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Consider the control system shown in Figure 1. E(s) + R(s)O- C(s). Σ K 1 Σ 4 -o Y(s) s+a U(s) -2 + Σ Figure 1 Control system block diagram (a) Compute the transfer function of the system T(s) = Y(s)/ R(s). (b) Compute E(s) and determine the steady-state error due to a unit step input, that is, let R(s) =1/ s. (c) Compute the sensitivity s. (d) Calculate the response y(t) for a unit step input R(s) =1/ s, for a = 2, and K = 2. +

Consider the control system shown in Figure 1. E(s) + R(s)O- C(s). Σ K 1 Σ 4 -o Y(s) s+a U(s) -2 + Σ Figure 1 Control system block diagram (a) Compute the transfer function of the system T(s) = Y(s)/ R(s). (b) Compute E(s) and determine the steady-state error due to a unit step input, that is, let R(s) =1/ s. (c) Compute the sensitivity s. (d) Calculate the response y(t) for a unit step input R(s) =1/ s, for a = 2, and K = 2. +

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Consider the control system shown in Figure 1. E(s) + R(s)O- C(s). Σ K 1 Σ 4 -o Y(s) s+a U(s) -2 + Σ Figure 1 Control system block diagram (a) Compute the transfer function of the system T(s) = Y(s)/ R(s). (b) Compute E(s) and determine the steady-state error due to a unit step input, that is, let R(s) =1/ s. (c) Compute the sensitivity s. (d) Calculate the response y(t) for a unit step input R(s) =1/ s, for a = 2, and K = 2. +
Transcribed Image Text:Consider the control system shown in Figure 1. E(s) + R(s)O- C(s). Σ K 1 Σ 4 -o Y(s) s+a U(s) -2 + Σ Figure 1 Control system block diagram (a) Compute the transfer function of the system T(s) = Y(s)/ R(s). (b) Compute E(s) and determine the steady-state error due to a unit step input, that is, let R(s) =1/ s. (c) Compute the sensitivity s. (d) Calculate the response y(t) for a unit step input R(s) =1/ s, for a = 2, and K = 2. +
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