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The unique model of a system is

This question was previously asked in
UPPSC AE Electrical 29 May 2022 Official Paper I
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  1. Block diagrams
  2. State variables
  3. Signal flow graphs
  4. Transfer function

Answer (Detailed Solution Below)

Option 4 : Transfer function
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Detailed Solution

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Transfer Function:

  • The transfer function of a system is defined as the ratio of the Laplace transform of output to the Laplace transform of input where all the initial conditions are zero.
  • The transfer function for the system is unique & it is applicable only for linear time-invariant (LTI) systems.

Signal flow graphs:

  • Signal flow graphs are used to find the transfer function of the control system by converting the block diagrams into signal flow graphs
  • It cannot be used for nonlinear systems.

Block diagrams:

  • A block diagram is used to represent a control system in diagram form.
  • Each element of the control system is represented with a block and the block is the symbolic representation of the transfer function of that element.

State variables:

  • A state variable is one of the sets of variables that are used to describe the mathematical "state" of a dynamical system.
  • The state variable method is used for analysis of time-variant systems.
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