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Thomas Dehaeze
2021-02-01 20:32:42 +01:00
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content/book/fleming14_desig_model_contr_nanop_system.md
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title = "Design, modeling and control of nanopositioning systems"
author = ["Thomas Dehaeze"]
draft = false
draft = true
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Tags
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Reference
: ([Fleming and Leang 2014](#org378bdb9))
: ([Fleming and Leang 2014](#org53722bc))
Author(s)
: Fleming, A. J., & Leang, K. K.
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### Amplifier and Piezo electrical models {#amplifier-and-piezo-electrical-models}
<a id="org80070ee"></a>
<a id="orgaaa53eb"></a>
{{< figure src="/ox-hugo/fleming14_amplifier_model.png" caption="Figure 1: A voltage source \\(V\_s\\) driving a piezoelectric load. The actuator is modeled by a capacitance \\(C\_p\\) and strain-dependent voltage source \\(V\_p\\). The resistance \\(R\_s\\) is the output impedance and \\(L\\) the cable inductance." >}}
Consider the electrical circuit shown in Figure [1](#org80070ee) where a voltage source is connected to a piezoelectric actuator.
Consider the electrical circuit shown in Figure [1](#orgaaa53eb) where a voltage source is connected to a piezoelectric actuator.
The actuator is modeled as a capacitance \\(C\_p\\) in series with a strain-dependent voltage source \\(V\_p\\).
The resistance \\(R\_s\\) and inductance \\(L\\) are the source impedance and the cable inductance respectively.
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## Bibliography {#bibliography}
<a id="org378bdb9"></a>Fleming, Andrew J., and Kam K. Leang. 2014. _Design, Modeling and Control of Nanopositioning Systems_. Advances in Industrial Control. Springer International Publishing. <https://doi.org/10.1007/978-3-319-06617-2>.
<a id="org53722bc"></a>Fleming, Andrew J., and Kam K. Leang. 2014. _Design, Modeling and Control of Nanopositioning Systems_. Advances in Industrial Control. Springer International Publishing. <https://doi.org/10.1007/978-3-319-06617-2>.