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The error signal that feeds the controller in a feedback control loop was recorded at various times, shown in Table 1. In open-loop mode, the magnitude of the signal feeding to the actuator was 12.0 mA at the instant when the controller was switched on at time zero.The steady-state process gain for the actuator, main process and sensor, considered as a single process, is 5.0 gpm/mA (a) Consider a P-only controller to be switched on and the proportional gain is0.3 mA/gpm.  What is the magnitude of the control signal sent to the actuator at 10 seconds? (b)  Consider a PI controller to be switched on; the proportional gain and inte-gral time are 0.3 mA/gpm and 6.0 seconds, respectively.  Estimate the magnitude of the control signal sent to the actuator at 25 seconds. (c) What do you think the controlled variable and its corresponding desired set point are?

The error signal that feeds the controller in a feedback control loop was recorded at various times, shown in Table 1. In open-loop mode, the magnitude of the signal feeding to the actuator was 12.0 mA at the instant when the controller was switched on at time zero.The steady-state process gain for the actuator, main process and sensor, considered as a single process, is 5.0 gpm/mA (a) Consider a P-only controller to be switched on and the proportional gain is0.3 mA/gpm.  What is the magnitude of the control signal sent to the actuator at 10 seconds? (b)  Consider a PI controller to be switched on; the proportional gain and inte-gral time are 0.3 mA/gpm and 6.0 seconds, respectively.  Estimate the magnitude of the control signal sent to the actuator at 25 seconds. (c) What do you think the controlled variable and its corresponding desired set point are?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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The error signal that feeds the controller in a feedback control loop was recorded at various times, shown in Table 1. In open-loop mode, the magnitude of the signal feeding to the actuator was 12.0 mA at the instant when the controller was switched on at time zero.The steady-state process gain for the actuator, main process and sensor, considered as a single process, is 5.0 gpm/mA

(a) Consider a P-only controller to be switched on and the proportional gain is0.3 mA/gpm.  What is the magnitude of the control signal sent to the actuator at 10 seconds?

(b)  Consider a PI controller to be switched on; the proportional gain and inte-gral time are 0.3 mA/gpm and 6.0 seconds, respectively.  Estimate the magnitude of the control signal sent to the actuator at 25 seconds.

(c) What do you think the controlled variable and its corresponding desired set point are?

**Table 1: Time & Error** | Time (sec) | Error (gpm) | |------------|-------------| | 0 | 0 | | 5 | -7.6 | | 10 | -6.9 | | 15 | -2.1 | | 20 | 3.5 | | 25 | 7.7 | | 30 | 5.8 | This table displays the relationship between time (in seconds) and error (in gallons per minute). The error values indicate fluctuations, starting at zero, decreasing to a negative value, reaching a minimum, and then increasing to a positive value. This pattern could represent the calibration process of a system over a given period.
Transcribed Image Text:**Table 1: Time & Error** | Time (sec) | Error (gpm) | |------------|-------------| | 0 | 0 | | 5 | -7.6 | | 10 | -6.9 | | 15 | -2.1 | | 20 | 3.5 | | 25 | 7.7 | | 30 | 5.8 | This table displays the relationship between time (in seconds) and error (in gallons per minute). The error values indicate fluctuations, starting at zero, decreasing to a negative value, reaching a minimum, and then increasing to a positive value. This pattern could represent the calibration process of a system over a given period.
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