P9 12 A simplified model of the control system for reg ulating the pupillary aperture in the human eye is shown in Figure P9 12 20 The gain K represents the pupillary gain, and is the pupil time constant, which is 0 75 s The time delay T is equal to 0 6 s The pupil lary gain is K 2 5 (a) Assuming the time delay is negligible, sketch the Bode plot for the system Determine the phase mar gin of the system (b) Include the effect of the time delay by adding the phase shift due to the delay Determine the phase margin of the system with the time delay included FIGURE P9 12 Human pupil aperture control Light intensity 1(s) Pupil Pupil R(s) Reference K area (1 TS) Nerve Optic nerve impulses Y(s)

Question

P9 12 A simplified model of the control system for reg ulating the pupillary aperture in the human eye is shown in Figure P9 12  20   The gain K represents the pupillary gain, and  is the pupil time constant, which is 0 75 s  The time delay T is equal to 0 6 s  The pupil lary gain is K   2 5  (a) Assuming the time delay is negligible, sketch the Bode plot for the system  Determine the phase mar gin of the system  (b) Include the effect of the time delay by adding the phase shift due to the delay  Determine the phase margin of the system with the time delay included  FIGURE P9 12 Human pupil aperture control  Light intensity 1(s) Pupil Pupil R(s) Reference K area (1   TS) Nerve Optic nerve impulses Y(s)

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Question: P9.12 A simplified model of the control system for reg ulating the pupillary aperture in the human eye is shown in Figure P9.12 [20]. The

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