Examples
Examples
Try the starting example
- Plant numerator, ascending powers of s
- 1
- Plant denominator, ascending powers of s
- 1,1
- Controller numerator, ascending powers of s
- 2
- Controller denominator, ascending powers of s
- 1
- Frequency (Hz)
- 0.1
- Disturbance location: 0 plant input; 1 plant output
- 0
- Disturbance transfer real-imaginary
- [0.319326122217,-0.0668795066437]
- Disturbance response magnitude
- 0.326255
Try another scenario
- Plant numerator, ascending powers of s
- [1]
- Plant denominator, ascending powers of s
- [1, 1]
- Controller numerator, ascending powers of s
- [2]
- Controller denominator, ascending powers of s
- [1]
- Frequency (Hz)
- 0.2
- Disturbance location: 0 plant input; 1 plant output
- 0
- Disturbance transfer real-imaginary
- [0.283577014258,-0.118784461963]
- Disturbance response magnitude
- 0.30745
Calculation method
Calculation method
Disturbance transfer real-imaginary
Plant/(1+plant×controller) for input disturbance; 1/(1+plant×controller) at output.
Disturbance response magnitude
Magnitude of the complex disturbance transfer.
Symbols and units
- a
- Plant numerator, ascending powers of s
- b
- Plant denominator, ascending powers of s
- c
- Controller numerator, ascending powers of s
- d
- Controller denominator, ascending powers of s
- e
- Frequency (Hz)
- f
- Disturbance location: 0 plant input; 1 plant output
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
- Plant-controller models, disturbance location. Returns Disturbance transfer response. 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. Plant numerator, ascending powers of s: minimum None, maximum 1000000000000.0. Plant denominator, ascending powers of s: minimum None, maximum 1000000000000.0. Controller numerator, ascending powers of s: minimum None, maximum 1000000000000.0. Controller denominator, ascending powers of s: minimum None, maximum 1000000000000.0. Frequency (Hz): minimum 1e-12, maximum 1000000000000.0. Disturbance location: 0 plant input; 1 plant output: minimum 0, maximum 1.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.