hwk08 - ME 375 HOMEWORK#8 Out March 10th 2010 Spring 2010...

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ME 375 HOMEWORK #8 Spring 2010 Out: March. 10 th , 2010 Due: March 17 th , 2010 PROBLEM 1 : (30%) (a) Sketch the complex plane and shade the region for system poles locations corresponding to a damping ratio greater than 0.75 (b) Sketch the complex plane and shade the region for system poles locations corresponding to a 2% settling time less than 0.5 seconds (c) Sketch the complex plane and shade the region for system poles locations corresponding, simultaneously, to a damping ratio greater than 0.75 and a 2% settling time less than 0.5 seconds (d) Sketch the possible pole locations for a 2 nd order system with a natural frequency of 20 rads/second and positive damping ratio. Directly indicate the pole locations for damping ratios of 0, 0.5, 0.707, 1 and 2. PROBLEM 2 (30%) Sketch the Bode magnitude and phase diagrams of the following transfer functions: (a) 3 ( ) 4 2 G s s = + (b) 80( 1) ( ) ( 5)( 20) s G s s s + = + + Label the break frequencies. Compare your plots with those generated by MATLAB.
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