step response using matlab:
clc;
clear all;
close all;
s=tf('s');% definition of transfer function
H=100/(s^3+32*s^2+260*s+400); % original transfer function
T=0.5/(s+2); % reduced transfer function
step(H,T);grid
legend('original system','reduced system')
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100 H(s) 2. For the transfer function: s3+32s2260s+400 a) create a reduced order model by removing...
3. Consider a second order system with transfer fuction P(s) = 2-B2 with a = 4000 and ß = 25. Design a compensator assuming unity feedback for the gain and phase margins you apriori specify (try to achieve as high as possible). Compute the poles and zeros of the closed-loor system. Plot the Nyquist plot of your compensator and verify that the Nyquist criterion is satisfied. Plot the step response of the closed-loop system and specify maximum overshoot, peak time,...
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...
Please solve these using matlab Problem 1 Given the transfer functions e S +5 (a) C(s) 20 S + 20 (b) Use the step function to determine the time constant and rise time for each system. Note: estimate these values from the plot and do not use the stepinfo function. Problem 2 Given the transfer function 100 G(S) = 22 +45 + 25 a. Use the plot resulting from the step function in MATLAB to determine the percent overshoot, settling...
PROBLEM 1 Consider the transfer function T(S) =s5 +2s4 + 2s3 + 4s2 + s + 2 a) Using the Routh-Hurwitz method, determine whether the system is stable. If it is not stable, how many poles are in the right-half plane? b) Using MATLAB, compute the poles of T(s) and verify the result in part a) c) Plot the unit step response and discuss the results. (Report should include: Code, Figure 1.Unit step response, answers and conclusion) PROBLEM 1 Consider...
5 -22-1 (12) Assume a Transfer Function Transfer Fune tion H (z) = 1.8z1 + 1.07 z"2 - 0.21z-3 1 Use the Matlab command zplane to make Matlab plot the pole zero diagram of He) superimpose a grid, and create a title containing your name and the problem number. 5 -22-1 (12) Assume a Transfer Function Transfer Fune tion H (z) = 1.8z1 + 1.07 z"2 - 0.21z-3 1 Use the Matlab command zplane to make Matlab plot the pole...
only b and c please 1 Consider the system whose transfer function is given by: G(S) == (2s +1)(s+3) unction is given by: G(s) - (a) Use the root-locus design methodology to design a lead compensator that will provide a closed-loop damping 5 =0.4 and a natural frequency on =9 rad/sec. The general transfer function for lead compensation is given by D(5)=K (977), p>z, 2=2 (b) Use MATLAB to plot the root locus of the feed-forward transfer function, D(s)*G(s), and...
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...
Q3 (20 pts, 5pts/subpart) -- Constant zeta between systems (a) Create three 2nd-order systems (sys7, sys8, sys9) that have no zeros, each with zeta=0.150, and the real part of the poles (sigma) = -0.2, -0.4, and -0.6, respectively for each system. Echo out each system so the transfer function can be observed (that is, just remove the semi-colon at the end of the zpk() function). Ensure the system gain is normalized to one. (b) Create the pzmap for the above...
2) Let a system with an LTI model be 100 G(s) 2s2 + 24s + 200 a) Determine the zeros, poles, the steady state step response (aka DC gain), the damping ratio, and the natural frequency b) Find the step response of the system manually and plot the y(t) signal on Matlab c) Use Simulink to simulate the same step response and compare both by taking the L2 norm of the error between two outputs obtained through the analytic (manual)...
1 Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s). Determine the phase margin, gain-crossover frequency, gain margin and phase-crossover frequency, (Sketch the bode diagram by hand) 2 Consider the system shown as below. Use MATLAB to draw a bode diagram of the open-loop transfer function G(s). Show the gain-crossover frequency and phase-crossover frequency in the Bode diagram and determine the phase margin and gain margin. 3. Consider the system shown as below. Design a...