Obsidian/4. Qualifying Exam/2. Writing/1. QE Goals and Outcomes.md

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Outline

  1. What is the purpose of this research?
    1. Use diffusion generative diffusion models to create examples of perturbed plants
    2. You can evaluate robustness of an abstract controller, but actually testing it on real plants is more difficult.
  2. What are the outcomes?
    1. Train a diffusion generative model to generate Bode plots of dynamic systems.
    2. Use that generative model to generate perturbations of a given input plant
    3. Modulate the amount of perturbation by modulating the amount of noise used in the diffusion model

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:

  1. Generate Bode plots based on training data of example dynamic systems
  2. Perturb a nominal plant in an unstructured manner with a controllable difference between perturbed and nominal plants
  3. Approximate a set of controllable plants by generating a large number of perturbed examples
    1. (USE LOCATIONS OF POLES AND ZEROS TO MEASURE DISTANCE)