Individual skill
first-order-model-fitting
Fit first-order dynamic models to experimental step response data and extract K (gain) and tau (time constant) parameters.
tasks/hvac-control/environment/skills/first-order-model-fitting/SKILL.md
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# First-Order System Model Fitting
## Overview
Many physical systems (thermal, electrical, mechanical) exhibit first-order dynamics. This skill explains the mathematical model and how to extract parameters from experimental data.
## The First-Order Model
The dynamics are described by:
```
tau * dy/dt + y = y_ambient + K * u
```
