Q2The position of an elevator h(s) is controlled by means of lifting cables. A feedbackcontrol system is used to control the force applied by the cables to the elevator. Thetransfer function of the plant is,1Gp(s) =ControllerElevatorhr(s)h(s)E(s)G.(s)GP(s)A unit step input is provided. If only proportional control is used, show that theposition of the elevator oscillates about the reference value of 1. Find the period(a)of this oscillation.(b)Show that the addition of derivative action to the system can ensure a non-oscillatory response. Find a relation between the derivative and proportionalgains that ensures the response is non-oscillatory.(c)When the proportional and derivative gains are set to Kp = 9 and Kd = 6,respectively, find the damping ratio and natural frequency of the system. Derivethe time-domain response of the elevator for a unit step input and confirm thatit is not oscillatory.

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he position of an elevator h(s) is controlled by means of lifting cables ontrol system is used to control the force applied by the cables to the ransfer function of the plant is, 1 Gp(s) = s2 Controller Elevator hr(s) E(s) h(s) G(s) Gp(s) (E A unit step input is provided. If only proportional control is used, position of the elevator oscillates about the reference value of 1. F of this oscillation.

he position of an elevator h(s) is controlled by means of lifting cables ontrol system is used to control the force applied by the cables to the ransfer function of the plant is, 1 Gp(s) = s2 Controller Elevator hr(s) E(s) h(s) G(s) Gp(s) (E A unit step input is provided. If only proportional control is used, position of the elevator oscillates about the reference value of 1. F of this oscillation.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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