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Consider two single input single output systems with state and output equations as given below:
System 1:
System 2:
The two systems are connected in cascade by applying the output of system 1 to system 2, that is by making u2(t) = y1(t). Determine the transfer function of the combined system.
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider two single input single output systems with state and output ...
Transfer function is given by,
T|F = C(SI – A)-1 B
For the system 1:
For the system 2:
Both systems are connected in cascade,
Overall transfer function =
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Consider two single input single output systems with state and output equations as given below:System 1:System 2:The two systems are connected in cascade by applying the output of system 1 to system 2, that is by making u2(t) = y1(t). Determine the transfer function of the combined system.a)b)c)d)Correct answer is option 'B'. Can you explain this answer?
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