Results of the open-loop frequency response of an industrial automation system using PID control are given in Table 1. A
Posted: Mon Nov 15, 2021 10:19 am
Results of the open-loop frequency response of an industrial
automation system using PID control are given in Table 1. Assume
unity feedback. Table 1 (a) Plot the results of Table 1 on a
Nichols chart. Use your plot to determine the bandwidth (b) of the
closed loop system and apply it using one of the equations given
overleaf to estimate the 0 – 95% rise time, Tr(0 – 95%), for a step
input to the closed-loop system. (b) In order to reduce the system
response time, the gain parameter is increased by 2 (+6 dB). Show
how this increase in gain changes the Nichols chart for the system,
and use it to determine the new 0 – 95% rise time for a step input
to the closed-loop system. (c) Using the Nichols chart of part (b),
calculate (i) the percentage step response overshoot and (ii) the
±5% settling time for a step input to the closed-loop system.
Question: Results of the open-loop frequency response of an industrial automation system using PID control are given in Table 1. Assume unity feedback. Table 1 0.05 0.3 0.1 3.5 0.2 - 3.7 0.5 - 16.7 20 -8.8 (rad/s) |6p (jo)|(dB) ZGp (jo) 0 -95 - 115 - 136 -154 -180 (a) Plot the results of Table 1 on a Nichols chart. Use your plot to determine the bandwidth (0) of the closed loop system and apply it using one of the equations given overleaf to estimate the 0 – 95% rise time, T:(0 – 95%), for a step input to the closed-loop system. (b) In order to reduce the system response time, the gain parameter is increased by 2 (+6 dB). Show how this increase in gain changes the Nichols chart for the system, and use it to determine the new () - 95% rise time for a step input to the closed-loop system. (C) Using the Nichols chart of part (b), calculate (i) the percentage step response overshoot and (ii) the +5% settling time for a step input to the closed-loop system.
automation system using PID control are given in Table 1. Assume
unity feedback. Table 1 (a) Plot the results of Table 1 on a
Nichols chart. Use your plot to determine the bandwidth (b) of the
closed loop system and apply it using one of the equations given
overleaf to estimate the 0 – 95% rise time, Tr(0 – 95%), for a step
input to the closed-loop system. (b) In order to reduce the system
response time, the gain parameter is increased by 2 (+6 dB). Show
how this increase in gain changes the Nichols chart for the system,
and use it to determine the new 0 – 95% rise time for a step input
to the closed-loop system. (c) Using the Nichols chart of part (b),
calculate (i) the percentage step response overshoot and (ii) the
±5% settling time for a step input to the closed-loop system.
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