28 March 2012 Sliding mode control design for hysteretic ferroelectric materials
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Abstract
Ferroelectric materials are attractive for use in a wide range of applications due to their unique transduction capabilities. However, taking full advantage of these capabilities requires a control design which accounts for the materials' inherent hysteretic behavior. A common approach is to partially cancel the hysteretic effects in the system by employing an approximate inversion algorithm in the control input, resulting in an almost linear system. Using a recently developed modification to the homogenized energy model for ferroelectric materials, we combine this method with a sliding mode control design to track a reference trajectory even in the presence of modeling and inversion errors. Numerical simulations illustrate the effectiveness of the design.
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Jerry A. McMahan, Ralph C. Smith, "Sliding mode control design for hysteretic ferroelectric materials", Proc. SPIE 8342, Behavior and Mechanics of Multifunctional Materials and Composites 2012, 83420K (28 March 2012); doi: 10.1117/12.914631; https://doi.org/10.1117/12.914631
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