Description
Calculate signed error beyond a symmetric supplied deadband.
Control terms depend on error sign, units, sample timing, saturation direction and state conventions. Hysteresis retains state between thresholds, while deadband mapping and output clamping describe different operations. A negative loop-sign product or small scalar derivative does not establish closed-loop stability or safe operation.
Calculate signed error beyond a symmetric supplied deadband.
When to use this tool
Use Control Error Deadband Edge Distance when you already have error, halfWidth and need to calculate signed error beyond a symmetric supplied deadband.
How to use the tool and how it works
- Enter error, halfWidth. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read outsideError, insideDeadband. Inspect insideDeadband before interpreting the associated values.
Require halfWidth>=0; error above +width returns error-width, below -width returns error+width, otherwise zero. insideDeadband uses abs(error)<=width.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| error | Error | Required. Finite number. |
| halfWidth | Half Width | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| outsideError | Signed distance beyond the nearest symmetric deadband edge, or zero within/on either edge. | Required. Finite number. |
| insideDeadband | Inside Deadband | Required. Boolean. |
{
"input": {
"error": 5,
"halfWidth": 2
},
"output": {
"outsideError": 3,
"insideDeadband": false
}
}Limitations and assumptions
- Both endpoints are inside. This shifts outside error toward zero rather than returning raw error; no controller tuning, noise model or safe tolerance is selected.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use a complete plant, controller, actuator and timing model with verified operating constraints for control decisions. Check interactions among saturation, integrator state, gains and delays; individual algebraic terms do not tune a controller or validate system stability or safety.
References
Similar or alternative tools
- Two Threshold Controller Next State
Calculate one two-threshold controller state under an explicit hysteresis rule.
- Actuator Saturation Residual
Clamp a requested output to supplied bounds and return its signed residual.