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PD & PID controller design Consider a unity feedback system with open loop transfer function, G(s)...

PD & PID controller design Consider a unity feedback system with open loop transfer function, G(s) = 20/s(s+2)(8+4). Design a

PD & PID controller design Consider a unity feedback system with open loop transfer function, G(s) = 20/s(s+2)(8+4). Design a PD controller so that the closed loop has a damping ratio of 0.8 and natural frequency of oscillation as 2 rad/sec. b) 100 Consider a unity feedback system with open loop transfer function, aus. Design a PID controller, so that the phase margin of (S-1) (s + 2) (s+10) the system is 45° at a frequency of 4 rad/scc and the steady state error for unit ramp input is 0.1. G(s)
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a) consider a unity feed back system with open loop tyans fer function, Ges) = 20/s (s+2) (s+4), Design la po controller so t20 20 F1.6+j1.2) (0.4+j1.2)(2.4 +312) 22143°x1.26 27142168226° - _ 20 2x 1.26 X 2.68 ce < (-1430-71-26*) = 2.96 L-240 and 4dGc (sa) = 0.243 (98 +21292) - 0.243 (-1.6+31.2 +2:292) -0.243 (0.692+ 31.2) = 0.243(1.385 260°) = 0.337 260° . Go (Sa) = Go (consider a unity feedback system with open loop transfer function. Gcs) = 100 - Design a PID (s+l) (S+2) (S+10) controller.of compensated The gain crossover frequency system, W, = 4 yad /sec. let AE l (jw) at = , 0. = LG (jw) at 6= w A = - - 0.5 ToHere Ge (S) = kp + Kys + ki = kys? + KpS + Ky S and G15) = (1+5) (1+0.55) (1+0.15) . Ky = its (kys? + KpS +K, ) Sto (1+5)(1+0formuy 6945 23.5+58) He 0.344 (3+5.235 +5.81) (1+5) (+0.55) (1+0.15) Block diagram of system with Cascade PID controller opendo = tan! 5.23W - 90°- tan-w - tan 0.5W - tanlo.16, . 5.81-62 for wc 15.81 = 180° + tan! 5.236 - 90°- taniw - tan 0.50 - t

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