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Consider a system if represented by state space equation and x1 (t) =x2 (t), then the system is:

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Consider a system if represented by state space equation and x1 (t) =x2 (t), then the system is:

(a) Controllable

(b) Uncontrollable

(c) Observable

(d) Unstable

The question was posed to me in class test.

I need to ask this question from Controlability and Observability in division State Variable Analysis and Design of Control Systems

1 Answer

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Correct option is (b) Uncontrollable

Easiest explanation: After calculating the matrix which for controllable system and finding the determinant and should not be zero but in this case comes to be zero.

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