QI. The closed loop transfer function for a control system is: Y(3) T(s) R(S) as? + bs + c Assume the input signal r(t)

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Qi The Closed Loop Transfer Function For A Control System Is Y 3 T S R S As Bs C Assume The Input Signal R T 1 (47.96 KiB) Viewed 59 times

QI. The closed loop transfer function for a control system is: Y(3) T(s) R(S) as? + bs + c Assume the input signal r(t) = u(t) (unit step) and a=1, b=12, c-400 a. Determine the output signal Y(s) and with inverse Laplace transform determine the output signal y(t). Which part of the output signal y(t) is the transient part and which part is the steady state part? [4 marks] Determine the value y(0) and its steady state value y(t) What kind of response is this? (over damp critical damp/underdamp) and explain briefly why is it so? [3 marks] b. c. d. Assume the input signal r(t) = 5 uſt) and a=1, b=30, c = 225 Determine the output signal Y(s) and with aid of inverse Laplace transform determine the output signal y(t). Which part of the output signal y(t) is the transient part and which part is the steady state part? [4 marks] Determine the steady state value y(t) and what kind of response is this? (under- damp/over-damp/critical-damp) and explain briefly why is it so? [3 marks] Assume the input signal r(t) = u(t) and a=1, b=0, c=625 Determine the output signal Y(s) and thereafter determine the output signal y(t)? Determine the steady state value y(t) and what kind of response is this? (unstable/marginal stable/ fully stable) and explain briefly why is this so? [6 marks] e.