The output in response to a unit step input for a particular continuous control system is c(t)= 1-e-t. What is the delay time Td?
A. 0.36
B. 0.18
C. 0.693
D. 0.289
Answer:C
The output in response to a unit step input for a particular continuous control system is c(t)= 1-e-t. What is the delay time Td?
A. 0.36 B. 0.18 C. 0.693 D. 0.289
Explanation: The output is given as a function of time. The final value of the output is limn->∞c(t)=1; . Hence Td (at 50% of the final value) is the solution of 0.5=1-e-Td, and is equal to ln 2 or 0.693 sec.