Question

For the closed-loop system shown, and given: 2.80 G(S) == 32+ 1.38 s+ 7.00 Design a PD Controller i.e. where C(s) = Kp + KdsPart A - P Gain Find the P gain (i.e. Kp) IVO AJ vec O O ? Kp = Submit Request Answer Part B - D Gain Find the D gain (i.e. K

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Solution Given that 2.80 Gls) = st1:38 +7.00 as t = 0.0/ 5 ts, 1% = 0.195 shown figure below. free cs Gls) e control plant whTCS) = 2.80 (kp tkas) s+1.385+7+2.80 (kptkas) Tes) = 2.80 kp +2.80 kas st (1.385+2.80 ks)+7+2,80 kp TCS) = 2.80 kp + 2.80 kaThe rise time is Ts (1/2) = 4.5 e con 0.19 = 4.5 0.69 + 114 kd . 0.19 (0.69 +1.14 Kd) =4.5 0.1311 +0,266 kd = 4.5 0.266 kg =0.01 = 0.8+ 2.5 ( 23.6841 On وفي| 0.01 wn = o.sun + 59.21 wn 0.0 com oson +59.21 0.0 un 0.8 on 59.21 20 Now divided by 0.01 o

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