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P.2 Design a PID (or a Pl only) for the following unity feedback system as shown in the figure, where G(s) = (5+1)(s+4) K EG)

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Anower Steps: T. Decide desired pole location using criteria given in question i.e 51,2 3 Ij3 2. Find where a Zero would need4. Add pole at the orisin. PI origin so that 5. Choose a Zero position close to the pole and origin it provided to Cancels wiAnower प TE 1-041 U - na - २.११ 1-647 - हप/V1-77 MP 2015 0-15 - /11-20 - -4.2 0.8 Now, Wd Nov 1-27 । 2.११ » Npv | - 064 | -Desired soolo (-{wn) I jwa N 0.8 -4-98 X 200 ej 2.99 -3.98 j2.94 N open loop poles :→ -1,-4 for PD past Ge(s) k (sea) * P ZerJ2 ११ li 3 18 ? -3098 -4 -1 2.११ 2 tomt (- A - 3.98 2.११ . = +om - 89.64 2. 4-3.98 2.११ 180° tam! 2. 1-3.98 225.१Eoz {Op 2=180 > tomt 2.99 89.61 € 225.09) = -180 a-3.98 => 2.99 z 1.olat 4.02 => 1.ola = 1.03 az .1.02 k z lq l3 li do - V12le = V1.2.917? - (0.02 – 3.9837 = 4.20 .* k z 3 Ge(s) 3 (SP 1.02) Zero at to For PI part : Gels) = k (sea) (seb) Sot pole isPID : -+ 36 11.125 p0.102) ..Gels) 3 352 x 3.365 7o.306 = S 3 KD=3; Kp = 3.36 + kq=0.306

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