Solution)
The Code used to create the step plot of the given system is as follows:
num = [1 1]; %Assigning the numerator
den = conv([1 2],[1 5 8]); %Assigning the denominator
system=tf(num,den); %Creating the transfer function of the given
system
step(system); % Plotting the Step response of the system
The step response is as follows:
Use MATLAB to find the step response (plot) of a system with the following transfer function:...
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...
A classic second order system has transfer function the undamped natural frequency to be 10 rad/s throughout this exercise. Note, for the following MATLAB simulations you need to use format long defined at the top of the program to get full precision. a) Use MATLAB to plot the step response for three damping factors of ζ =0.5,1 and 1.5 respectively. step(g,tfinal)_ where tfinal is the max time you need to make it 2 secs and g is the b) Takeζ...
Please do part C only, thank you. Exercise 1 (Transfer Function Analysis) MATLAB provides numerous commands for working with polynomials, ratios of polynomials, partial fraction expansions and transfer functions: see, for example, the commands roots, poly, conv, residue, zpk and tf (a) Use MATLAB to gener ate the continuous-time transfer function H5+15)( +26(s+72) s(s +56)2(s2 +5s +30) H(s) displaying the result in two forms: as (i) the given ratio of factors and (ii) a ratio of two polynomials. (b) Use...
Problem 2. Using the LTI Viewer tool in MATLAB, find the peak response, percent overshoot, settling time, rise time, and steady state of the step response of the system given with the closed loop transfer function: a) G(s)- (s + 3)(s2 + 3s + 20) , 12 b) G(s) = s +3s2+5s +5 3s2+5s+5 Hint: Type "ltiview" in command window of the MATLAB)
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...
5. (30) Find the unit step response of the system where its transfer function is defined as s + 10 G(s) = 20 (s2 + 165 + 100)(s + 1)(s + 2) Sketch the time response of this system roughly.
7 11. If a particular network is described by transfer function H(s), use MATLAB to plot the magnitude and phase Bode plot for H(s) equal to (a) 300 (s2 7s +7 s(5s +8s(2s + 4) 7 11. If a particular network is described by transfer function H(s), use MATLAB to plot the magnitude and phase Bode plot for H(s) equal to (a) 300 (s2 7s +7 s(5s +8s(2s + 4)
0.1311(22 2z1 5. The transfer function of a system is H(z) = z2-0.74780.2722 a) Find the frequency response function of the system b) Let xn] 1 cos(0.2nt)+cos(0.45n7). Find the steady-state response. Use Matlab c) Plot the magnitude and phase response using Matlab 0.1311(22 2z1 5. The transfer function of a system is H(z) = z2-0.74780.2722 a) Find the frequency response function of the system b) Let xn] 1 cos(0.2nt)+cos(0.45n7). Find the steady-state response. Use Matlab c) Plot the magnitude and...
1. Use the Routh-Hurwitz test to determine if the system described by the following transfer function is stable. If the system is unstable, how many poles are outside the LHP? Use Matlab to check your answers. C() 10-8) R(s) s2 +7s +28 2. Repeat problem 1) above for the system with transfer function C (s) R(5s +Bs+ 40 s2 +2s+4 3. Use the Routh-Hurwitz test to determine if the system described by the following characteristic equation is stable. If the...
you can use matlab to solve 1. Given the plant model differential equation: y" + 6y'+ 12y 12u(t) Find: a) G(s) continuous transfer function he step response of the unity feedback system c) The appropriate sampling time d) G(z) pulse transfer function e) Continuous State Space, A, B, C, D f) Discrete State Space, A, B, C, D 1. Given the plant model differential equation: y" + 6y'+ 12y 12u(t) Find: a) G(s) continuous transfer function he step response of...