Difference between revisions of "MORLAB"

Revision as of 18:35, 13 September 2018

MORLAB, the Model Order Reduction LABoratory toolbox, is a collection of MATLAB and Octave routines for model order reduction of dense linear time-invariant continuous-time systems. The toolbox contains model reduction methods for standard and descriptor systems based on the solution of matrix equations. Therefore, also spectral projection based methods for the solution of the corresponding matrix equations are included.

Features

The following main features are provided in the latest release of the software (version 3.0):

Model reduction methods:

Modal truncation method (MT)
Balancing related methods (BT, BST, LQGBT, PRBT, BRBT, HinfBT)
Hankel-norm approximation method (HNA)

Matrix equation solvers:

Matrix sign function based solvers for continuous-time Lyapunov, Sylvester and algebraic Bernoulli equations
Newton-Kleinman type solvers for the continuous-time algebraic Riccati equations with negative quadratic term
Newton type solvers for continuous-time algebraic Riccati equation with positive quadratic term

Further methods:

Routines for the additive decomposition of transfer functions of linear systems
Partial stabilization of linear systems
Newton iteration to compute the matrix sign function
Inverse-free iteration to compute the right matrix pencil disk function

References

P. Benner, S. W. R. Werner, Model reduction of descriptor systems with the MORLAB toolbox, IFAC-PapersOnLine 9th Vienna International Conference on Mathematical Modelling MATHMOD 2018, Vienna, Austria, 21--23 February 2018 51 (2) (2018) 547--552.
P. Benner, A MATLAB repository for model reduction based on spectral projection, in: 2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control, 2006, pp. 19--24.
P. Benner, E. S. Quintana-Ortı́, Model reduction based on spectral projection methods, in: P. Benner, V. Mehrmann, D. Sorensen (Eds.), Dimension Reduction of Large-Scale Systems, Vol. 45 of Lect. Notes Comput. Sci. Eng., Springer, Berlin/Heidelberg, Germany, 2005, pp. 5--45.

Links

Official website: https://www.mpi-magdeburg.mpg.de/projects/morlab
Latest upload on Zenodo: https://zenodo.org/record/842659

Contact

Steffen Werner

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 [[Category:Octave]]
-[[file:MORLAB_Logo.png|150px|right|MORLAB Logo]]
+[[file:MORLAB_Logo.png|220px|right|MORLAB Logo]]
 [http://www.mpi-magdeburg.mpg.de/projects/morlab MORLAB], the '''M'''odel '''O'''rder '''R'''eduction '''LAB'''oratory toolbox, is a collection of [https://de.mathworks.com/products/matlab.html MATLAB] and [https://www.gnu.org/software/octave/ Octave] routines for model order reduction of dense linear time-invariant continuous-time systems.
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 == References ==
-* P. Benner. "<span class="plainlinks">[https://doi.org/10.1109/CACSD-CCA-ISIC.2006.4776618 A MATLAB Repository for Model Reduction Based on Spectral Projection]</span>". Proceedings of the 2006 IEEE Conference on Computer-Aided Control Systems Design, Munich, Germany, October 4-6 pp. 19--24, 2006.
+* P. Benner, S. W. R. Werner, <span class="plainlinks">[https://doi.org/10.1016/j.ifacol.2018.03.092 Model reduction of descriptor systems with the MORLAB toolbox]</span>, IFAC-PapersOnLine 9th Vienna International Conference on Mathematical Modelling MATHMOD 2018, Vienna, Austria, 21--23 February 2018 51 (2) (2018) 547--552.
+* P. Benner, <span class="plainlinks">[https://doi.org/10.1109/CACSD-CCA-ISIC.2006.4776618 A MATLAB repository for model reduction based on spectral projection]</span>, in: 2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control, 2006, pp. 19--24.
+* P. Benner, E. S. Quintana-Ortı́, <span class="plainlinks">[https://doi.org/10.1007/3-540-27909-1_1 Model reduction based on spectral projection methods]</span>, in: P. Benner, V. Mehrmann, D. Sorensen (Eds.), Dimension Reduction of Large-Scale Systems, Vol. 45 of Lect. Notes Comput. Sci. Eng., Springer, Berlin/Heidelberg, Germany, 2005, pp. 5--45.
 == Links ==