MORLAB

MORLAB, the Model Order Reduction LABoratory toolbox, is a collection of MATLAB 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.

Methods

The following main methods 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 equation
• Riccati iteration solver for the algebraic Riccati equation with indefinite quadratic terms

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. "A MATLAB Repository for Model Reduction Based on Spectral Projection". Proceedings of the 2006 IEEE Conference on Computer-Aided Control Systems Design, Munich, Germany, October 4-6 pp. 19-24, IEEE 2006.

Contact

Steffen Werner