Update Content - 2024-12-19
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@ -20,7 +20,7 @@ Depending on the physical system to be controlled, several feedforward controlle
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Second order trajectory planning: the acceleration and velocity can be bound to wanted values.
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Such trajectory is shown in [1](#figure--fig:feedforward-second-order-trajectory).
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Such trajectory is shown in [Figure 1](#figure--fig:feedforward-second-order-trajectory).
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<a id="figure--fig:feedforward-second-order-trajectory"></a>
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@ -38,7 +38,7 @@ F\_{ff} = m a + c v
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<span class="org-target" id="org-target--sec-fourth-order-feedforward"></span>
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The main advantage of "fourth order feedforward" is that it takes into account the flexibility in the system (one resonance between the actuation point and the measurement point, see [2](#figure--fig:feedforward-double-mass-system)).
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The main advantage of "fourth order feedforward" is that it takes into account the flexibility in the system (one resonance between the actuation point and the measurement point, see [Figure 2](#figure--fig:feedforward-double-mass-system)).
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This can lead to better results than second order trajectory planning as demonstrated [here](https://www.20sim.com/control-engineering/snap-feedforward/).
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<a id="figure--fig:feedforward-double-mass-system"></a>
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@ -76,7 +76,7 @@ q\_3 &= (m\_1 + m\_2)c + k\_1 k\_2 + (k\_1 + k\_2) k\_{12} \\\\
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q\_4 &= (k\_1 + k\_2) c
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\end{align}
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This means that if a fourth-order trajectory for \\(x\_2\\) is used, the feedforward architecture shown in [3](#figure--fig:feedforward-fourth-order-feedforward-architecture) can be used:
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This means that if a fourth-order trajectory for \\(x\_2\\) is used, the feedforward architecture shown in [Figure 3](#figure--fig:feedforward-fourth-order-feedforward-architecture) can be used:
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\begin{equation}
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F\_{f2} = \frac{1}{k\_12 s + c} (q\_1 d + q\_2 j + q\_3 q + q\_4 v)
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@ -103,7 +103,7 @@ q\_4 &= c\_1 k
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and \\(s\\) the snap, \\(j\\) the jerk, \\(a\\) the acceleration and \\(v\\) the velocity.
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The same architecture shown in [3](#figure--fig:feedforward-fourth-order-feedforward-architecture) can be used.
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The same architecture shown in [Figure 3](#figure--fig:feedforward-fourth-order-feedforward-architecture) can be used.
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In order to implement a fourth order trajectory, look at [this](https://www.mathworks.com/matlabcentral/fileexchange/16352-advanced-setpoints-for-motion-systems) nice implementation in Simulink of fourth-order trajectory planning (see also (<a href="#citeproc_bib_item_1">Lambrechts, Boerlage, and Steinbuch 2004</a>)).
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@ -11,6 +11,8 @@ Tags
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## Commercial Temperature Controllers {#commercial-temperature-controllers}
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- <https://www.thinksrs.com/products/tempcontrol.html>
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- <https://www.thorlabs.com/thorproduct.cfm?partnumber=TC300B>
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- <https://www.vescent.com/manuals/doku.php?id=slice:qt>
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## Bibliography {#bibliography}
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content/zettels/temperature_sensors.md
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55
content/zettels/temperature_sensors.md
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@ -0,0 +1,55 @@
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+++
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title = "Temperature Sensors"
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author = ["Dehaeze Thomas"]
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draft = false
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+++
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Tags
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:
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## Temperature sensors types {#temperature-sensors-types}
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There are three main types of temperature sensors:
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- [RTD](#org-target--sec-temperature-sensor-rtd) (Resistance Temperature Detectors): made of pure metals (Pt, Ni or Cu)
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They are all PTC (Positive Temperature Coefficient): PT100, PT1000, ...
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- [Thermistor](#org-target--sec-temperature-sensor-thermistor): made of metal oxide mixtures (semiconductor materials).
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It can have a NTC (Negative Temperature Coefficient) or a PTC (Positive Temperature Coefficient).
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- [Thermocouple](#org-target--sec-temperature-sensor-thermocouple) (Seebeck effect):
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- Type K (-180 to 1200 degC)
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- Type T (-250 to 350 degC)
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### RTD {#rtd}
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<span class="org-target" id="org-target--sec-temperature-sensor-rtd"></span>
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### Thermistor {#thermistor}
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<span class="org-target" id="org-target--sec-temperature-sensor-thermistor"></span>
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### Thermocouple {#thermocouple}
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<span class="org-target" id="org-target--sec-temperature-sensor-thermocouple"></span>
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### Comparison of sensor types {#comparison-of-sensor-types}
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<https://www.ni.com/fr/shop/data-acquisition/sensor-fundamentals/measuring-temperature-with-thermocouples-rtds-and-thermistors.html?srsltid=AfmBOoqrR2VCWVvkCTjzTIYHlyiKVpt6Ket1xfhU1yFPTtXsGKg0RILE>
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| | RTD | Thermistor | Thermocouple |
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|---------------|-----|------------|--------------|
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| Accuracy | | | |
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| Stability | | | |
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| Sensitivity | | | |
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| Response time | | | |
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| Self heating | | | |
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## Bibliography {#bibliography}
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<style>.csl-entry{text-indent: -1.5em; margin-left: 1.5em;}</style><div class="csl-bib-body">
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</div>
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