From 44e0c4825ddadf5dbda4367619f34ab121d8afb4 Mon Sep 17 00:00:00 2001 From: Dane Sabo Date: Wed, 16 Oct 2024 12:15:44 -0400 Subject: [PATCH] vault backup: 2024-10-16 12:15:44 --- .obsidian/graph.json | 2 +- .../3 Notes/How is robust control validation done?.md | 0 4 Qualifying Exam/3 Notes/Robust Control.md | 4 ++-- 3 files changed, 3 insertions(+), 3 deletions(-) rename How is robust control validation done?.md => 4 Qualifying Exam/3 Notes/How is robust control validation done?.md (100%) diff --git a/.obsidian/graph.json b/.obsidian/graph.json index 169da3a63..12c57f275 100755 --- a/.obsidian/graph.json +++ b/.obsidian/graph.json @@ -67,6 +67,6 @@ "repelStrength": 11.9791666666667, "linkStrength": 1, "linkDistance": 148, - "scale": 0.13348388671875, + "scale": 0.200225830078125, "close": true } \ No newline at end of file diff --git a/How is robust control validation done?.md b/4 Qualifying Exam/3 Notes/How is robust control validation done?.md similarity index 100% rename from How is robust control validation done?.md rename to 4 Qualifying Exam/3 Notes/How is robust control validation done?.md diff --git a/4 Qualifying Exam/3 Notes/Robust Control.md b/4 Qualifying Exam/3 Notes/Robust Control.md index c38596639..f5b1ec3d5 100644 --- a/4 Qualifying Exam/3 Notes/Robust Control.md +++ b/4 Qualifying Exam/3 Notes/Robust Control.md @@ -1,6 +1,6 @@ # History ## Where did Robust Control come from? -After the beginnings of modern control and the development of optimal control, John Doyle released a paper in 1978 titled [Guaranteed Margins for LQG regulators](doyleGuaranteedMarginsLQG1978a). This is a less than one page paper that basically gave birth to the robust control field, with a three word abstract: "There are none." I'm working out the kinks in this one ([[Feedback Control Theory]]), but essentially the gaussian part of the LQG is what destroys the guaranteed part of the phase and gain margins. The additional estimator involved can really screw with things. +After the beginnings of modern control and the development of optimal control, John Doyle released a paper in 1978 titled [Guaranteed Margins for LQG regulators](doyleGuaranteedMarginsLQG1978). This is a less than one page paper that basically gave birth to the robust control field, with a three word abstract: "There are none." I'm working out the kinks in this one ([[Feedback Control Theory]]), but essentially the gaussian part of the LQG is what destroys the guaranteed part of the phase and gain margins. The additional estimator involved can really screw with things. I should add some context: [[4 Qualifying Exam/3 Notes/Feedback Control Theory]]. # What does Robust Control do? @@ -11,6 +11,6 @@ Not particularly a limit but something to look at: there are a ton of papers tha [[farzanRobustControlSynthesis2020]] **Limitation**: Using automated design tools for robust control of SISO systems has its benefits outweighed by the labor involved in creating the weighting transfer functions [@atsumiModifiedBodePlots2012]. -There is some work going on that tries to deal with this @atsumiModifiedBodePlots2012 . These people have made a tool +There is some work going on that tries to deal with this @atsumiModifiedBodePlots2012 . These people have made a tool that can create transfer functions using an upper bound of $\Delta$ and $W$ **Limitation**: Disk unstructured uncertainty cannot lend itself to creating individual examples of perturbed plants. It is not as simple as picking a plant that is within the robust control disk, because the transfer function that actually gets you there is lost in the abstraction. Or perhaps generalized. \ No newline at end of file