UNIVERSITY OF NAIROBI DEPARTMENT OF MECHANICAL AND MANUFACTURING ENGINEERING FME 511: MECHANICS OF MACHINES AUTOMATIC CONTROL SYSTEMS ASSSIGNMENT: MATLAB SIMULATIONS BY: MELAKU NARDOS DEMERE REG.NO: F18/37208/2013 SUBMITTED TO: DR. JACKSON GITHU NJIRI DATE OF SUBMISSION:-JANUARY/11/2019 TASK 1 TASK 2 TASK 3 num = [2.5]; den = [2.5 1]; G =tf(num,den,'InputDelay',1); % exp(-1*s) * 2.5 % -----------% 2.5 s + 1 K = 1; H = feedback (G,K) margin (H) grid 1 MATLAB Command Window Page 1 Trial License -- for use to evaluate programs for possible purchase as an end-user only. >> Task3 >> Task3 H = A = x1 x1 -1.4 B = x1 u1 1 C = y1 x1 1 D = y1 u1 0 (values computed with all internal delays set to zero) Internal delays (seconds): 1 Continuous-time state-space model. >> Task3 H = A = x1 x1 -1.4 B = x1 u1 1 C = y1 x1 1 D = y1 u1 0 MATLAB Command Window (values computed with all internal delays set to zero) Internal delays (seconds): 1 Continuous-time state-space model. >> Page 2 TASK 4 Untitled Task 4 (part b) plot(q4) >> grid >> stepinfo q4 ans = struct with fields: RiseTime: SettlingTime: SettlingMin: SettlingMax: Overshoot: Undershoot: Peak: PeakTime: 0.8000 1.9800 52 52 117.3077 0 113 1 Page 1 Untitled Task 4 (part c) plot(q4c) >> grid >> stepinfo q4c ans = struct with fields: RiseTime: SettlingTime: SettlingMin: SettlingMax: Overshoot: Undershoot: Peak: PeakTime: 0.1836 2.9800 52 99 14.1414 0 113 1 Page 1 Untitled Task 4 (part d) Proportional-Integral-Controller (PID) Page 1