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332-2Solutions

332-2Solutions - f rst-column sign changes rhpcount in the...

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ECE 332 Homework #2 1) Draw the Nyquist and Bode plots for each of the following rational functions. a) 1 s 3 +3 s 2 +2 s b) s +1 s 4 +5 s 3 +6 s 2 c) s 2 +1 s 2 s d) s 3 + 3 s 2 + 2 s 2) Determine whether each of the following is BIBO stable. a) s +1 s 2 1 b) s 1 s 2 1 c) s +1 s 2 +2 s +1 3) Determine whether each of the following is BIBO stable. a) s 2 2 s +2 s 4 +4 s 3 +8 s 2 +8 s +4 b) s 2 2 s +2 s 5 + s 4 + s 3 + 1 2 s 2 + s +9 4) For each of the following, determine whether the damping constant is greater than unity. a) s s 2 +2 s b) s +2 s 2 +4 s +4 c) s 2 2 s +2 s 5 + s 4 + s 3 + 1 2 s 2 + s +9 5) In MATLAB, type n = 2; hw 25 to construct the Routh table for a randomly chosen polynomial of degree 2 . The program returns the number of

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Unformatted text preview: f rst-column sign changes rhpcount in the table along with the amount of time htime required to compute rhpcount . For comparison, the program also computes the roots of the polynomial (not displayed) and returns the amount of time rtime required to do so. Increase the value of n and notice how the ratio changes. Continue to increase n until computation time becomes intolerable. How long does it take to compute f rst-column sign changes in this case?...
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