tdehaeze/digital-brain
1
0
Fork 0
Code Issues Pull Requests Releases Wiki Activity

Update Content - 2020-09-21

Browse Source
This commit is contained in:
Thomas Dehaeze 2020-09-21 19:10:23 +02:00
parent 5a3c9583d3
commit 5e8abf87f9
4 changed files with 41 additions and 51 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

15
content/zettels/active_isolation_platforms.md
View File

@ -1,15 +0,0 @@
+++
title = "Active Isolation Platforms"
author = ["Thomas Dehaeze"]
draft = false
+++
Tags
: [Vibration Isolation]({{< relref "vibration_isolation" >}})
| Manufacturers | Links | Country |
|---------------|------------------------------------------------------------------------|---------|
| TMC | [link](https://www.techmfg.com/) | USA |
| Newport | [link](https://www.newport.com/c/optical-tables-%26-isolation-systems) | USA |
<./biblio/references.bib>

33
content/zettels/equipment/active_isolation_platforms.md Normal file
View File

@ -0,0 +1,33 @@
+++
title = "Active Isolation Platforms"
author = ["Thomas Dehaeze"]
draft = false
+++
Tags
: [Vibration Isolation]({{< relref "vibration_isolation" >}})
## Manufacturers {#manufacturers}
| Manufacturers | Links | Country |
|-------------------|----------------------------------------------------------------------------------|-------------|
| TMC | [link](https://www.techmfg.com/) | USA |
| Newport | [link](https://www.newport.com/c/optical-tables-%26-isolation-systems) | USA |
| Thorlabs | [link](https://www.thorlabs.com/navigation.cfm?guide%5FID=42) | USA |
| IDE | [link](https://www.ideworld.com/en/active%5Fvibration%5Fisolation.html) | Germany |
| Harvard Apparatus | [link](https://www.warneronline.com/labmate-vibraplane-workstations-9100-series) | USA |
| Herzan | [link](https://www.herzan.com/products/active-vibration-control/avi-series.html) | USA |
| Standa | [link](http://www.standa.lt/products/catalog/optical%5Ftables?item=335) | Lithuania |
| Table Stable | [link](http://www.tablestable.com/en/products/list/2/) | Switzerland |
| Accurion | [link](https://www.halcyonics.com/active-vibration-isolation-products) | Germany |
| Vibiso | [link](https://vibiso.com/?page%5Fid=3433) | USA |
## Vibration Isolating Pads {#vibration-isolating-pads}
| Manufacturer | links | Country |
|--------------|----------------------------------|---------|
| ACE | [link](https://www.ace-ace.com/) | Germany |
<./biblio/references.bib>

19
content/zettels/singular_value_decomposition.md
View File

@ -10,7 +10,7 @@ Tags
## SVD of a MIMO system {#svd-of-a-mimo-system} ## SVD of a MIMO system {#svd-of-a-mimo-system}
This is taken from ([Skogestad and Postlethwaite 2007](#org0179442)). This is taken from ([Skogestad and Postlethwaite 2007](#org4953f60)).
We are interested by the physical interpretation of the SVD when applied to the frequency response of a MIMO system \\(G(s)\\) with \\(m\\) inputs and \\(l\\) outputs. We are interested by the physical interpretation of the SVD when applied to the frequency response of a MIMO system \\(G(s)\\) with \\(m\\) inputs and \\(l\\) outputs.
@ -18,14 +18,9 @@ We are interested by the physical interpretation of the SVD when applied to the
G = U \Sigma V^H G = U \Sigma V^H
\end{equation} \end{equation}
\\(\Sigma\\) - \\(\Sigma\\): is an \\(l \times m\\) matrix with \\(k = \min\\{l, m\\}\\) non-negative **singular values** \\(\sigma\_i\\), arranged in descending order along its main diagonal, the other entries are zero.
: is an \\(l \times m\\) matrix with \\(k = \min\\{l, m\\}\\) non-negative **singular values** \\(\sigma\_i\\), arranged in descending order along its main diagonal, the other entries are zero. - \\(U\\): is an \\(l \times l\\) unitary matrix. The columns of \\(U\\), denoted \\(u\_i\\), represent the **output directions** of the plant. They are orthonormal.
- \\(V\\): is an \\(m \times m\\) unitary matrix. The columns of \\(V\\), denoted \\(v\_i\\), represent the **input directions** of the plant. They are orthonormal.
\\(U\\)
: is an \\(l \times l\\) unitary matrix. The columns of \\(U\\), denoted \\(u\_i\\), represent the **output directions** of the plant. They are orthonormal.
\\(V\\)
: is an \\(m \times m\\) unitary matrix. The columns of \\(V\\), denoted \\(v\_i\\), represent the **input directions** of the plant. They are orthonormal.
The input and output directions are related through the singular values: The input and output directions are related through the singular values:
@ -48,7 +43,7 @@ Then is follows that:
## SVD to pseudo inverse rectangular matrices {#svd-to-pseudo-inverse-rectangular-matrices} ## SVD to pseudo inverse rectangular matrices {#svd-to-pseudo-inverse-rectangular-matrices}
This is taken from ([Preumont 2018](#org37ddb8b)). This is taken from ([Preumont 2018](#org6558f35)).
The **Singular Value Decomposition** (SVD) is a generalization of the eigenvalue decomposition of a rectangular matrix: The **Singular Value Decomposition** (SVD) is a generalization of the eigenvalue decomposition of a rectangular matrix:
\\[ J = U \Sigma V^T = \sum\_{i=1}^r \sigma\_i u\_i v\_i^T \\] \\[ J = U \Sigma V^T = \sum\_{i=1}^r \sigma\_i u\_i v\_i^T \\]
@ -70,6 +65,6 @@ This will have usually little impact of the fitting error while reducing conside
## Bibliography {#bibliography} ## Bibliography {#bibliography}
<a id="org37ddb8b"></a>Preumont, Andre. 2018. _Vibration Control of Active Structures - Fourth Edition_. Solid Mechanics and Its Applications. Springer International Publishing. <https://doi.org/10.1007/978-3-319-72296-2>. <a id="org6558f35"></a>Preumont, Andre. 2018. _Vibration Control of Active Structures - Fourth Edition_. Solid Mechanics and Its Applications. Springer International Publishing. <https://doi.org/10.1007/978-3-319-72296-2>.
<a id="org0179442"></a>Skogestad, Sigurd, and Ian Postlethwaite. 2007. _Multivariable Feedback Control: Analysis and Design_. John Wiley. <a id="org4953f60"></a>Skogestad, Sigurd, and Ian Postlethwaite. 2007. _Multivariable Feedback Control: Analysis and Design_. John Wiley.

25
content/zettels/vibration_isolation.md
View File

@ -11,7 +11,6 @@ Backlinks:
- [Investigation on active vibration isolation of a stewart platform with piezoelectric actuators]({{< relref "wang16_inves_activ_vibrat_isolat_stewar" >}}) - [Investigation on active vibration isolation of a stewart platform with piezoelectric actuators]({{< relref "wang16_inves_activ_vibrat_isolat_stewar" >}})
- [Active isolation and damping of vibrations via stewart platform]({{< relref "hanieh03_activ_stewar" >}}) - [Active isolation and damping of vibrations via stewart platform]({{< relref "hanieh03_activ_stewar" >}})
- [Modeling and control of vibration in mechanical systems]({{< relref "du10_model_contr_vibrat_mechan_system" >}}) - [Modeling and control of vibration in mechanical systems]({{< relref "du10_model_contr_vibrat_mechan_system" >}})
- [Vibration Control of Active Structures - Fourth Edition]({{< relref "preumont18_vibrat_contr_activ_struc_fourt_edition" >}})
- [Simultaneous, fault-tolerant vibration isolation and pointing control of flexure jointed hexapods]({{< relref "li01_simul_fault_vibrat_isolat_point" >}}) - [Simultaneous, fault-tolerant vibration isolation and pointing control of flexure jointed hexapods]({{< relref "li01_simul_fault_vibrat_isolat_point" >}})
- [Sensor fusion for active vibration isolation in precision equipment]({{< relref "tjepkema12_sensor_fusion_activ_vibrat_isolat_precis_equip" >}}) - [Sensor fusion for active vibration isolation in precision equipment]({{< relref "tjepkema12_sensor_fusion_activ_vibrat_isolat_precis_equip" >}})
- [An intelligent control system for multiple degree-of-freedom vibration isolation]({{< relref "geng95_intel_contr_system_multip_degree" >}}) - [An intelligent control system for multiple degree-of-freedom vibration isolation]({{< relref "geng95_intel_contr_system_multip_degree" >}})
@ -27,31 +26,9 @@ Backlinks:
- [Sensors and control of a space-based six-axis vibration isolation system]({{< relref "hauge04_sensor_contr_space_based_six" >}}) - [Sensors and control of a space-based six-axis vibration isolation system]({{< relref "hauge04_sensor_contr_space_based_six" >}})
- [An exploration of active hard mount vibration isolation for precision equipment]({{< relref "poel10_explor_activ_hard_mount_vibrat" >}}) - [An exploration of active hard mount vibration isolation for precision equipment]({{< relref "poel10_explor_activ_hard_mount_vibrat" >}})
- [Sensor fusion methods for high performance active vibration isolation systems]({{< relref "collette15_sensor_fusion_method_high_perfor" >}}) - [Sensor fusion methods for high performance active vibration isolation systems]({{< relref "collette15_sensor_fusion_method_high_perfor" >}})
- [Vibration Control of Active Structures - Fourth Edition]({{< relref "preumont18_vibrat_contr_activ_struc_fourt_edition" >}})
Tags Tags
: :
## Vibration Isolating Pads {#vibration-isolating-pads}
| Manufacturer | links | Country |
|--------------|----------------------------------|---------|
| ACE | [link](https://www.ace-ace.com/) | Germany |
## Vibration Isolation Tables {#vibration-isolation-tables}
| Manufacturer | links | Country |
|-------------------|----------------------------------------------------------------------------------|-------------|
| TMC | [link](https://www.techmfg.com/products/stacis/stacisiii) | USA |
| Newport | [link](https://www.newport.com/f/guardian-active-isolation-workstations) | USA |
| Thorlabs | [link](https://www.thorlabs.com/navigation.cfm?guide%5FID=42) | USA |
| IDE | [link](https://www.ideworld.com/en/active%5Fvibration%5Fisolation.html) | Germany |
| Harvard Apparatus | [link](https://www.warneronline.com/labmate-vibraplane-workstations-9100-series) | USA |
| Herzan | [link](https://www.herzan.com/products/active-vibration-control/avi-series.html) | USA |
| Standa | [link](http://www.standa.lt/products/catalog/optical%5Ftables?item=335) | Lithuania |
| Table Stable | [link](http://www.tablestable.com/en/products/list/2/) | Switzerland |
| Accurion | [link](https://www.halcyonics.com/active-vibration-isolation-products) | Germany |
| Vibiso | [link](https://vibiso.com/?page%5Fid=3433) | USA |
<./biblio/references.bib> <./biblio/references.bib>