Practice Ramp Input (6.3.3.1) - Analyze System Responses in Transient and Steady-State Conditions

Practice: Ramp input

Lesson 6.3.3.1Analyze System Responses in Transient and Steady-State Conditions

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8 questions

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6 sample questions

Question 1.
Define steady-state error in control systems.
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Think about what happens when a system stabilizes.
Question 2.
What is the formula for steady-state error for a ramp input?
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Recall how Kv is defined and its role in the equation.
3Question 3.
What is the steady-state error for a ramp input defined as?
- e_{ss} = Kp
- e_{ss} = 1/Kv
- e_{ss} = Kv
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Think about the dependency on the error constant for ramp inputs.
4Question 4.
True or False: Increasing Kp always decreases steady-state error for a step input.
- True
- False
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Consider how changes in Kp adjust the output accuracy.
Question 5.
A control system has Kp = 15, Kv = 0, and Ka = 5. Calculate the steady-state errors for all three input types: step, ramp, and parabolic.
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Remember that Kv affects the steady-state error for ramp inputs directly.
Question 6.
If a system achieves Kp = 30 and Kv = 25, what will be the comparative steady-state error for step inputs vs. ramp inputs?
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Analyze how each error constant affects the outcomes for various inputs.

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