Control stable-loop ramp error calculator

Calculate system integrator type and steady-state ramp error with your own figures.

Your numbers

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

Use system integrator type and steady-state ramp error to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Open-loop numerator coefficients, ascending powers of s
2
Open-loop denominator coefficients, ascending powers of s
0,1
Ramp slope
1
System integrator type
1
Steady-state ramp error
0.5

Try another scenario

Open-loop numerator coefficients, ascending powers of s
[4]
Open-loop denominator coefficients, ascending powers of s
[0, 1]
Ramp slope
1
System integrator type
1
Steady-state ramp error
0.25
Calculation method

Calculation method

System integrator type

Leading zero denominator powers minus numerator leading zero powers.

Steady-state ramp error

Unity negative feedback ramp error, conditional on closed-loop stability.

Symbols and units
a
Open-loop numerator coefficients, ascending powers of s
b
Open-loop denominator coefficients, ascending powers of s
c
Ramp slope

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

  • Unity negative feedback rational open-loop transfer function with ascending-power coefficients. Final-value result is conditional on stable closed-loop dynamics; this calculator does not certify stability. 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. Open-loop numerator coefficients, ascending powers of s: minimum None, maximum 1000000000000.0. Open-loop denominator coefficients, ascending powers of s: minimum None, maximum 1000000000000.0. Ramp slope: minimum None, 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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