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A system has a transfer function s+3 H(s) = Find the steady-state output response for each...
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)...
(3) For the system modeled by with output defined as a) Find the system's transfer function(s) E(t) +3z(t) +2x(t)-Sult) b) Find the system's pole(s) (if any) and zero(s) (if any) c) Find n(t →x) if u(t)-G 120) 0 t<0 e) Find the frequency response function corresponding to output y 1) Find steady-state ya(t) if u(t) 3sin(21)
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)
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
Find the steady state error constants and the steady-state error response for the digital control system shown below, if the inputs are: a. Unit Step, u(t) b. Unit Ramp, t u(t) c. Unit Parabola, 0.5t2u(t) 2. R(s) + C(s) s(s 2) T=0.1
14. An LTI system has the following transfer function, determine the output system response y(t) due to the input x(t) e u(t) H(s) s+2 S+7s+12 Answer: y(t)
For the transfer function G(s): 50 G (s) = s2 +55+25 a) Find the steady-state response to a unit step input. b) Find the steady state error. c) Sketch the time response.
3. (10 points) Given the following the input function f(t). transfer function, find the steady-state response ?..(t) to function, ng Y (s) f(t) = 6 sin(9t)
1) Given the unit impulse response of a LTI system, find its transfer function H(s)-B(s)/A(s) in canonical form and ROC using the definition of Laplace transform and state the stability and causality with a specific reason: e. he(t)-600e-90t[u(t)-u(t-2)] f. h(t)-ha(0.2t) and show that hr(s)-(1/0.2)H.(s/0.2) g. A practical Butterworth filter, he(t)- 10198e3214tsin(3214tju(t) (Tip: sin()(el h. hn(t)-600te-30tu(t) Tip: integral by parts J udv = uv-J val) e-/2i))
Question #3 (25 points): A unity feedback system has the following forward transfer function: K(s+20)(s +30) G(S) = s(s+25) (s + 35) Find using Matlab: a) The static error constants Kp, Kv and Ka if the inputs are 15u(t), 15tu(t), and 15t u(t). [15 pts b) The steady-state error for the following inputs: 15u(t), 15tu(t), and 15tu(t). [10 pts Question #3 (25 points): A unity feedback system has the following forward transfer function: K(s+20)(s +30) G(S) = s(s+25) (s +...