From cef6e57367993bb8dcc94e61f80c874b70c84d49 Mon Sep 17 00:00:00 2001
From: Dane Sabo <dane.sabo@pitt.edu>
Date: Thu, 29 Aug 2024 17:10:15 -0400
Subject: [PATCH] vault backup: 2024-08-29 17:10:15

---
 .obsidian/workspace.json                     | 28 ++++----------------
 4. Qualifying Exam/2. Writing/QE Abstract.md | 12 ++++++++-
 2 files changed, 16 insertions(+), 24 deletions(-)

diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json
index 28ace3b9..742e67aa 100755
--- a/.obsidian/workspace.json
+++ b/.obsidian/workspace.json
@@ -29,24 +29,6 @@
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-            "type": "leaf",
-            "state": {
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-              "state": {
-                "file": "4. Qualifying Exam/1. Managing Stuff/QE Tasks and Details.md",
-                "mode": "source",
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@@ -113,7 +95,7 @@
             "state": {
               "type": "backlink",
               "state": {
-                "file": "4. Qualifying Exam/1. Managing Stuff/QE Tasks and Details.md",
+                "file": "4. Qualifying Exam/2. Writing/QE Abstract.md",
                 "collapseAll": true,
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                 "sortOrder": "alphabetical",
@@ -130,7 +112,7 @@
             "state": {
               "type": "outgoing-link",
               "state": {
-                "file": "4. Qualifying Exam/1. Managing Stuff/QE Tasks and Details.md",
+                "file": "4. Qualifying Exam/2. Writing/QE Abstract.md",
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@@ -153,7 +135,7 @@
             "state": {
               "type": "outline",
               "state": {
-                "file": "4. Qualifying Exam/1. Managing Stuff/QE Tasks and Details.md"
+                "file": "4. Qualifying Exam/2. Writing/QE Abstract.md"
               }
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           }
@@ -196,8 +178,9 @@
       "obsidian-comments:Show Comments Panel": false
     }
   },
-  "active": "e68f5c71de13f18c",
+  "active": "3c8fa3261c26a8f5",
   "lastOpenFiles": [
+    "4. Qualifying Exam/1. Managing Stuff/QE Tasks and Details.md",
     "4. Qualifying Exam/2. Writing/QE Abstract.md",
     "3-99 Research/6. Researching Techniques/Highlighting Colors and What they Mean.md",
     "QE Abstract Take 1 Edits.md",
@@ -223,7 +206,6 @@
     "900s Calendars/3. Events/2024-08-27 Fighting Parking Ticket.md",
     "900s Calendars/1. Other Work/stubb!.md",
     "900s Calendars/2. Research/2024-08-28 HAIS Journal Club.md",
-    "900s Calendars/2. Research/2024-08-26 Fighting with the BeagleBone.md",
     "900s Calendars/3. Events",
     "900s Calendars/2. Research",
     "900s Calendars/1. Other Work",
diff --git a/4. Qualifying Exam/2. Writing/QE Abstract.md b/4. Qualifying Exam/2. Writing/QE Abstract.md
index fede285b..870ad3a0 100644
--- a/4. Qualifying Exam/2. Writing/QE Abstract.md	
+++ b/4. Qualifying Exam/2. Writing/QE Abstract.md	
@@ -32,4 +32,14 @@ This method of perturbation generation can be very powerful for robust controlle
 ## First thoughts
 1. Introduce what a perturbation set is
 2. Generating unstructured perturbations is hard, but maybe we can use diffusion to do it
-3. 
\ No newline at end of file
+3. Who gives a fuck about validation and verification. Why do we need to do actual samples?
+## Attempt
+Real world control systems do not operate on nominal plants, but instead control a physical plant that has similar but slightly different dynamics.
+This discrepancy of dynamics is called a perturbation, and can affect controller performance. 
+The amount of perturbation that a control system can tolerate without violating performance or safety requirements is a crucial property to understand for high assurance systems.
+The field of robust control and robustness analysis establishes bounds for the allowable amount of perturbation for a given controller and set of requirements.
+We can know the set of allowable plants that our controller can command, and we can make guarantees about plants within those sets using robust control.
+
+What we cannot do is easily validate our guarantees on a real controller. 
+While we have been able to find the set of perturbed plants for decades, being able to create and test a controller with elements from that set is by no means trivial. 
+The most common way of accomplishing this task today is by using structured uncertainty. 
\ No newline at end of file