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https://github.com/cadojo/replicated-roa-analysis

Replicated nonlinear region of attraction (ROA) analysis for NASA's Generic Transport Model (GTM).
https://github.com/cadojo/replicated-roa-analysis

control-systems control-theory dynamics nonlinear-control python3 scientific-computing

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Replicated nonlinear region of attraction (ROA) analysis for NASA's Generic Transport Model (GTM).

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# Replicated Region of Attraction Analysis

## Summary
This repository contains a [report](/Report/Carpinelli_ROA_Estimation.pdf), and [Jupyter Notebook](/Code/Carpinelli%20-%20ROA%20Estimation.pdf) summarizing (and at times, replicating) nonlinear region of attraction analysis completed by [Chakraborty et al](https://www.sciencedirect.com/science/article/abs/pii/S0967066110002595). This project was completed as part of the University of Maryland Aerospace Engineering Department's Applied Nonlinear Control course (ENAE 743). The end result has been placed here; the full repository history is in a private coursework repository.

## Background
NASA's GTM is a high-fidelity radio controlled model aircraft, which is used to research off-nominal flight control conditions. Chakraborty et al summarized the longitudinal state dynamics of NASA's GTM, approximated the dynamics as low-order polynomials, and then utilized existing sum-of-squares optimization software (such as [SOSTOOLS](https://www.cds.caltech.edu/sostools/)) to efficiently approximate the maximum elliptical subset of a trim condition's region of attraction.

As part of a Spring 2020 ENAE 743 final project, Chakraborty et al's results were summarized. First, the results were informally summarized and partially implemented with Python code in a [Jupyter Notebook](/Code/Carpinelli%20-%20ROA%20Estimation.pdf). Then, the results (replicated and not) were formally summarized in a [report](/Report/Carpinelli_ROA_Estimation.pdf).