1 (235)

Prévia do material em texto

Problem 6.50PP
The open-loop transfer function of a unity-feedback system is
G(s) = .
a (« /5+ I)(5 /200+ l)‘
(a) Use Bode plot sketches to design a lead compensator for G(s) so that the closed-loop system 
satisfies the following specifications;
(i) The steady-state error to a unit-ramp reference input is less than 0.01.
(ii) For the dominant closed-loop poles, the damping ratio ^ > 0.4.
(b) Verify and refine your design using Matlab, Including a direct computation of the damping of 
the dominant closed-loop poles.
the dominant closed-loop poles.
Step-by-step solution
step 1 of 2
G (0=-
1Now, K y= — = m
 ̂ 0.01
Now ?0.4 , PM£1004»40"
PM o f G(s) = 6.54'
Let € = 6 '
Additional phase added = 40 ̂-6 .5 4 '+ 6 ' = 39.46'
l - s i n ^ l - s in 39.46* 
l+sin