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problem 3 mechatronics solve all clearly please...

Question: problem 3 mechatronics solve all clearly please...

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Problem 3 mechatronics solve all clearly please

EME 4654 Mechatronics Homework 01 Problem 3: You have been hired as a mechatronics engineer at a Chef Boyardee Ravioli factory. On your first day, you are told that they are having problems with the Pasta Magix Ravioli Rolling Machine and you are expected to fix it. Management has determined that the problem is with the estimate of the time delay between a change in the pneumatic thickness controller and the thickness measurement that is used in the ravioli roller controller and has arranged to have data supplied to you so you can come up with a better estimate of the time delay. A meeting has been scheduled for next Wednesday where you will present your results. You are expected to present: An equation (model) for an estimated time delay Explanation of how the model was developed Conclusions about the suitability of your estimate Sufficient graphics /statistics/analysis to support your conclusion Recommendations . . . Ravioli Roller Motor Thickness Temperature Dela Ravioli Thickness measurement feeds back to the Pneumatic controller Pneumatic

EME 4654 Mechatronics Homework 01 The machine has a variable speed motor to drive the dough through the rollers and a hydraulic controller on one roller that is used to control the thickness of the final product. Specifications Motor Speed: 150 and 600 RPM Pneumatic controller: 0 to 750 PSI . Temperature Sensor: 0 to 250 deg. F range Thickness Measurement: 0 to 0.25 inches Management instructed the machine operator to make a change to the position of the thickness controller and measure the time between the commanded change and a change in the measured thickness at various motor speeds and provide you with the results. To assist you in your analysis some useful examples of MATLAB scripts have been provided: poly curve fit.m Example of using the polyfit and polyval commands to determine the coefficients of a polynomial that best fits the supplied independent/dependent data. Type: help polyfit and help polyfit to get help on these functions at the Matlab prompt Regression_Example.m Example of using the backslash () operator (Matrix left divide) to determine the coefficients of an arbitrary set of independent variables (states) that best fit the dependent data Type help mldivide to get help on this function r squared m Function called by the above functions to calculate the R Squared statistic- a measure of how much of the variation in the dependent variable is explained by the regression. This function needs to be unzipped and in the same directory as the above functions for them to work properly

EME 4654 Mechatronics Homework 01 Problem 3 Solution Steps: 1. What are the inputs to this system? What is the output of this system? 2. Are motor speed and delay correlated? What about temperature and delay? What about time and delay? What about temperature and motor speed? In light of these changing inputs, is this a good experimental design? 3. Assume that only motor speed and delay are important. Using MATLAB, perform a linear regression relating motor speed (input) to delay (output). Determine the R2 value for the regression. Hint: modify the polyfit.m example 4. Using MATLAB, plot the actual data points and the regression. Include a legend. Label your axes, including units. The following MATLAB commands will be useful: plot xlabel, ylabel, legend 5. Using your results from 3 and 4, is this a good fit to the data? Consider the entire operating range! What are the estimated time delays at the maximum and minimum motor speeds? What recommendations can you make based on this linear regression? 6. Repeat 3, 4, and 5 with a 2norder polynomial. Based on the operating conditions, is this a good fit? What are the estimated time delays at the maximum and minimum motor speeds? Is this an improvement over a linear fit within the operating conditions? 7. Given that the distance between the rollers and sensor is constant, write a mathematical expression that relates velocity and time required for the dough to travel between the rollers and sensor. Use this to relate delay to motor speed using unknown (to be determined) constants 8. Repeat 3, 4 and 5 for your model from 7. Based on the operating conditions, is this a good fit? What are the estimated time delays at the maximum and minimum motor speeds? Is this an improvement over a linear fit within the operating conditions?

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