Exam 3 (Version 1) - Solution , Sp'12

We know thus 4 thus c use

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ( )( ) ( )( ) Use the Formula 15 and 16 in the reference sheet: () ( * ( ( *) ( ( *) (34 points) 3. A second order system has the following pole-zero chart (assume unit gain in DC): 5 jω X 2j σ -2 X -2j (a) (12 points) Determine the type of damping this system has (e.g. un-damped, underdamped, critically damped or over-damped) and explain why. (b) (12 points) Determine the percent overshoot, the peak time and the settling time for a unit step response. (c) (10 points) Determine the steady state error. (d) (10 points extra credit) Determine the system response when the numerator is Y(s) = 16s+8 Solution: (a) Since the system has two complex conjugate poles, it is an underdamped system. Alternate method: We compare this to the standard form of a second orde...
View Full Document

Ask a homework question - tutors are online