Question S) Compute the initial and final value of the system using the properties and verify...
(S3)(s4) The response of the system is given by Y(s) s(s+2)(2s 1) Find the initial value of the system output.
Given the system transfer f unction: G, (s) -2S+2) S+4 a) Plot the response y(t) for a step input of amplitude 4 for t=[0:0.01:21 b) Verify that the plot is correct using the initial and final value theorems. o) Repeat steps q.and b for G, (s)0S(S + 4). Remember, in input is a step of c) Repeat steps a and b for G2 (S) S+2 amplitude 4.
A linear system is governed by the given initial value problem. Find the transfer function H(s) for the system and the impulse response function h(t) and give a formula for the solution to the initial value problem. y" - 6y' +34y = g(t); y(O)= 0, y' (O) = 5 Find the transfer function. H(s) = Use the convolution theorem to obtain a formula for the solution to the given initial value problem, where g(t) is piecewise continuous on (0,00) and...
s +1.3 For the following questions, suppose G(s)=3x (s +1.4)(s? +2s +1.49) 3. Determine the system impulse response in time domain. (30 marks) 4. Draw its root locus and comment on system stability. (60 marks) 5. If the system can be simplified using the system dominant pole technique into Gi(s) below, obtain the system response for a unit step input, and estimate the overshot and settling time. (50 marks) 3.9 3x(0+1.3) G(S)= (0+1.4)(s? + 25 +1.49) 1.4(s2 + 25 +1.49)
Q4. 1 2 3 G 10 pts. Use MATLAB and plot the step response of the following systems G3 2s+1 figure. Gy on the same 2s+1 2s+1 Explain the similarities (at least 1) and differences (at least 1) between these responses. E_ figure. G, G 3 10 pts. Use MATLAB and plot the impulse response of the following systems Explain the similarities and differences between these responses. on the same 25+1 10 pts. Find the time constant (Te), pole(s), DC...
Q.4) [25 Marks] a) [15] Consider a CT LTI system described by the following differential equation (assume zero initial conditions): dºy(t) _6dy(t) + 3 dy(t) = 2x(6) dt3-6 dt2 +8 dt = 2x(t) [5] Using Laplace transform and its properties determine the transfer function H(s) [5] Draw the pole-zero diagram of H(s) (5) Write down all possible Region-of-Convergence (ROC) for the H(s) (iii) [5] white b) (10) Determine the signal x(t) ( assume it to be right-sided signal) when the...
7.6.9 Question Help Express the function below using window and step functions and compute its Laplace transform. 10 0 2 8 10 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. Express g(t) using window and step functions. Choose the correct answer below. O A. g(t)2)+ (7t- 14)IT2.3(t)+(-7t+28)II34(t)+(t-4) O B. g(t) = (7-2)u(t-2) + (-7t + 4)u(t-4) O c. g(t) 714)I124()+(-7t+28)u(t-3)
7.6.9 Question Help Express the function below using...
2. (10 points each) a. Give the system type, then calculate, by hand, the error constants (Kp, K, Ka and steady state error amounts for the following transfer functions b. Use MATLAB to give the step response of each transfer function and verify the estep(0) value you calculated in part a. 12 s+15s G(s) 15 (s2 +20s +10)s3
10. Using 8's complement arithmetic compute the value of 6278-675g and write your final answer in decimal
Question 1: a) Use MATLAB, plot the step repose for the following transfer functions. 48 G(s)- (8+6)(s+8) G(s)- 52 +2s + 18 18 Question 2: a) Using MATLAB, plot Bode log-magnitude and phase plot of (s+2)(8+5) G(S) - (s +3) ($2+2s +20) Question 3: Using MATLAB Sketch the root locus of the unity feedback system shown in the figure below: a) Give the values for all critical points of interest. b) Id the system ever unstable? If so, for what...