Exercise 6: For the model 2 𝑥 ̇+ 𝑥=10𝑓(𝑡),
If 𝑥(0)=0 and 𝑓(𝑡) is a unit step, what is the steady state response 𝑥_𝑠𝑠?
b. How long does it take before 98% of the difference between 𝑥(0) and 𝑥_𝑠𝑠 is eliminated?
c. Repeat part (a) with a different initial condition, 𝑥(0)=5 Will changing the initial condition change the steady state or time constant?
d. Repeat part (a) with 𝑥(0)=0 and f(𝑡)=20 𝑢_𝑠 (𝑡) . Will changing the input change the steady state or time constant?
19 сен 2024
