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: Consider the following non-unity feedback control system. K is a gain parameter 0

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

: Consider the following non-unity feedback control system. K is a gain parameter
(0<K<∞). For the steady state error and Routh-Hurwitz stability analysis of this system;
R(s) + Eg(s)
C(s)
K
s(s+10)
1
(s+5)
a. First, convert this non-unity feedback system into an equivalent unity feedback system form. Show
your work clearly.
b. What is the system type? Find the appropriate error constant associated with the system type and
the steady state error ess = e(co) for a unit step input u(t)? Does the ess = e(co) depend on K?
c.
Prepare the Routh table for this system? What is the order/degree of the system?
d. What must be range of values of K for the system to be stable?
e. For which value of K, the system becomes oscillatory (jw-axis poles)? Find these poles?
QQ+E
Kaydet

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