Major assignment 2

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North Lake College *

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5397

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Electrical Engineering

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Apr 24, 2024

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MECE 7361, System Identification Fall 2020 Professor M. Franchek MECE 7361/6397/5397 Fall 2020 Project 2 Out: 12/3/2020 Due: 12/11/2020 at 10:00 am This homework assignment is to be an individual exercise. Upload your m-file and pdf document in a compressed file (that I can open) to BlackBoard using the file name LastName_FirstName_Project2. Failure to follow the submission instructions will receive a zero for the entire project. You will only get ONE submission attempt on Blackboard. Project 2 (1,400 pts): You are to identify a linear nonparametric model of a system using the H 1 frequency response function (FRF) method AND a parametric modeling of the same system using the least squares estimation (LSE) method. You will compare these models by overlaying the Bode Plot of your parametric model with your nonparametric model. Make sure that I can see the difference between the two using varying linewidths and plot colors on all plots. You will also be comparing the transient response of your parametric model with the data simulated from the MysterySystem p-code using your input. You may only use the basic Matlab commands that I provided in the Capstone Design Example. Here is the m-file I used to execute the model in MysterySystem : In the above figure, I have shown you two different inputs: one for a step input and one for system modeling. You are not required to use the “ rand ” command in Matlab if you would like to use a different input signal such as a Schroeder Wave, Swept Sine or PRBS. Your one submitted m- file must contain detailed comments. The pdf of your results must be presented in the form of a technical document and must be typed including section headings and a coversheet. You will be graded based on the completeness of both. The minimal necessary steps to complete for this project are Step 1. Determine the bandwidth of the system from a step response. You must show your calculations on how you determined the system bandwidth. Provide the details of Step 1 in your pdf document. (200 pts) Step 2. Identify the following data acquisition information: a. low and high frequencies for the H 1 FRF, b. the sampling frequency, window size (number points and length in time (seconds)), c. the window overlap, and d. the length of the experiment (number points and length in time (seconds)). e. Include any other information that is necessary to support your findings. Provide the details of Step 2 in your pdf document. (200 pts)

MECE 7361, System Identification Fall 2020 Professor M. Franchek Step 3. Design an input signal to successfully identify a H 1 FRF from the data generated using MysterySystem . ( NOTE: 7000 Level Students may not use an input signal generated using the “rand” comment but MUST design a PRBS signal) . Provide a plot of H 1 . Label each axis with units and provide a title with your last name and a description. Based on the FRF, what is the order of the model (numerator and denominator). How did you get these values? Provide the details of Step 3 in your pdf document. (400 pts) Step 4. Design a new input signal OR reuse the data from Step 3 to successfully identify a parametric discrete model of the system. Provide this model in transfer function form in your pdf document. Compare the data transient response to the transient response developed from your parametric model. Label each axis with units, use the legend command, and provide a title with your last name and a description. What are your findings? Provide the details of Step 4 in your pdf document. (400 pts) Step 5. Overlay the Bode Plot of your parametric model with the H 1 FRF on a separate plot. Label each axis with units, use the legend command and provide a title with your last name and a description. How did the two plots compare? What are your findings? Provide the details of Step 5 in your pdf document. (200 pts)

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