SME
Control Systems · Problem type
What each PID term does
Use this for “Which PID term removes the steady-state error to a step?”
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Which term of the PID controller is this?
Tap a card, then tap its group.
The proportional term reacts to the error now, the integral term to the error added up over time, and the derivative term to how fast the error changes.
Assumptions
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The controller output is Kₚ e + Kᵢ ∫e dt + Kd de/dt, where e is the set point minus the output.
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Each card describes one term acting on a loop that the controller keeps stable.
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Related lessons
PID control
Main lesson
PI control: gains for a damping ratio
Use this for “A plant 1/(s + 1) under PI control with Kₚ = 3 and Kᵢ = 8: find ωₙ and ζ of the closed loop.”
Ziegler–Nichols tuning
Use this for “A loop oscillates steadily at Kᵤ = 48 with period Tᵤ = 2.22 s. Find the Ziegler–Nichols PID gains.”