Given input l(t) is a unit step and r(t) is the saturated ramp function shown below, find output c(t) by the method of Laplace transform using MATLAB, symbolically.
Hint: Write r(t) as the sum of two ramps: a ramp of slope 2 beginning at t=0 and a ramp of slope -2 beginning at t=1s (i.e., delayed by 1 second due to superposition). Now, what are R(s), L(s), and C(s)?
l(t) 4
0
t (sec.)
0
1
t (sec.)
L(s)
Plant
Controller
(s)
S+1