Practice Mathematical Representation (10.2.1) - Implement Basic Control Laws in Practical Applications

Practice: Mathematical Representation

Lesson 10.2.1Implement Basic Control Laws in Practical Applications

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9 questions

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4 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the mathematical representation of Proportional Control?
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Think about how we define control input.
Question 2.
What does e(t) represent?
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Consider the relationship between r(t) and y(t).
3Question 3.
What is the formula for Proportional Control?
- u(t) = Kp * e(t)
- u(t) = Ki * integral(e(t))
- u(t) = Kd * derivative(e(t))
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Focus on the role of proportional gain in control systems.
4Question 4.
True or False: Proportional Control can completely eliminate steady-state error.
- True
- False
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Think about the limitations we discussed in class.
Question 5.
Design a simple Proportional Control system for maintaining water level in a tank with a desired level of 50 liters. If the current water level is at 40 liters, Kp is set to 3. What is u(t)?
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Remember to find the difference first.
Question 6.
Discuss how increasing Kp might affect the stability of your control system and whether it may lead to oscillation at steady state.
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Consider what happens with too much responsiveness.

5 more questions in this section. Enroll free to practise them all.