scholarly journals Structure-preserving interpolation for model reduction of parametric bilinear systems

Automatica ◽  
2021 ◽  
Vol 132 ◽  
pp. 109799
Author(s):  
Peter Benner ◽  
Serkan Gugercin ◽  
Steffen W.R. Werner
Keyword(s):  
Model Reduction ◽  
Bilinear Systems ◽  
Structure Preserving

scholarly journals Structure-preserving interpolation of bilinear control systems

2021 ◽  
Vol 47 (3) ◽  
Author(s):  
Peter Benner ◽  
Serkan Gugercin ◽  
Steffen W. R. Werner
Keyword(s):  
Model Reduction ◽  
Control Systems ◽  
Explicit Construction ◽  
Bilinear Systems ◽  
Single Input Single Output ◽  
Structure Preserving ◽  
Bilinear Control ◽  
Single Output ◽  
Bilinear Control Systems ◽  
Matrix Interpolation

AbstractIn this paper, we extendthe structure-preserving interpolatory model reduction framework, originally developed for linear systems, to structured bilinear control systems. Specifically, we give explicit construction formulae for the model reduction bases to satisfy different types of interpolation conditions. First, we establish the analysis for transfer function interpolation for single-input single-output structured bilinear systems. Then, we extend these results to the case of multi-input multi-output structured bilinear systems by matrix interpolation. The effectiveness of our structure-preserving approach is illustrated by means of various numerical examples.

Model reduction in power systems using a structure-preserving balanced truncation approach

2019 ◽  
Vol 177 ◽  
pp. 106002
Author(s):  
Johnny Leung ◽  
Michel Kinnaert ◽  
Jean-Claude Maun ◽  
Fortunato Villella
Keyword(s):  
Power Systems ◽  
Model Reduction ◽  
Balanced Truncation ◽  
Structure Preserving

scholarly journals Model reduction of homogeneous-in-the-state bilinear systems with input constraints

Automatica ◽  
2011 ◽  
Vol 47 (4) ◽  
pp. 761-768 ◽  
Author(s):  
Ian J. Couchman ◽  
Eric C. Kerrigan ◽  
Christoph Böhm
Keyword(s):  
Model Reduction ◽  
Bilinear Systems ◽  
The State ◽  
Input Constraints

scholarly journals Structure-preserving tangential interpolation for model reduction of port-Hamiltonian systems

Automatica ◽  
2012 ◽  
Vol 48 (9) ◽  
pp. 1963-1974 ◽  
Author(s):  
Serkan Gugercin ◽  
Rostyslav V. Polyuga ◽  
Christopher Beattie ◽  
Arjan van der Schaft
Keyword(s):  
Model Reduction ◽  
Hamiltonian Systems ◽  
Structure Preserving

Time-interval model reduction of bilinear systems

2014 ◽  
Vol 87 (8) ◽  
pp. 1487-1495 ◽  
Author(s):  
Hamid Reza Shaker ◽  
Maryamsadat Tahavori
Keyword(s):  
Model Reduction ◽  
Bilinear Systems ◽  
Time Interval ◽  
Interval Model
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