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Consider the state block diagram shown in figure, where x1 and x2 are state variable, ‘u’ represents input and ‘y’ is the output
The given system is
  • a)
    Not controllable but observable
  • b)
    Not observable but controllable
  • c)
    Neither observable nor controllable
  • d)
    Both observable and controllable
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Consider the state block diagram shown in figure, where x1 and x2 ar...
Given system is shown in figure below,
/
State equations can be written as
State space representation in matrix form is
To check controllability, controllability test matrix is
Similarly, observability test matrix is given as
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Community Answer
Consider the state block diagram shown in figure, where x1 and x2 ar...
Given system is shown in figure below,
/
State equations can be written as
State space representation in matrix form is
To check controllability, controllability test matrix is
Similarly, observability test matrix is given as
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Consider the state block diagram shown in figure, where x1 and x2 are state variable, ‘u’ represents input and ‘y’ is the outputThe given system isa)Not controllable but observableb)Not observable but controllablec)Neither observable nor controllabled)Both observable and controllableCorrect answer is option 'D'. Can you explain this answer?
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