Internal Code: MAS5120
System Modelling Assignment
Questions from Assignment 1
Q1) Complete the following bond graphs and write the state space equations. Then, put the SS equations in the matrix form.

Q2) In the system 1 of question 1, find:
- Transfer function of the voltage of the resistor to Se (1)
- The characteristic equation of (1) using Matlab, assuming that the values of all elements are 1
- Frequency response (in complex) of (1) using the above assumption
- Amplitude response of (1) using the above assumption
- Phase response of (1) using the above assumption
- Create Bode plot of (1) using Matlab and the above assumption
Question from Assignment 2
Q1) For this question you will look at some real data collected from the La Trobe Childcare Centre solar generation plant located on the Bundoora campus. Specifically, you will consider 347 measurements of minimum daily temperature measured in degrees Celsius.
(a) Using R, what is the sample mean of the data?
(b) Using R, what is the sample standard deviation of the data?
(c) Create a histogram of the data using R. Make sure you include freq = FALSE in the call to hist since you will be overlaying a density curve soon.
(d) Provide one or two sentences that describes your histogram. As examples, you may highlight the basic shape of the histogram, whether the data is symmetric or skewed and the range of values etc.
(e) Now, overlay a normal probability density curve using the sample mean and standard deviation you estimated earlier. Does this normal density do a good job of describing the data? Explain.
