Emgr

emgr - Empirical Gramian Framework. Empirical gramians can be computed for linear and nonlinear control systems for purposes of model order reduction or system identification. Model reduction using empirical gramians can be applied to the state space, to the parameter space or to both through combined reduction. The emgr framework is a compact open source toolbox for gramian-based model reduction and compatible with OCTAVE and MATLAB.

Features

emgr encompasses six types of gramians:

• Empirical Controllability Gramian
• Empirical Observability Gramian
• Empirical Cross Gramian
• Empirical Sensitivity Gramian
• Empirical Identifiability Gramian
• Empirical Joint Gramian

applicable to:

• linear + nonlinear systems
• first + second order systems
• parametric systems
• time invariant systems

and with sample implementations for:

• Balanced Truncation
• Direct Truncation
• Parameter Identification
• Parameter Reduction
• Combined Reduction
• Inverse Problems

References

• C. Himpe, M. Ohlberger "A Unified Software Framework for Empirical Gramians", 2012

Links

• http://gramian.de