Fewpal
0 votes
193 views
in General by (45.5k points)
recategorized by

The forward path transfer function of a unity negative feedback system is given by G(s) = K/((s + 2)(s - 1))

The value of K which will place both the poles of the closed-loop system at the same location, is ______. 

 

1 Answer

+1 vote
by (17.5k points)
selected by
 
Best answer

Given G(s) = k/((s + 2)(s - 1))

H(s) = 1

Characteristic equation: 1 + G(s)H(s) = 0

1 + K/((s + 2)(s - 1)) = 0

The poles are s1,2 = - 1± √(9/4 - 4k)

If 9/k - k = 0, then both poles of the closed loop system at the same location.

So, K = 9/4  ⇒ 2.25

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...