Model Order Reduction of Positive Real Systems Based on Mixed Gramian Balanced Truncation with Error Bounds

2021 ◽  
Author(s):  
Zeinab Salehi ◽  
Paknoosh Karimaghaee ◽  
Mohammad-Hassan Khooban
Keyword(s):  
Error Bounds ◽  
Model Order Reduction ◽  
Order Reduction ◽  
Balanced Truncation ◽  
Positive Real ◽  
Model Order

Second Order Model Reduction Based on Diagonal Blocks of Gramians

2011 ◽  
Vol 317-319 ◽  
pp. 2359-2366
Author(s):  
Cong Teng
Keyword(s):  
Model Order Reduction ◽  
Large Scale ◽  
Order Reduction ◽  
Second Order ◽  
Balanced Truncation ◽  
Order Model ◽  
Model Order ◽  
Linear Dynamical Systems ◽  
Large Scale Systems ◽  
New Algorithms

In this paper, some new algorithms based on diagonal blocks of reachability and observability Gramians are presented for structure preserving model order reduction on second order linear dynamical systems. They are more suitable for large scale systems compared to existing Gramian based algorithms, namely second order balanced truncation methods. In experiments, they have similar performance as the existing techniques.

Sign in / Sign up

Export Citation Format

Share Document