CP4.8 A negative feedback control system is depicted inFigure CP4.8. Suppose that our design objective is tofind a controller G.(s) of minimal complexity suchthat our closed-loop system can track a unit step inputwith a steady-state error of zero.(a) As a first try, consider a simple proportionalcontrollerG,(s) = K,%3Dwhere K is a fixed gain. Let K = 2. Plot the unitstep response and determine the steady-stateerror from the plot.(b) Now consider a more complex controllerK,G.(s) = K, +%3D= 2 and K1 = 20. This controller iswhere Koknown as a proportional, integral (PI) controller.Plot the unit step response, and determine thesteady-state error from the plot.(c) Compare the results from parts (a) and (b), anddiscuss the trade-off between controller complex-ity and steady-state tracking error performance.ProcessController10s+ 10Y(s)R(s)G(s)

Given, aGcs=k=2Open loop gain=10×2s+10=20s+10Closed loop gain=Gs1+Gs=20s+101+20s+10…

CP4.8 A negative feedback control system is depicted in Figure CP4.8. Suppose that our design objective is to find a controller G.(s) of minimal complexity such that our closed-loop system can track a unit step input with a steady-state error of zero. (a) As a first try, consider a simple proportional controller G,(s) = K, %3D

CP4.8 A negative feedback control system is depicted in Figure CP4.8. Suppose that our design objective is to find a controller G.(s) of minimal complexity such that our closed-loop system can track a unit step input with a steady-state error of zero. (a) As a first try, consider a simple proportional controller G,(s) = K, %3D

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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