A transfer function of control system does not have pole-zero cancellation. Which one of the following statements is true?
A. System is neither controllable nor observable
B. System is completely controllable and observable
C. System is observable but uncontrollable
D. System is controllable but unobservable
Answer:B
A transfer function of control system does not have pole-zero cancellation. Which one of the following statements is true?
A. System is neither controllable nor observable B. System is completely controllable and observable C. System is observable but uncontrollable D. System is controllable but unobservable
Explanation: If the input-output transfer function of a linear time-invariant system has pole-zero cancellation, the system will be neither controllable nor observable.