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If a type 0 system is subjected to step input, what is its effect on steady state error?
- a)It increases continuously
- b)It remains constant
- c)It decreases monotonically
- d)It gets subjected to another input
Correct answer is option 'B'. Can you explain this answer?
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If a type 0 system is subjected to step input, what is its effect on s...
Introduction:
A system's steady-state error is the difference between the desired output and the actual output of the system when it reaches a stable condition. In this case, we are considering a type 0 system, which means that the steady-state error is determined by the input to the system.
Effect of a Step Input:
When a step input is applied to a type 0 system, the output of the system gradually approaches the desired value over time. The response of a type 0 system to a step input can be represented by a ramp function.
Explanation:
The steady-state error of a type 0 system is defined as the difference between the desired value and the output value when the system reaches a stable condition. In the case of a step input, the desired value is constant over time.
Initially, when the step input is applied, the output of the system starts to change. As time progresses, the output approaches the desired value, and the steady-state error decreases. Eventually, when the system reaches a stable condition, the output value becomes equal to the desired value, resulting in zero steady-state error.
Since the desired value remains constant throughout the response of a type 0 system to a step input, the steady-state error also remains constant. This is because once the system reaches a stable condition, the output value doesn't change further, and the steady-state error is determined solely by the difference between the desired value and the output value at that point.
Conclusion:
In summary, when a type 0 system is subjected to a step input, the steady-state error remains constant. This is because the output of the system eventually reaches a stable condition where it matches the desired value, resulting in zero steady-state error.
A system's steady-state error is the difference between the desired output and the actual output of the system when it reaches a stable condition. In this case, we are considering a type 0 system, which means that the steady-state error is determined by the input to the system.
Effect of a Step Input:
When a step input is applied to a type 0 system, the output of the system gradually approaches the desired value over time. The response of a type 0 system to a step input can be represented by a ramp function.
Explanation:
The steady-state error of a type 0 system is defined as the difference between the desired value and the output value when the system reaches a stable condition. In the case of a step input, the desired value is constant over time.
Initially, when the step input is applied, the output of the system starts to change. As time progresses, the output approaches the desired value, and the steady-state error decreases. Eventually, when the system reaches a stable condition, the output value becomes equal to the desired value, resulting in zero steady-state error.
Since the desired value remains constant throughout the response of a type 0 system to a step input, the steady-state error also remains constant. This is because once the system reaches a stable condition, the output value doesn't change further, and the steady-state error is determined solely by the difference between the desired value and the output value at that point.
Conclusion:
In summary, when a type 0 system is subjected to a step input, the steady-state error remains constant. This is because the output of the system eventually reaches a stable condition where it matches the desired value, resulting in zero steady-state error.
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If a type 0 system is subjected to step input, what is its effect on s...
It should increase actually
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If a type 0 system is subjected to step input, what is its effect on steady state error?a)It increases continuouslyb)It remains constantc)It decreases monotonicallyd)It gets subjected to another inputCorrect answer is option 'B'. Can you explain this answer?
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