Control actuator saturation duty calculator

Calculate clipped command trace and saturated sample fraction with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use clipped command trace and saturated sample fraction to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Uniform-time command samples
0,2,8,12,-3
Actuator lower bound
0
Actuator upper bound
10
Sample duration (seconds)
0.1
Clipped command trace
[0,2,8,10,0]
Saturated sample fraction
0.4
Absolute excess demand integral
0.5

Try another scenario

Uniform-time command samples
[0, 5, 15, -5]
Actuator lower bound
0
Actuator upper bound
10
Sample duration (seconds)
0.1
Clipped command trace
[0,5,10,0]
Saturated sample fraction
0.5
Absolute excess demand integral
1
Calculation method

Calculation method

Clipped command trace

Clamp each command to actuator bounds.

Saturated sample fraction

Samples outside bounds / all samples.

Absolute excess demand integral

Sum absolute command-minus-clamped demand × sample duration.

Symbols and units
a
Uniform-time command samples
b
Actuator lower bound
c
Actuator upper bound
d
Sample duration (seconds)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Command trace, actuator bounds. Returns Saturated time fraction and excess demand. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Uniform-time command samples: minimum None, maximum 1000000000000.0. Actuator lower bound: minimum None, maximum 1000000000000.0. Actuator upper bound: minimum 1e-12, maximum 1000000000000.0. Sample duration (seconds): minimum 1e-12, maximum 1000000000000.0.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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