me375_sp11_hwk12

me375_sp11_hwk12 - ME 375 HOMEWORK #12 Spring 2011 Out:...

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_ 1 _ ME 375 HOMEWORK #12 Spring 2011 Out: Apr. 25 th , 2011 Problems 1 and 2 Due: Friday, April 29 th , 2011 Problem 3 Due: Monday, May. 2 nd , 2011 (for 30 homework bonus points) PROBLEM1 (30%) Consider the following proportional feedback control strategy: Sketch the root locus plot for each of the following P(s) for K greater than, or equal to, zero. Also, answer any additional questions given. (a) ܲ ( ݏ ) = ( ௦ାହ ) . Also, determine the minimum dominant time constant (and corresponding K value) from the root locus plot that you sketch. (b) ܲ ( ݏ ) = ( ௦ା଻ )( ௦ାଽ ) . Also, determine the minimum dominant time constant (and corresponding K value), and the range of K that corresponds to instability. (c) ܲ ( ݏ ) = ( ௦ାଷ ) ( ାଷ௦ାହ ) . Also, determine: (i) the minimum damping ratio (and corresponding K value), and (ii) the minimum dominant time constant (and corresponding K value). (d)
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me375_sp11_hwk12 - ME 375 HOMEWORK #12 Spring 2011 Out:...

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