1- Compute the discrete equivalent (by hand) using Tustin's Method for the continuous controller C(s). Let...
Problem 1. Compute the discrete equivalent (by hand) using Backward Rectangular Rule and the associated difference equation for the continuous controller C(s). Let T, = 0.05 seconds s+2 c(s) = 55 + 10
2. Given a continuous control system in the following figure, the plant G(o)d the controller C(s)-41.7(s +4.41) s +18.4 8(s +2) and AX41.7s+4.41) s(s+2) a). Find the velocity tracking error constant for this continuous control system. b). Now assuming that a design by emulation approach and a zero-order holde implement the continuous controlle, find the velocity tracking error conste function analysis when applying Euler's and Tustin's methods respectively period T affect the velocity tracking error constant ? What is your...
Problem 10. If a continuous-time system's transfer function is given by G[s] = (3+3) P (2+5.55+25)(3+2and one wants to control the system with a discrete-time controller without changing the system's bandwidth, what is a reasonable sample period? 1. T = 0.001 seconds 2. T=0.1 seconds 3. T = 0.4 seconds 4. T=0.04 seconds 3. None of the above.
Problem 11: Discretization of a Continuous-Time Filter Consider the continuous-time system with transfer function Hc(s) A discrete-time approximation to the system using the [16, -8 two's complement representation scheme is to be designed (A) Using Tustin's approximation, determine a discrete-time approximation with transfer function (B) Determine the poles and zeroes of Hd,Tustin(z), noting that the poles are complex conjugates (C) Plot the frequency responses of Hd,Tustin (2) and of Hd.eract (z) Hd, Tustin (z) using the sampling time 1 ms....
My question is Problem 11.4-8 Thanks for your help! 11.4-8. Consider the third-order continuous-time LTI system * = Ax + Bu y = Cx 102 with A = To 0 Lo 2 0 -8 07 3 , B = -6] 0 , and C = [1 0 0]. Using Q = [800] 0 6 0, LO 0 4 R = 1.5 (a) First design a LQ controller for this continuous time-system using the MATLAB function iqr. Let the optimal controller...
# and #3 1) Determine whether the random variable described is discrete or continuous. The number of minutes you must wait in line at the grocery store A) continuous B) discrete 2) Determine whether the random variable described is discrete or continuous The total value of a set of coins A) continuous B) discrete 3) Determine whether the table represents a discrete probability distribution. 3 0.3 4 0.05 5 0.45 6 0.2 A) Yes B)No 4) Determine whether the table...
-lot halt)= lo e uct) 1- Let T= sec and let He(s) = Stlo be an analog filter a- Find hcn),. design invariance' discrete time filter using impulse b. Find Hce) using bilinear trans tormation, it shouldbe one of the following (circle one) - |- 2-1 z-0-11 C- Using bilnear transtormation, where does the continuous time frequency sz=lo maps to tim'e freguencg w: w = 10,', /s, I, T discrete circle on e: %3D
Find the output y[n] using the discrete time domain method by hand: With: A-f ), B-M, c = [O 11, D = [1] and q(0)-A and x[n] = u[n] 2 01 Find the output y[n] using the discrete time domain method by hand: With: A-f ), B-M, c = [O 11, D = [1] and q(0)-A and x[n] = u[n] 2 01
Find the digital equivalent of G(s) = (s−1)/(s(s+1)) using the step response equivalent with T = 0.1 sec.
Suppose, we let g(t) of problem 1 be periodic (i.e., g(t) is 9T (t) according to the notation using). To be precise let A 4Volts, let the pulse width T-0.1 seconds and let the 0.2 seconds. Find its continuous Fourier transform. Hint: gr. (t) is now that we are fundamental period To periodic and hence you can first find the Fourier series coefficients (C,) and relate those coefficients to the continuous Fourier transform of a periodic signal. Accurately sketch the...