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If the output of the system at steady state does not agree with the input, then the system is said to have _________ which determines the _________ of the system.
1. Steady state error, accuracy
2. Residual error, overshoot
3. Steady state error, tolerance
4. Residual error, tolerance

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Correct Answer - Option 1 : Steady state error, accuracy

Steady-state error-

Steady-state error is defined as the difference between the input (command) and the output of a system in the limit as time goes to infinity (i.e. when the response has reached a steady-state). The steady-state error will depend on the type of input (step, ramp, etc.) as well as the system type (0, I, or II).

We can calculate the steady-state error for this system from either the open or closed-loop transfer function using the Final Value Theorem.

\(e\left( \infty \right) = \mathop {\lim }\limits_{s \to 0} sE\left( s \right) = \mathop {\lim }\limits_{s \to 0} \frac{{sR\left( s \right)}}{{1 + G\left( s \right)}}\)

\(e\left( \infty \right) = \mathop {\lim }\limits_{s \to 0} sE\left( s \right) = \mathop {\lim }\limits_{s \to 0} sR\left( s \right)\left[ {1 - T\left( s \right)} \right]\)

The steady-state error is a measure of system accuracy.

These errors arise from the nature of the inputs, system type, and from nonlinearities of system components such as static friction, backlash, etc.

These are generally aggravated by amplifier drifts, aging, or deterioration.

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