Fundamentals of Systems with Hysteresis

In this chapter we introduce the fundamental knowledge of systems with hysteresis. The main dynamics and effects are discussed, such as the static (rate-independent) hysteresis effect, the dynamic hysteresis effect, the creep effect, mechanical vibration, electrical dynamics, and the composite model. The properties of systems with hysteresis are presented in detail. Knowledge of the proposed dynamics, effects, and their properties is necessary to investigate systems with hysteresis. Especially, we propose modeling and control approaches for piezoelectric systems. To make the modeling easier to understand, we provide various figures and experimental data.