Practice - Ramp input
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Practice Questions
Test your understanding with targeted questions
Define steady-state error in control systems.
💡 Hint: Think about what happens when a system stabilizes.
What is the formula for steady-state error for a ramp input?
💡 Hint: Recall how Kv is defined and its role in the equation.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the steady-state error for a ramp input defined as?
💡 Hint: Think about the dependency on the error constant for ramp inputs.
True or False: Increasing Kp always decreases steady-state error for a step input.
💡 Hint: Consider how changes in Kp adjust the output accuracy.
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Challenge Problems
Push your limits with advanced challenges
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.
💡 Hint: Remember that Kv affects the steady-state error for ramp inputs directly.
If a system achieves Kp = 30 and Kv = 25, what will be the comparative steady-state error for step inputs vs. ramp inputs?
💡 Hint: Analyze how each error constant affects the outcomes for various inputs.
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