A system exhibits the following behavior: (a) Using the 'c2d' function in MATLAB, determine the discrete representation of the transfer function. What did you use for "T"? How did you determine that? (b) Once you have the discrete transfer function, write the discrete representation for the system in terms of y and u. (c) Rewrite the expression you have in (b) to represent the current time response, y, as a function of past values of y and u Deliverables: In your own handwriting: Write out how the steps you took to determine the inputs to the 'c2d function in MATLAB for item(a) Computer printout of the MATLAB code and results. In your own handwriting: Write out the discrete representation expressions for the system for items (b) and (c) A system exhibits the following behavior: (a) Using the 'c2d' function in MATLAB, determine the discrete representation of the transfer function. What did you use for "T"? How did you determine that? (b) Once you have the discrete transfer function, write the discrete representation for the system in terms of y and u. (c) Rewrite the expression you have in (b) to represent the current time response, y, as a function of past values of y and u Deliverables: In your own handwriting: Write out how the steps you took to determine the inputs to the 'c2d function in MATLAB for item(a) Computer printout of the MATLAB code and results. In your own handwriting: Write out the discrete representation expressions for the system for items (b) and (c)