Question

Consider the state space model of a system, as given below 

[(x₁, x₂, x₃)] = [(-1, 1, 0), (0, - 1, 0), (0, 0, -2)] [x₁, x₂, x₃] + [0, 4, 0] u, y = [1, 1, 1] [x₁, x₂, x₃]

The system is

(A) controllable and observable

(B) uncontrollable and observable

(C) uncontrollable and unobservable

(D) controllable and unobservable 

Answer 1

Correct option (B) uncontrollable and observable

Explanation:

From the given state model,

The system is uncontrollable and observable