1. (4 pts) Consider the system whose transfer function is YS) – H(S) = Tos +1...
Problem 3 (25) Consider the unity-feedback system with the open-loop transfer function: 10 G(s) = 1 Obtain the steady-state output of the system when it is subjected to each of the following inputs: a)r(t) sin(t30*) b) r(t) 2cos(2t - 45) c) r(t) sin(t+30") + 2cos(2t -45) Problem 3 (25) Consider the unity-feedback system with the open-loop transfer function: 10 G(s) = 1 Obtain the steady-state output of the system when it is subjected to each of the following inputs: a)r(t)...
5) (10 pts) The transfer function of a system is given by: S +1 H(s) = $3+ 9s2 + 23s + 15 What is the steady state error of this system when the input is unit step function?
For a control system, its transfer function from the input to the output is H(s) = 4/ (s2 + 2s + 2 ) if the input is r(t) = u(t), the steady-state tracking error is . a. 0 b. 1. c. 2 d. −1 e. None
S+2 =s%+1)-(s + 4) subjected to an 4- Given the transfer function G(s) input of 2 sin(t). Obtain the output.
= 2s +1 Consider the continuous-time LTI causal system with Transfer function H(s) $? + 5s +6' a) Compute the ROC for H(s). (3 pts) b) Discuss the BIBO stability of the system. (2pts) c) Compute the system output when the input is x(t) = 8(t) (Dirac's delta). (5 pts)
State space of transfer function 10. Consider the following input-output transfer function. U(s) s3 6s 11s +4 Draw the CCF state diagram of the system. Obtain the dynamic equations of the system in CCF. i.i Obtain the dynamic equations of the system in odr. 10. Consider the following input-output transfer function. U(s) s3 6s 11s +4 Draw the CCF state diagram of the system. Obtain the dynamic equations of the system in CCF. i.i Obtain the dynamic equations of the...
4.8.2 For an LTIC system described by the transfer function H(s) = + 2) find the steady-state system response to a. 10u(t) b. cos (2+ + 60°) (1) c. sin (3 - 45")u(t) d. e3 u(t)
uestion Two ) Consider a second order system whose transfer function, H(s), is given by: s+5 A(s) = (s+5):42 (0) Find the poles of H(s) and comment on whether you think the system is stable. (i) Using Laplace tables write out the system's response, h (t) and draw a rough (iii) An input voltage, Vin(t) = 29 (t2 0), was passed through the second order system. Taking V (s)- 2 and noting that Voufs) - Vn(s)H(s), it was found the...
2. 25 pts Consider the system with transfer function G(s) = 10/(2 + 8s+25). and input R(s) = 1/s. a. (5 pts) Find the steady state output coo). b. (5 pts) Find the maximum value Mpt for c(t). c. (5 pts) Find the rise time and peak time. d. (5 pts) Find the poles of G(s).
Consider a single input, single output system with transfer function 10 H(s)- s+10s +25s +100 Obtain a state-space model in observer canonical form for the system, and design a full state estimator for desired eigenvalues of -10.-20 and-30. What are the values of the estimator gain matrix? Consider a single input, single output system with transfer function 10 H(s)- s+10s +25s +100 Obtain a state-space model in observer canonical form for the system, and design a full state estimator for...