vault backup: 2024-11-04 09:50:48

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Dane Sabo 2024-11-04 09:50:48 -05:00
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@ -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.