GATE Electrical Engineering (EE) 2020 Solved Paper

Question : 43 of 65

Marks: +1, -0

Which of the following options is correct for the system shown below?

Solution:

Closed loop characteristic equation

1+G(s) H(s)=0

1+\;{1}/{(s+1)} \;{1}/{s^{2}} \;{20}/{(s+20)}=0

s^{2}(s+1)(s+20)+20=0

s^{4}+21 s^{3}+20 s^{2}+20=0

It is

4^{\;\text "th "\;}

order system (degree

=4

) It is unstable system because coefficient of s is zero.
It is

4^{\;\text "th "\;}

order unstable system.

Go to Question:

Prev Question

Next Question