10.62) Figure P10.62 shows PD control applied to an unstable plant. The gains have been computed so that the damping rat

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10 62 Figure P10 62 Shows Pd Control Applied To An Unstable Plant The Gains Have Been Computed So That The Damping Rat 1 (34.02 KiB) Viewed 55 times

10.62) Figure P10.62 shows PD control applied to an unstable plant. The gains have been computed so that the damping ratio is = 0.707 and the time constant is 2.5 sec, assuming that the transfer functions of the actuator and the feedback sensor are unity. Suppose that the feedback sensor has the transfer function 1 TS +1 This lag in the response of the feedback elements might affect the system's stability, its overshoot in response to a step input, or its 2% settling time. a. What effect does this lag have on the system's performance if t = 0.1 sec? b. What effect does this have on the system's performance if t = 1 sec? R(s) + C(s) 2412+1200s Controller TS + 1 Sensor G,(s) = 1500s2-1932 Plant Figure P10.62