Week 11
P, PI, and PID Control
I follow the saved course materials and calculations from modeling through stability, root locus, and frequency response.
What I connect in this unit
Proportional action responds to present error, integral action removes accumulated offset, and derivative action adds damping from error rate. Combining them trades rise time, steady-state error, and overshoot against integral windup and derivative noise sensitivity.
Concept map
- Proportional action
- Integral action
- Derivative action
- Response trade-offs
Technical anchor
Use u(t)=Kp e(t)+Ki∫e(t)dt+Kd de(t)/dt as the reference and compare responses with each action introduced separately. For an implementable form, include a low-pass filter on the derivative path.
How I review it
Place P, PI, and PID step responses beside their control-effort plots for the same plant and reference, checking whether improved tracking demands excessive actuation or amplifies noise.
Connection to the full course
Unit 11 of 12. Unit numbers organize the concepts found in the materials and do not reproduce an attendance schedule.