Correct Answer - Option 1 : linear system
Concept:
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Linear time-invariant systems (LTI systems) are a class of systems used in signals and systems that are both linear and time-invariant.
- Linear systems are systems whose outputs for a linear combination of inputs are the same as a linear combination of individual responses to those inputs.
- Time-invariant systems are systems where the output does not depend on when the input was applied. These properties make LTI systems easy to represent and understand graphically.
We analyze all the systems which are LTI only because if systems are time-varying we can’t do the analysis and response will be unpredictable.
Error: Deviation of the output from input.
Steady-state error: The error at “t → ∞” i.e,
\({e_{ss}} = \mathop {\lim }\limits_{t \to \infty } e\left( t \right) = \mathop {\lim }\limits_{s \to 0} sE\left( s \right)\)
The steady-state error depends on two factors.
1) Type of input
2) Type of the system
The steady-state errors are calculated to only closed-loop systems.
The steady-state errors are valid for only unity feedback systems. If the system is not unity feedback then we have to convert that into unity feedback.
