Converter
This tool allows engineers and students to easily convert state-space representations to transfer functions, facilitating analysis and design in control systems.
Conversion Results
The transfer function will appear here after conversion.
Data Source and Methodology
All calculations are strictly based on formulas and data provided by authoritative sources in control systems engineering.
The Formula Explained
Transfer Function: \( H(s) = C(sI - A)^{-1}B + D \)
Glossary of Variables
- A: State matrix
- B: Input matrix
- C: Output matrix
- D: Feedthrough (or direct transmission) matrix
FAQs
What is a transfer function?
A transfer function expresses the relationship between the input and output of a system in the Laplace transform domain.
How do I enter a matrix?
Matrices should be entered row by row, with elements separated by spaces and rows separated by semicolons.
Why use this converter?
This converter simplifies the process of transforming complex state-space models into more intuitive transfer functions, essential for control system analysis.
Formula (LaTeX) + variables + units
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Transfer Function: \( H(s) = C(sI - A)^{-1}B + D \)
- T = property tax (annual or monthly depending on input) (currency)
- NIST — Weights and measures — nist.gov · Accessed 2026-01-19
https://www.nist.gov/pml/weights-and-measures - NIST — SI units — nist.gov · Accessed 2026-01-19
https://www.nist.gov/pml/owm/metric-si/si-units
Last code update: 2026-01-19
- Initial audit spec draft generated from HTML extraction (review required).
- Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
- Confirm sources are authoritative and relevant to the calculator methodology.