The block diagram of a linear control system is shown in Fig. SP-17, where r(1) is thereference input and n(t) is the disturbance.(a) Find the steady-state value of e(t) when n(t) 0 and r(t) tus(t). Find the conditions on thevalues of a and K so that the solution is valid.(b) Find the steady-state value of y() when r{t) = 0 and n(t) = u,(t).N(s)R(s)Els)K(s + 3)(-1)Y(s)s+aControllerProcessFigure 5P-17

Solution- a) ht=0rt=tutRs =1s2Now, Es = Rs-Ys…

erence input and n(t) is the disturbance. Find the steady-state value of e(t) when n(1) 0 and r(t) = tu,(t). Find the condition ues of a and K so that the solution is valid. Find the steady-state value of y(t) when r(t) = 0 and n(t) = u,(t). N(s) E(s) K(s + 3) Y(s)

erence input and n(t) is the disturbance. Find the steady-state value of e(t) when n(1) 0 and r(t) = tu,(t). Find the condition ues of a and K so that the solution is valid. Find the steady-state value of y(t) when r(t) = 0 and n(t) = u,(t). N(s) E(s) K(s + 3) Y(s)

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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Question

The block diagram of a linear control system is shown in Fig. SP-17, where r(1) is the
reference input and n(t) is the disturbance.
(a) Find the steady-state value of e(t) when n(t) 0 and r(t) tus(t). Find the conditions on the
values of a and K so that the solution is valid.
(b) Find the steady-state value of y() when r{t) = 0 and n(t) = u,(t).
N(s)
R(s)
Els)
K(s + 3)
(-1)
Y(s)
s+a
Controller
Process
Figure 5P-17

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