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Consider the following properties attributed to state model of a system:

1. State model is unique.

2. Transfer function for the system is unique.

3. State model can be derived from transfer function of the system.

Which of the above statements are correct?

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  1. 1, 2 and 3
  2. 1 and 2 only
  3. 2 and 3 only
  4. 1 and 3 only

Answer (Detailed Solution Below)

Option 3 : 2 and 3 only
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Detailed Solution

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  • In the transfer function model, initial conditions are assumed to be zero. In the state-space model, transfer function is not the starting point for the system analysis, and it considers the initial conditions of the system.
  • The transfer function for the system is unique.
  • The transfer function is applicable only for linear time-invariant systems. The state-space model is applicable to linear time-variant systems also.
  • State-space representation of a system is not unique, it may have more than one representation.
  • State model can be derived from transfer function of the system.
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