Splitting model reduction for bilinear control systems

2021 ◽  
Author(s):  
Yao Huang ◽  
Yao‐Lin Jiang ◽  
Zhi‐Yong Qiu
Keyword(s):  
Model Reduction ◽  
Control Systems ◽  
Bilinear Control ◽  
Bilinear Control Systems

Model Reduction of Bilinear Control Systems

1983 ◽  
Author(s):  
Chin S. Hsu ◽  
C. A. Crawley ◽  
Uday B. Desai
Keyword(s):  
Model Reduction ◽  
Control Systems ◽  
Bilinear Control ◽  
Bilinear Control Systems

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.

Analysis of attainability sets of bilinear control systems

2017 ◽  
Author(s):  
A. V. Ekimov ◽  
Yu. E. Balykina ◽  
M. V. Svirkin
Keyword(s):  
Control Systems ◽  
Bilinear Control ◽  
Bilinear Control Systems

Observer Design of Bilinear Systems

1983 ◽  
Vol 105 (3) ◽  
pp. 206-208 ◽  
Author(s):  
Chin Shung Hsu ◽  
V. R. Karanam
Keyword(s):  
Control Systems ◽  
Pole Assignment ◽  
Bilinear Systems ◽  
Observer Design ◽  
Observer Error ◽  
Design Procedures ◽  
Bilinear Control ◽  
New Class ◽  
Bilinear Control Systems ◽  
Error Behavior

In this paper, recent results on the observer design of bilinear control systems (BLS) are first reviewed. Different design procedures are examined with respect to their associated observer error behavior. A new class of BLS observers which can be designed via pole-assignment algorithms is then presented.

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