ME 375 HOMEWORK #12 Fall 2009 Out: Dec. 2, 2009 Due: Dec. 9, 2009 PROBLEM 1: (40%) Generate the root locus for 0K≥in the characteristic equation 1()0KL s+=and the listed choices for ( )Ls. You may use the MATLAB rlocuscommand to generate these. In each case, indicate the roots when K= 0 and when Kapproaches infinity. Add arrowheads to the plots to clearly indicate the direction of increasing gain K. Also, analytically determine the value of Kwhen the roots cross the imaginary axis (if applicable) (Hint: set s= jωand solve for
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