For the 2d heat equation (with boundary control and Neumann observation) as a toy example, implementation of a Model Order Reduction method Balanced truncation method using the Control system toolbox of Matlab.
Reference: Model order reduction via balanced truncation and proper orthogonal decomposition, Charlotte Rodriguez (Master Thesis).
- Available in this folder: Master-Thesis.pdf
- See also the slides: slides-oct-2018.pdf
Some pictures:
- approximate solution
- Hankel singular values and error estimates
