Consider a unity-feedback system with a continuous-time plant 1 S 5 (1002 +2 100+ 1) G(s) = Find a discrete lead compensator, with sample time T = 0.002 sec, so that the resulted closed-loop system has a crossover frequency wc = 100 rad/sec and peak overshoot Mp ≤ 20%. Give: (a) the additional phase lag caused by zero-order holding of the plant at the crossover frequency; (b) the discrete transfer function of the compensator; (c) the step response of the feedback system.

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Consider a unity-feedback system with a continuous-time plant
1
G(s) =
100z + 2700 + 1
S
Find a discrete lead compensator, with sample time T = 0.002 sec, so that the resulted closed-loop system
has a crossover frequency wc = 100 rad/sec and peak overshoot M, < 20%.
Give:
(a) the additional phase lag caused by zero-order holding of the plant at the crossover frequency;
(b) the discrete transfer function of the compensator;
(c) the step response of the feedback system.
Transcribed Image Text:Consider a unity-feedback system with a continuous-time plant 1 G(s) = 100z + 2700 + 1 S Find a discrete lead compensator, with sample time T = 0.002 sec, so that the resulted closed-loop system has a crossover frequency wc = 100 rad/sec and peak overshoot M, < 20%. Give: (a) the additional phase lag caused by zero-order holding of the plant at the crossover frequency; (b) the discrete transfer function of the compensator; (c) the step response of the feedback system.
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