diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json index 34eb2a6f6..b5f4f1a46 100755 --- a/.obsidian/workspace.json +++ b/.obsidian/workspace.json @@ -246,6 +246,8 @@ }, "active": "ab8f2254d8e0d443", "lastOpenFiles": [ + "4. Qualifying Exam/qualifying_exam_application_form_filled.docx", + "4. Qualifying Exam/lu177571y8ue.tmp", "4. Qualifying Exam/99. Exports/QE Abstract For Dan_v2.pdf", "4. Qualifying Exam/2. Writing/0. QE Abstract.md", "4. Qualifying Exam/2. Writing/QE Abstract For Dan.md", @@ -280,8 +282,6 @@ "300s School/301. ME 2016 - Nonlinear Dynamical Systems 1/venv/share/man/man1", "300s School/301. ME 2016 - Nonlinear Dynamical Systems 1/venv/share/man", "300s School/301. ME 2016 - Nonlinear Dynamical Systems 1/venv/share", - "300s School/301. ME 2016 - Nonlinear Dynamical Systems 1/venv/pyvenv.cfg", - "300s School/301. ME 2016 - Nonlinear Dynamical Systems 1/venv/lib/python3.12/site-packages/six.py", "300s School/301. 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Writing/QE Abstract For Dan.md +++ b/4. Qualifying Exam/2. Writing/QE Abstract For Dan.md @@ -1,11 +1,11 @@ **Diffusion Generative Models For Unstructured Uncertainty Perturbations** -The goal of this research is to use a generative diffusion model to create unstructured perturbations of a nominal plant. If this research is successful, this diffusion model will accomplish three main tasks: +The goal of this research is to use a generative diffusion model to create unstructured perturbations of a nominal plant. If this research is successful, we will be able to use a diffusion generative model to do the following: 1. Generate Bode plots based on training data of example dynamic systems 2. Perturb a nominal plant in an unstructured manner with a controllable amount of uncertainty 3. Approximate a set of controllable plants by generating a large number of perturbed examples -The diffusion generative model has shown great promise in creating novel and realistic samples from training data. This research will train a generative model to create Bode plots of transfer functions. This model will be given a nominal plant as an input and then generate a perturbed plant. Once created, this perturbed plant can be evaluated if it belongs to the set of controllable plants for a desired controller. This process will be repeated several times to generate enough plants to approximate the set of controllable plants. +The diffusion generative model has shown great promise in creating novel and realistic samples from training data. This research will train a generative model to create Bode plots of transfer functions. This model will be given a nominal plant as an input and then generate a perturbed plant. Once created, this perturbed plant can be evaluated if it belongs to the set of controllable plants for a desired controller. This process will be repeated several times to generate enough plants to approximate the set. These generated plants can be used to verify robustness of controller implementations. A model of a controller can use robust control theory to establish the set of controllable plants, but an actual implementation of a controller can not be verified as robust in the same way. Instead, it must be verified experimentally using elements of the set. Extracting elements of the set is not a trivial task, but if this research is successful, a generative model can reduce the effort required to create perturbed plants. -**STATS: 247 / 250 words** \ No newline at end of file +**STATS: 250 / 250 words** \ No newline at end of file diff --git a/4. Qualifying Exam/99. Exports/QE Abstract For Dan_v2.pdf b/4. Qualifying Exam/99. Exports/QE Abstract For Dan_v2.pdf index a6c4d8868..7f5e34812 100644 Binary files a/4. Qualifying Exam/99. Exports/QE Abstract For Dan_v2.pdf and b/4. Qualifying Exam/99. Exports/QE Abstract For Dan_v2.pdf differ diff --git a/4. 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