MATLAB-Mathematical Modeling of Thermal Systems

The inside of the room is at temperature π‘‡π‘Ÿand the walls are assumed to be at temperature 𝑇𝑀.

If the outside temperature is π‘‡π‘œ, develop a model of the system to show the relationship between the supplied heat π‘ž and the room temperature π‘‡π‘Ÿ
Write the state-space model of the system in a matrix form and solve this equation using MATLAB. Plot the figures showing temperature variation for this thermal system in terms of π‘‡π‘Ÿ vs. 𝑑 and 𝑇𝑀 vs. 𝑑 (π‘‘π‘–π‘šπ‘’). (Assume that π‘…π‘Ÿ=0.5, 𝑅𝑀=1.8, π‘‡π‘Ÿ=8, 𝑇𝑀=4, π‘‡π‘œ=3, and π‘ž=10)
Produce this assignment in a report format, with additional explanations on :
– Why do we linearized the behavior of a Fluid Systems normal operating points ? ( on your own words )
– Explain the assumptions needed to be consider for linearization.