Unformatted text preview: s
= .
. Characteristic equation
• From the above transfer function, one can obtain the characteristic equation
using the denominator.
• The characteristic equation is used to solve the root of a second order
system
• The root can determine the speed of response and damping 60 5.7 60 = 2ξ 5.7 0 0 • There are three cases for the roots:
 Case 1 ξ  Case 2 ξ  Case 3 ξ ξ 1 when ξ >1 called over damped
when ξ =1 called critical damped 1 ξ when ξ 1 called underdamped  How does the system respond to a unit...
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 Fall '13
 steadystate error, Proportional control

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