In the following control system where G(s) =design the PI controller Ge(s) = Kp +such that the output y(t) tracks the unit step input r(t) with zero steady-state error and thetransient performance of the unit step input satisfies 1 second settling time and 20% overshoot(ts=1, %OS = 20)r(t)v(t)Gc(s)G(s)Note:77Tp==wy 1-72.(wnTs=00S=*OS= 100.e-/\-7² (===-In(%OS/100)72+2(%0S/100)

Answered: In the following control system where…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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A closed-loop control system is created using a proportional controller. Show that such a system has a steady state error of 1/(1+Kp) and therefore the steady state error condition can be achieved with a proportional gain of 9 or more.
A closed-loop control system is created using a proportional controller. Show that such a system has a steady state error of 1/(1+Kp) and therefore the steady state error condition can be achieved with a proportional gain of 9 or more. An image of the system is added below. many thanks.
For a control system under test with constant velocity, the appropriate test input for steady-state analysis is (A) ramp (B) parabola C) sinusoidal (D) step
i.A closed-loop control system is created using a proportional controller. Show that such a system has a steady state error of 1/(1+Kp) and therefore the steady state error condition can be achieved with a proportional gain of 9 or more.
I have been given the task as a tranee control engineer to design a closed-loop controller an air conditioning unit so that it has the following properties: Maximum overshoot: 10% , maximum time to reach 99% of steady state: 10 seconds, Maximum steady-state error: 10% i have to design a PD controller in a closed-loop system - The steady state error is 1/(1+KP) so i need KP to be at least 9 to meet the brief. I need to choose the K’D parameter so that the zero that it produces is placed somewhere between the open-loop pole, therefore put it at s = -1. I've to assume the closed loop transfer function for this system fits the standard form of a second order response when performing calculations of natural frequency, damping ratio and gain and for plotting the unit step response. I have added the example diagram of a closed-loop system with PD control i was supplied
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