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Error signal

As explained in Optimization Algorithms: AI techniques for design, planning, and control problems

An error signal is the difference between a desired system state and the corresponding measured or feedback state.

An error signal is the difference between a desired state and its measured or feedback state. In closed-loop control, it tells the controller how far the system is from its target and guides corrective action. section 8.7

Room-temperature control

A thermostat compares the desired room temperature with the current measurement. If the room is too cold or too warm, the resulting error signal drives a heater or cooler to reduce the difference. section 8.7

A PID controller responds to different properties of the error:

  • The proportional term responds to the current error magnitude. section 8.7
  • The integral term responds to accumulated error over time. section 8.7
  • The derivative term responds to the rate at which error changes. section 8.7

How Optimization Algorithms: AI techniques for design, planning, and control problems covers it

How deep it goes
Explains definition, PID responses, and step-response effects without deriving controller equations in detail.
Examples
Uses room temperature, heater switching, PID terms, and plotted step-response metrics as concrete examples.
What it assumes
Assumes only a desired state, a measured or feedback state, and their comparison.
What you can do after
Evaluate control performance using error, rise time, settling time, overshoot, and steady-state response.
How it connects
Connects error signals to feedback control, PID controllers, control signals, step responses, and steady-state error.
Cover of Optimization Algorithms: AI techniques for design, planning, and control problems
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Related concepts

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.