Consider the following feedback control system. Assume H(s)=F(s)=1 and 4 N(s)=D(s)=0. The plant transfer function is: P(s) = Consider a Proportional (P) Control %3D (2s+1)(0.5s+1) C(s) = Kp. (a) What is the closed-loop transfer function? What are the expressions of the closed-loop poles? (b) What is the allowed region of the closed-loop poles on the complex plane such that the %OS is less than 10% and that the 2% settling time is less than 6 sec? What is the corresponding range of K,? (c) Plot the step response of the closed-loop system when K, = 0.5. (d) Does the response obtained in (c) satisfy the requirements in (b)? Is the steady-state error zero? Disturbance D (s) Actuating Signal EA(S) Reference Control Output Input R(s) Input + Y(s) F(s) C(s) P(s) U(s) + Pre-filter Controller Plant H(s) + Noise N(s) Considor the gome faodhool, oontrel syatom og in Problom 1 A goin

Consider the following feedback control system. Assume H(s)=F(s)=1 and 4 N(s)=D(s)=0. The plant transfer function is: P(s) = Consider a Proportional (P) Control %3D (2s+1)(0.5s+1) C(s) = Kp. (a) What is the closed-loop transfer function? What are the expressions of the closed-loop poles? (b) What is the allowed region of the closed-loop poles on the complex plane such that the %OS is less than 10% and that the 2% settling time is less than 6 sec? What is the corresponding range of K,? (c) Plot the step response of the closed-loop system when K, = 0.5. (d) Does the response obtained in (c) satisfy the requirements in (b)? Is the steady-state error zero? Disturbance D (s) Actuating Signal EA(S) Reference Control Output Input R(s) Input + Y(s) F(s) C(s) P(s) U(s) + Pre-filter Controller Plant H(s) + Noise N(s) Considor the gome faodhool, oontrel syatom og in Problom 1 A goin

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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Thank you for answering this question. Please you specify each step and formula you used as soon as possible. Good Luck! Thank You. Open loop transfer function of a second order unity feedback system is given by G(s). A controller, indicated by G-(s), is added to the system to build a closed loop control system. The transfer function of the closed loop system becomes: G.(s)G(s) Gcı (s) %3D 1+ G.(s)G(s) 1 and Gc (s) = k,+, what would be the steady state error of the a) In case G(s) = closed loop system in response for a unity step input when kp = 5 and k; = 0.2? b) When a ramp input is applied (r(t) = 0.1*t) with k, = 5 and k; = 0.2, determine the output error of the system. c) In order to have zero steady-state error when k; = a feedforward controller with L(s). %3D s2+s+1 and k, = 5 with unity step input, design
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