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Parameter estimation in dynamic Casimir force measurements with known periodicity. (English) Zbl 1255.81215

Summary: It is important to have an accurate estimate of the unknown parameters such as the separation distance between interacting materials in Casimir force measurements. Current methods tend to produce large estimation errors. In this Letter, we present a novel method based on an adaptive control approach to estimate the unknown parameters using large amplitude dynamic Casimir measurements at separation distances of below \(1 \mu m\) where both electrostatic force and Casimir force are significant. The estimate is proved to be accurate and the effectiveness of our method is demonstrated via a numerical example.

MSC:

81T55 Casimir effect in quantum field theory
93C40 Adaptive control/observation systems
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