A set of MATLAB scripts to perform structured system identification of SISO RC-ladder type systems of the form:
The code is divided into several parts:
| Name | Description | Link to paper |
|---|---|---|
IDMonteCarlo.m |
Main script to run the algorithm for the examples in [1] | Section III |
GenerateFigures.m |
Script to visualize data from the paper | Figure 3 |
| Name | Description | Link to paper |
|---|---|---|
RCLadderN.m |
Generates an admittance state-space model from a vector of R and C parameters. | Equation 2 |
RCLadder2Theta.m |
Performs the conversion between a state-space model already placed in the correct form into a vector of resistance and capacitance parameters (inverse of RCLadderN.m). |
Equation 2, line (7) from Algorithm 1. |
RCLadderDiagScaling.m |
Performs the procedure to restore the unknown diagonal scaling. | Section II-B, line (10) from Algorithm 1. |
The folder /Tridiagonal Matrix Operations containing script to manipulate tridiagonal matrices:
| Name | Description | Link to paper |
|---|---|---|
tridiagcrout.m |
Crout LU factorization | Section II-E, line (20) from Algorithm 1. |
tridiaglanczos.m |
Performs the orthogonal Lanczos process | Section II-B, line (5) from Algorithm 1. |
tridiagpartlett.m |
Partlett tridiagonalization procedure. | Not used. |
tridiagsim.m |
Tridiagonalization via similarity transformations. | Not used. |
tridiagsymmetrize.m |
Compute the similarity transformation to symmetrize a tridiagonal matrix. | Not used. |
The /Other Methods folder contains implementations of:
/Calzavara2021: reference [9] from the paper (partial implementation)./Hwang1984: reference [7] from the paper./Yu2018: reference [18] from the paper.
The methods 2. and 3. from above were used in the comparison from the paper.
This folder includes graphics for Figure 3.
This folder includes data from Figure 3.
Please cite if this work is useful to you. These scripts were used in the following publication:
Hannigan, B. C. & Menon, C. (2023). Fast, analytical method for structured identification of SISO RC-ladder-type systems. IEEE Transactions on Circuits and Systems II: Express Briefs, 1. https://doi.org/10.1109/TCSII.2023.3340505
©2023 ETH Zurich, Brett Hannigan; D-HEST; Biomedical and Mobile Health Technology (BMHT) Lab; Carlo Menon