresis is directly associated with the non-centro-symmetric structure of ferroelectric compounds and is observed to some degree at essentially all drive levels.”
Robust Adaptive Control of Coupled Parallel Piezo-Flexural Nanopositioning Stages (2009, background): “The dynamics of such a system demonstrate the behavior of a distributed-parameter system, which is well described by a set of partial differential equations [19].”
Modeling and Compensation of Asymmetric Hysteresis Nonlinearity for Piezoceramic Actuators With a Modified Prandtl–Ishlinskii Model (2014, methodology): “The physics-based models [12], [13] are derived on the basis of a physical measure, such as energy, displacement, or stressstrain relationship, while phenomenological hysteresis models [14]–[16] are constructed from the experimental data without considering the physical property of the actuator.”