Transforming between Mathematical Representations of Systems, Overview

 This document is a compilation of all of the pages relating to the transformation between different mathematical representations of systems.  It is useful for printing.

Contents

Transformation     Description
CDE → 1DE   Coupled Differential Equation to Single Differential Equation
1DE ↔ TF   Single Differential Equation to/from Transfer Function
1DE ↔ SS   Single Differential Equation to/from State Space
1DE ↔ PZ   Single Differential Equation to/from Pole Zero
1DE ↔ SFG   Single Differential Equation to/from Signal Flow Graph/Block Diagram
TF ↔ SS Transfer Function to/from State Space
TF ↔ PZ   Transfer Function to/from State Space
TF ↔ SFG   Transfer Function to/from State Space
SS ↔ SS   State Space to/from State Space
SS ↔ PZ State Space to/from Pole Zero
SS ↔ SFG   State Space to/from Signal Flow Graph/Block Diagram
PZ ↔ SFG     Pole Zero to/from Signal Flow Graph/Block Diagram













References

© Copyright 2005 to 2014 Erik Cheever    This page may be freely used for educational purposes.

Erik Cheever       Department of Engineering         Swarthmore College