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k(s+1) s(s+10+X) 1 S+1 K(s)=- Figure 1.1. Feedback control system. For example, if your student number is c1700123, then K(s) = = G(s)=- k(s+1) s(s+13)* (i) Obtain the value of gain k of K(s) that would yield a steady-state error of ess,r 0.1X for a unit ramp input, where X is the last digit of your student number. (ii) Based on your result from part (i), obtain the closed-loop transfer function P(s) = Y(s) / R(s) of the system.

k(s+1) s(s+10+X) 1 S+1 K(s)=- Figure 1.1. Feedback control system. For example, if your student number is c1700123, then K(s) = = G(s)=- k(s+1) s(s+13)* (i) Obtain the value of gain k of K(s) that would yield a steady-state error of ess,r 0.1X for a unit ramp input, where X is the last digit of your student number. (ii) Based on your result from part (i), obtain the closed-loop transfer function P(s) = Y(s) / R(s) of the system.

Introductory Circuit Analysis (13th Edition)
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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K(s) = k(s+1)/s(s+13)   

ess,r = 0.13

a) The block diagram of a feedback control system is shown in Figure 1.1. In the transfer function K(s), X is the last digit of your student number. Controller Plant E(s) R(s) K(s) k(s+1) s(s+10+X) G(s) G(s) = = = = 1 1 S+1 K(s) = Figure 1.1. Feedback control system. For example, if your student number is c1700123, then K(s)=- -Y(s) k(s+1) s(s+13)* (i) Obtain the value of gain k of K(s) that would yield a steady-state error of ess,r = 0.1X for a unit ramp input, where X is the last digit of your student number. (ii) Based on your result from part (i), obtain the closed-loop transfer function P(s) = Y(s) / R(s) of the system.
Transcribed Image Text:a) The block diagram of a feedback control system is shown in Figure 1.1. In the transfer function K(s), X is the last digit of your student number. Controller Plant E(s) R(s) K(s) k(s+1) s(s+10+X) G(s) G(s) = = = = 1 1 S+1 K(s) = Figure 1.1. Feedback control system. For example, if your student number is c1700123, then K(s)=- -Y(s) k(s+1) s(s+13)* (i) Obtain the value of gain k of K(s) that would yield a steady-state error of ess,r = 0.1X for a unit ramp input, where X is the last digit of your student number. (ii) Based on your result from part (i), obtain the closed-loop transfer function P(s) = Y(s) / R(s) of the system.
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