Abstract

In the current paper, the hysteretic dynamics and butterfly-shaped behavior of ferroelectricmaterials are modeled and controlled with a macroscopic differential model inspired by theLandau theory of first-order phase transformations. Hysteretic dynamic behavior of thematerials is analyzed as a consequence of orientation switching and the governing equationsof the dynamics are formulated as coupled differential equations describing system statesswitching from one equilibrium state to another. The rate dependence of hysteresis isincluded in the analysis. A nonlinear feedback strategy is introduced for the linearizationand a simple and efficient control strategy is proposed. Comparison of the resultsobtained with the developed model and their experimental counterparts is presented.

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