[SHORT AN Q.3. Write the final form of answer only for all the following cases: Consider...
0.12S [10 marks] 1(e) Determine the input to the system when the output of the system is [10 marks] 1(f) It is required to adjust the gain and the feedback of the states in the companion form state-space representation so that the impulse response of the new system with the adjusted gain and feedback is (i) Determine the required transfer function of the new system (i) Form the companion form state-space representation for the new (ii) From the results in...
Question 3 (30 marks) Consider the digital filter structure shown in the below figure: x[n yIn] 3 (a) Transform the given block diagram to the transposed direct form II one. 2 (b) Determine the difference-equation representation of the system 4 (c) Find the transfer function for this causal filter and state the pole-zero pattern (d) Determine the impulse response of the system 2 (e) For what values of k is the system stable? (f) Determine yln if k 1 and...
HI, PLEASE ANSWER ALL PARTS AND PLEASE SHOW ALL WORKINGS STEP BY STEP. THANK YOU. a) Draw the block diagram representation of the discrete-time system Yk+2+ Yk+1 +0.5yk = Ux (8 Marks) b) Find the impulse response of the system with the z transfer function; Z G(z) = 22 + 3z + 2 c) Use z-transforms to solve the following difference equation; 6Yk+2 + Yk+1 - Yx = 3 subject to yo = y1 = 0
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...
Control Assignment 2017/18 In order to complete this assignment you will have to consider a system which is unique to you. Th parameters of the system are derived from your student mumber and so if you use the wrong mumber you will get the wrong answers and will lose marks. Use the last two digits of your student mumber where Ki-last but_one_digit+I and K-last digit+1. Thus the mumber 201656789 would give K9 and K 10. When you submit your report,...
Problem 3. Consider the following difference equation. 2y[n] + 4y[n – 1] + 10y[n – 2] = u[n] - u[n – 1] – Zu[n – 2] (a) Find the transfer function, H(z). (b) Find the general form of impulse response, h(t). (Do not need to evaluate the actual constants. Leave the constants as ki, k2, etc. The answer should be in its final form without the complex numbers.) (c) Find the general form of step response, y(t). (Do not need...
HI, PLEASE ANSWER ALL PARTS AND PLEASE SHOW ALL WORKINGS STEP BY STEP. THANK YOU. a) Show from first principles that the Laplace transform of the function (0)=1, a 20 is f(3) = Make a note of any conditions imposed on the transform variable "s" to ensure the transform exists. (8 Marks) b) Find, using the appropriate theorem, the Laplace transform of a function f(t): f(t) = e-3t.sin(4t) OR Find the inverse Laplace transform of the following: ses f(s) =...
thx!!!! Question 3 (5.5 marks) a) Find the transfer function of the electrical circuit shown in Figure 1. What is the value of the steady state gain(s), if any? b) If R1 1, R2 = 2n, C\ = 2- 10-3F, C 1-10-3F, calculate the time constants of the system (if any). c) Find the initial and final values of the unit impulse response of the circuit d) Derive the time-domain expression of the output if the input is the function...
5. Consider the digital filter in Figure 3. (a) Assuming all delay units are cleared, find the transfer function for the filter (b) Write the difference equation for the filter. (c) Find the impulse response for this filter. (d) Now assume that delay unit 1 (D1) initially has a value 1 stored and the other delay units are cleared. Find 2 D3 4 D2 2 DS Figure 3: Question 5 5. Consider the digital filter in Figure 3. (a) Assuming...
3) Consider the system depicted below xz Input: F. Output: x Assume that all initial conditions are zero. a) Derive mathematical model of the system b Find unit step response c) Find the transfer function T(s) X2(s)/Fs) d) What is the final value of the output be. limx)-7) for F)- 4) Find the transfer function state space R(s) for each of the following sytems represented in a) 10 y-[1 0 0 b) 2 -3-8 3 -5 y-1 3 6 c)...