Given a system represented by equationsẋ = 0 1 x +

Home » Control System » Control system miscellaneous » Question

Given a system represented by equations
ẋ = 0 1 x + 0 u
-2 -3 1

and y = [1 0] x
The equivalent transfer function representation G(s) of the system is

1. G(s) = 1
  s² + 5s + 2
2. G(s) = 1
  s² + 3s + 2
3. G(s) = 3
  s² + 3s + 2
4. G(s) = 3
  s³ + 2s² + 2

Correct Option: B

ẋ = x₂
x₂̇ = -2x₁ - 3x₂ + u

On simplifying

	Y(s)	=		1		=	1
				s(s + 3)

	U(s)		1 +	2			s² + 3s + 2
				s(s + 3)