Steady-state error is the difference between a desired output and the actual output after the system reaches a stable condition.
Steady-state error measures the difference between a desired output and the actual output after a system reaches a stable condition. It is one of the key response measures used when tuning a PID controller. section 8.7
Room-temperature control
For a heater, the controller compares the room temperature with the desired set point. A remaining difference after the temperature stabilizes is the steady-state error; the control objective is to reduce it toward zero. section 8.7
How Optimization Algorithms: AI techniques for design, planning, and control problems covers it
How deep it goes
Defines the metric and compares PID parameter effects, but stops short of deriving the control equations.
Examples
Uses a heater tracking room temperature and a step response with reported steady-state value.
What you can do after
Evaluate steady-state tracking by comparing a desired value with the system output after stabilization.
How it connects
Connects steady-state error with PID controllers, closed-loop control, rise time, settling time, and overshoot.
This explainer was generated by Manning's knowledge graph from the text of Optimization Algorithms: AI techniques for design, planning, and control problems. The section links point to the parts of the book it draws on.
