Practice - Mathematical Representation - 10.2.1
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What is the mathematical representation of Proportional Control?
💡 Hint: Think about how we define control input.
What does e(t) represent?
💡 Hint: Consider the relationship between r(t) and y(t).
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula for Proportional Control?
💡 Hint: Focus on the role of proportional gain in control systems.
True or False: Proportional Control can completely eliminate steady-state error.
💡 Hint: Think about the limitations we discussed in class.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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)?
💡 Hint: Remember to find the difference first.
Discuss how increasing Kp might affect the stability of your control system and whether it may lead to oscillation at steady state.
💡 Hint: Consider what happens with too much responsiveness.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.