Description
Return the bias needed to preserve a supplied controller output.
Controller calculations combine state, gain, error and reset conventions. A one-step update or output-balance target describes one part of a controller and does not implement, tune or establish the stability of a complete plant-control loop.
Return the bias needed to preserve a supplied controller output.
When to use this tool
Use Controller Reset Bias Gap when checking one explicit controller-state or term update.
How to use the tool and how it works
- Enter outputBefore, proportionalAfter, integralAfter, derivativeAfter, feedforwardAfter. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read requiredBias. Use the output convention below.
Return the bias needed to preserve a supplied controller output. requiredBias = outputBefore-proportionalAfter-integralAfter-derivativeAfter-feedforwardAfter.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| outputBefore | Output Before | Required. Finite number. |
| proportionalAfter | Proportional After | Required. Finite number. |
| integralAfter | Integral After | Required. Finite number. |
| derivativeAfter | Derivative After | Required. Finite number. |
| feedforwardAfter | Feedforward After | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| requiredBias | Required Bias | Required. Finite number. |
{
"input": {
"outputBefore": 10,
"proportionalAfter": 3,
"integralAfter": 2,
"derivativeAfter": 1,
"feedforwardAfter": 1
},
"output": {
"requiredBias": 3
}
}Limitations and assumptions
- This is a term balance only, without actuator dynamics, saturation or guaranteed bumpless system behavior.
- 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 the full controller and plant model, numerical implementation and qualified verification for actual operation or transitions.
References
Similar or alternative tools
- Controller Reset State Residual
Apply supplied state resets and return target residuals.
- Controller Bumpless Transfer Integral Offset
Return the integral term needed for a supplied bumpless output balance.