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