4. For system below: G) (5) x(s) 28 +1+3 + 4 + 453 +852 + 8s a. Use MATLAB to break down the transfer function into its partial fractions and draw the block diagram consisting of the partial fractions in parallel. To find the partial fractions: Syst pt - part fra ) b. Find unit step response of each partial fraction and plot individually in a single figure by MATLAB for OSES 15 sec. Also, plot the sum of these responses to find the unit step response of the original system. You may use the following MATLAB commands in an m file, assuming G1,G2, G3, G4 are partial fractions of Gs): figure hold Yls -(1/ yit - Slaplace (1) Tplot tyit, 10.15)) Y2 - (1/5) 02 y2t - Alaplace(Y2) fplot tyt, 10.15)) de plots of retaining partial fractions. finally do the sum of above responses Ya - (1/a) (G1G2G3G4) yt - Ilaplace(a) plot tyt, 10.15) hold Release the hold on plots. axis ([0,15,-.6, +.6) Set axes rangest Oct 15 -0.6 .0.5. grid minor legend stand, th'. 'S ', 'Location that) toit Now, define (s) in MATLAB control system toolbox by tf command; type help to learn about its options. Then use step command to plot the unit step response of G(s). Compare plot to that of part b (must be the same). You may use the following commands: Go - TEL. Page 3 of 4 Team Assignment 1 Due Wed Feb. 26. Upload One PDF File per Team on Learn ENGR 442202 Control Systems Spring 2020 Feb. 12. 2020 Pape of separate them by Coast Spaces the sure the denominator. Check output of transfer function is correct. steps, 15) plot unit step response 15 seconds 4. For system below: G) (5) x(s) 28 +1+3 + 4 + 453 +852 + 8s a. Use MATLAB to break down the transfer function into its partial fractions and draw the block diagram consisting of the partial fractions in parallel. To find the partial fractions: Syst pt - part fra ) b. Find unit step response of each partial fraction and plot individually in a single figure by MATLAB for OSES 15 sec. Also, plot the sum of these responses to find the unit step response of the original system. You may use the following MATLAB commands in an m file, assuming G1,G2, G3, G4 are partial fractions of Gs): figure hold Yls -(1/ yit - Slaplace (1) Tplot tyit, 10.15)) Y2 - (1/5) 02 y2t - Alaplace(Y2) fplot tyt, 10.15)) de plots of retaining partial fractions. finally do the sum of above responses Ya - (1/a) (G1G2G3G4) yt - Ilaplace(a) plot tyt, 10.15) hold Release the hold on plots. axis ([0,15,-.6, +.6) Set axes rangest Oct 15 -0.6 .0.5. grid minor legend stand, th'. 'S ', 'Location that) toit Now, define (s) in MATLAB control system toolbox by tf command; type help to learn about its options. Then use step command to plot the unit step response of G(s). Compare plot to that of part b (must be the same). You may use the following commands: Go - TEL. Page 3 of 4 Team Assignment 1 Due Wed Feb. 26. Upload One PDF File per Team on Learn ENGR 442202 Control Systems Spring 2020 Feb. 12. 2020 Pape of separate them by Coast Spaces the sure the denominator. Check output of transfer function is correct. steps, 15) plot unit step response 15 seconds
