HW 4_S - Homework Set 4 — E1331 1 Fall 2007 Time...

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Unformatted text preview: Homework Set 4 — E1331 1, Fall 2007 Time Response (Ch. 4) Due Friday, Oct. 26 I“ “5’ Block Diagram for all problems Problem 1 Given: R(s) = l , G(s) : 25 s S + 25 Find: 1. C(t) (using PFE= inverse Laplace), 1:, T,, T5 2. Plot the response of C(t) in Matlab® for t=0 to a bit past the settling time (see lab 1 for plotting help if necessary). ' 3. Using the Matlab® step function, plot the response. a. Right click on the plot to bring up a menu b. Display the settling time and rise time — click on dots to display time. Problem 2 Given the plot below and assuming a first order model, determine the transfer function via the experimental method in the text. Ampmude Tm 1m] Problem 6 Given the plot below and assuming a second order model, determine the transfer function via the experimental method in the text. Slap Response Amplitude T‘metsec) Problem 7 For the circuit shown below, find C to have a settling time of 0.01 ms given R = 4 k9. 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