MIT2_017JF09_p31

MIT2_017JF09_p31 - 31 IDENTIFICATION OF A RESPONSE...

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31 IDENTIFICATION OF A RESPONSE AMPLITUDE OPERATOR FROM DATA: REDUX 112 31 Identification of a Response Amplitude Operator from Data: Redux The problem here is almost exactly the same as in HW5, for which you have the full solution. The only differences are: Load the file homework7.dat from course website. The frequency range of interest is now up to 4 rad/s , whereas before it was 2 rad/s . The noise levels on u and y are lower. Just looking at the input and output time plots, you can see that the dynamical system at work here is different. However, it is still second-order, and definitely does not have a zero: y ±± + by ± + cy = ku describes it. Your task is (again) to find the best fits for [ b, c, k ] based on the RAO plot, list the transfer function, and show the step response. See the attached plots, made from virtually the same code as in HW5. The generating transfer function is G ( )=2 / ( ω 2 + ) , [ b, c, k ]= [1 , 0 , 2] , and the trial fit shown is G
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MIT2_017JF09_p31 - 31 IDENTIFICATION OF A RESPONSE...

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