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The system with the open loop transfer function 1/s(1+s) is:
  • a)
    Type 2 and order 1
  • b)
    Type 1 and order 1
  • c)
    Type 0 and order 0
  • d)
    Type 1 and order 2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The system with the open loop transfer function 1/s(1+s) is:a)Type 2 a...
Answer: d
Explanation: Type is defined as the number of poles at origin and order is defined as the total number of poles and this is calculated with the help of the transfer function from the above transfer function the type is 1 and order is 2.
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Most Upvoted Answer
The system with the open loop transfer function 1/s(1+s) is:a)Type 2 a...
Solution:
The given open loop transfer function is:
G(s) = 1/s(1+s)

Type of system:
The type of the system is determined by the number of poles at the origin i.e., number of integrators in the transfer function.

- If there are no poles at the origin, the system is of Type 0.
- If there is one pole at the origin, the system is of Type 1.
- If there are two poles at the origin, the system is of Type 2.
- And so on.

In this case, there is one pole at the origin (s=0), hence the system is of Type 1.

Order of the system:
The order of the system is determined by the highest power of 's' in the denominator of the transfer function.

In this case, the highest power of 's' in the denominator is 2, hence the order of the system is 2.

Therefore, the correct option is D) Type 1 and order 2.
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