diff --git a/4 Qualifying Exam/2 Writing/2. QE State of the Art.md b/4 Qualifying Exam/2 Writing/2. QE State of the Art.md index f1674b88e..0256eee03 100644 --- a/4 Qualifying Exam/2 Writing/2. QE State of the Art.md +++ b/4 Qualifying Exam/2 Writing/2. QE State of the Art.md @@ -51,10 +51,12 @@ I got ChatGPT to help me with some stuff following the first version: Here was a ## ChatGPT Analysis ### **Robust Control Theory and Perturbation Challenges** **1.1 Robust Control Principles**: Briefly introduce robust control, emphasizing its focus on stability and performance despite uncertainties. Clarify that robust control aims to ensure reliability under a range of conditions. + - Where did robust control come from? **1.2 Types of Uncertainty in Control Systems**: Explain structured vs. unstructured uncertainties and why unstructured uncertainties, though useful for capturing unmodeled dynamics, are challenging to generate. - Talk about structured first. Structured makes sense bc it's tractable and is intuitive - Then why unstructured. Need to make room for unmodeled dynamics. **1.3 Limitations of Current Perturbation Methods**: Discuss the current methods for structured perturbation generation and the lack of effective techniques for generating random, unstructured perturbations, especially for validating controller implementations. +**1.4 Modern Efforts such as reachability and formal methods** ### **Generative Models and Their Potential in Engineering** **2.1 Evolution of Generative Modeling**: Provide a brief history of generative models, covering GANs, VAEs, and diffusion models, highlighting their application in creating realistic samples. **2.2 Limitations of Existing Models for Control**: Explain why traditional generative models are impractical for control applications, especially where controllable, unstructured perturbations are required.