Question

Can I get Hwlp on a and b on MATLAB as soon as possible pleeaase

K G(S) = S2 + 3s +10 a) Obtain the step response of the system with a PD (proportional and differential) cascade controller with gain 80 and a zero at -5. b) Obtain the step response of the system with a PD (proportion differential) feedback controller with a zero at -5 and unity gain and a forward gain of 80. c) Using Gc(s)G(s), create Nyquist plots for parts (a) and (b). Determine Gain and phase margins, as well as phase crossover frequency and the gain crossover frequency for parts (a) and (b) and compare them for parts (a) and b and interpret them. d) Use Nyquist plot of Gc(s)G(s) to determine the stability of the closed loop systems e) Compare their step response and interpret the outcomes. Complete a comparison table using the step responses of (a) and (b) including the percentage overshoot, the time to first peak, the settling time, and the steady-state error. Comment on the results and explain the reason for the differences in the response. f) Explain how you measure percentage overshoot, the time to first peak, the settling time, and the steady-state error in the Lab. g) Comment on Stability of Systems in part (a) and (b). Why? Write a complete report with the same format which specified in the syllabus and we used it in writing report for Labs

Answer 1

matlab code is:

(ع) را - < s2+3S+ 40 2) Sa cat sa-s, طرى نوم2 80 2 مل PD Controller Controller : من Gels) 8s (S+S) RY G (S) (6) Gc(s) CCS) RCS) 그 Gecs) G (s) = 80 CS+5). وا +s + 3s

sys=tf([80 400],[1 3 10])

step(sys)

matlab code is:

607 RUS) + G(S) -> ces) Gec(s) = 80 (SFS Gc (S) GCS) k 5P+35+10 cas) R(S) (*=1) It Gc(S) G (ST It 80(S+S ☆ 58+35710 CCS) R(S) 1 52438+10 + 80 (S+S) 4 = Res 2 +3 (83) +410 1 52 +83 5+410

sys=tf([1],[1 83 410])

step(sys)