vault backup: 2024-08-29 15:53:58
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b0f11b3dbd
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59
.obsidian/hotkeys.json
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59
.obsidian/hotkeys.json
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@ -65,6 +65,10 @@
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"Mod"
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"key": "H"
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"key": "F9"
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@ -102,5 +106,58 @@
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"key": "F10"
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"highlightr-plugin:Grey": [
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"key": "F11"
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{
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"key": "F12"
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{
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"modifiers": [
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"Mod"
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"key": "H"
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"Mod"
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"key": "L"
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"Mod"
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"Mod"
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"key": "K"
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"editor:open-search-replace": [],
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"editor:insert-link": [],
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"editor:toggle-checklist-status": []
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45
.obsidian/workspace.json
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45
.obsidian/workspace.json
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@ -8,7 +8,15 @@
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"type": "tabs",
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"children": [
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@ -18,16 +26,9 @@
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@ -86,6 +87,7 @@
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{
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@ -139,6 +141,25 @@
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"mode": "source",
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"source": false
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"direction": "horizontal",
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@ -157,8 +178,9 @@
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"obsidian-comments:Show Comments Panel": false
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}
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},
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"3-99 Research/6. Researching Techniques/Highlighting Colors and What they Mean.md",
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"4. Qualifying Exam/2. Writing/QE Abstract.md",
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"QE Abstract Take 1 Edits.md",
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"1. Daily Notes/8. August/2024-08-29.md",
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@ -184,7 +206,6 @@
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"900s Calendars/1. Other Work/stubb!.md",
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"900s Calendars/2. Research/2024-08-28 HAIS Journal Club.md",
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"900s Calendars/2. Research/2024-08-26 Fighting with the BeagleBone.md",
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"900s Calendars/2. Research",
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"900s Calendars/1. Other Work",
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@ -0,0 +1,13 @@
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## For reading papers:
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<mark style="background: #BBFABBA6;">Green</mark>: This is a quotable item
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<mark style="background: #FFB8EBA6;">Purple</mark>: Secondary source of something that's interesting
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<mark style="background: #FFB86CA6;">Orange</mark>: I don't know what this means
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<mark style="background: #FF5582A6;">Red</mark>: I think this is wrong
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## For editing in Obsidian:
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<mark style="background: #ABF7F7A6;">Cyan</mark>: This is the topic
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<mark style="background: #FFB8EBA6;">Pink</mark>: The (p)oint
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<mark style="background: #FFB86CA6;">Orange</mark>: I think this is weak.
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<mark style="background: #FF5582A6;">Red</mark>: This shouldn't even be here
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<mark style="background: #FFF3A3A6;">Yellow</mark>: Important words, don't overuse
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<mark style="background: #ADCCFFA6;">Blue</mark>: This needs a citation.
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@ -1,9 +1,9 @@
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# Take 1
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<mark style="background: #ABF7F7A6;">Controllers in the real world control plants that are not perfectly represented by a mathematical model. For this reason, controllers that operate in high-assurance environments must be evaluated to be robust.</mark>
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<mark style="background: #ABF7F7A6;"><mark style="background: #FFF3A3A6;">Controllers</mark> in the real world <mark style="background: #FFF3A3A6;">control</mark> plants that are not perfectly represented by a mathematical model. For this reason, <mark style="background: #FF5582A6;">controllers</mark> that operate in high-assurance environments must be evaluated to be robust.</mark>
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<mark style="background: #FFB8EBA6;">Validation and verification of controller robustness is done today, but is a strenuous, manual task.</mark>
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Examining the robustness of a <mark style="background: #FFF3A3A6;">controller</mark> requires additional mathematical formalism of a system, and analysis of perturbations to a nominal plant model.
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Perturbations can be considered as two forms--structured and unstructured perturbation.
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Unstructured perturbation in particular allows the perturbation to take on any transfer function (or transfer matrix), such that the gain of the transfer function remains less than one.
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<mark style="background: #FFB86CA6;">Examining the robustness of a <mark style="background: #FFF3A3A6;">controller</mark> requires additional mathematical formalism of a system, and analysis of perturbations to a nominal plant model.</mark>
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<mark style="background: #FF5582A6;">Perturbations can be considered as two forms--structured and unstructured perturbation.</mark>
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<mark style="background: #ADCCFFA6;">Unstructured perturbation in particular allows the perturbation to take on any transfer function (or transfer matrix), such that the gain of the transfer function remains less than one.</mark>
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If a controlled system remains stable for the nominal plant and all possible perturbations, it is considered robust.
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To actually validate this statement with actual perturbations is a difficult problem.
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Generating perturbations is not trivial because there is so much possibility for the form of an unstructured perturbation.
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