1.- The block diagram of a linear control system is shown in the Fig., where r(t) is the reference input and n(t), the disturbance. a) Find the steady-state value of e(t), as a function of K, when n(t) = 0 and r(t) is a unitary ramp b) Find the conditions on the values of K so that the solution in a) is valid c) what is the minimum possible error obtained under a) and b) conditions? d) Find the steady-state value of y(t) when r(t) = 0 and n(t) is a unitary step e) Assuming n(t) = 0, what is the steady-state value of the error, as a function of K, for an input signal of 4tµs(t)? N(S) 2/S K/(S+2)(S+3) R(S) +Y(S)

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter5: Matter Waves
Section: Chapter Questions
Problem 16P
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1.- The block diagram of a linear control system is shown in the Fig., where r(t) is the
reference input and n(t), the disturbance.
a) Find the steady-state value of e(t), as a function of K, when n(t) = 0 and r(t) is a unitary
ramp
b) Find the conditions on the values of K so that the solution in a) is valid
c) what is the minimum possible error obtained under a) and b) conditions?
d) Find the steady-state value of y(t) when r(t) = 0 and n(t) is a unitary step
e) Assuming n(t) = 0, what is the steady-state value of the error, as a function of K, for
an input signal of 4tus(t)?
N(S)
2/S
K/(S+2)(S+3)
R(S)
+Y(S)
Transcribed Image Text:1.- The block diagram of a linear control system is shown in the Fig., where r(t) is the reference input and n(t), the disturbance. a) Find the steady-state value of e(t), as a function of K, when n(t) = 0 and r(t) is a unitary ramp b) Find the conditions on the values of K so that the solution in a) is valid c) what is the minimum possible error obtained under a) and b) conditions? d) Find the steady-state value of y(t) when r(t) = 0 and n(t) is a unitary step e) Assuming n(t) = 0, what is the steady-state value of the error, as a function of K, for an input signal of 4tus(t)? N(S) 2/S K/(S+2)(S+3) R(S) +Y(S)
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