GATE EE 2014 Set 2 — Question 56
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Control Systems → State-Space Analysis → Controllability & Observability
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Question
The second order dynamic systemhas the matrices , and as follows:The system has the following controllability and observability properties:
Correct answer
(C) Controllable but not observable
Solution
To check controllability, we find the controllability matrix .
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Since the determinant is non-zero, the system is controllable.To check observability, we find the observability matrix .
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Since the determinant is zero, the system is not observable.Thus, the system is controllable but not observable.
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Since the determinant is non-zero, the system is controllable.To check observability, we find the observability matrix .
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Since the determinant is zero, the system is not observable.Thus, the system is controllable but not observable.
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