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Update Bumpless-PI-Controller-Analysis.ipynb
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notebooks/3/Bumpless-PI-Controller-Analysis.ipynb

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"\\frac{du}{dt} = -K_p \\dot{T}^*_{S,1} + K_I (T^*_{set} - T^*_{S,1})\n",
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"\\end{equation}\n",
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"\n",
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"Finally, subsitute the second differential equation:\n",
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"Finally, substitute the second differential equation:\n",
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"\n",
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"\\begin{equation}\n",
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"\\frac{du}{dt} = -K_p \\frac{U_b (T^*_{H,1} - T^*_{S,1})}{C_p^S} + K_I (T^*_{set} - T^*_{S,1})\n",

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