exam2 - on the figure below . exam2Fall10 Page 3 Problem 4:...

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Problem 1: Consider the negative unity feedback interconnection shown below Suppose A. and Where and are real constants. Find the conditions on and such that the interconnection is stable. Clearly state all the results used to arrive at the conclusion Suppose and B. (i) Find the transfer function from r to y. Is this transfer function stable? (ii) State whether the feedback interconnection is stable. Provide reasons for your answer (iii) Comment on the steady state output y(t) when r(t)=u(t) where u(t) is a unit step input. (iv) Provide a bounded input signal in the figure above such that an internal signal goes unbounded with time. exam2Fall10 Page 1
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Problem 2 exam2Fall10 Page 2
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Problem 3. Let A. Identify the break frequencies and draw the asymptotes of the Bode plot on the figure below. Clearly indicate the slopes of the asymptotes. B. Plot the asymptotes of the bode plot of
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Unformatted text preview: on the figure below . exam2Fall10 Page 3 Problem 4: From the Bode plot below identify the break frequencies and the transfer function that generates the following bode plot. exam2Fall10 Page 4 Problem 5 : The closed-loop frequency response of a second order prototype system with transfer function G is shown in the Figure below where (i) From the frequency response obtain the parameters of the transfer function G (ii) Indicate on the complex plane the location of the poles of the transfer function. Indicate on the figure what parameters determine the settling time, and fraction overshoot M p . (iii) Sketch the step response of the system clearly indicating the rise time, the 2% settling time, the peak time, and the steady state value. The step response of G is given by Some other useful expressions are exam2Fall10 Page 5...
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exam2 - on the figure below . exam2Fall10 Page 3 Problem 4:...

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