State Space ID

Repeat the process as in Problem $1,$ but this time identify a state space model.a$)$ Use the system identification app to create a state space model using the datawithout noise. You might have to turn off the Allow unstable models checkboxunder the Estimation Options section of the GUI and set the Focus to Simulation.b$)$ Compare the poles and zeros of the identified model with the true values.c$)$ Export the model and use the Idmodel block to import the identified state spacesystem into Simulink. Compare the time histories of true vs identified.d$)$ Now repeat steps a$),$ b$),$ and c$)$ when using the output which has the random noiseadded. Feel free to experiment with the different tool settings to try to make themodel as good as you can get it$.$e$)$ What does noise do to the problem, i$.$e$.$ does it help or hurt?