Model-order reduction of coupled DAE systems via epsilon-embedding technique and Krylov subspace method

作者：Jiang Yao Lin^*; Chen Chun Yue; Chen Hai Bao

来源：Journal of the Franklin Institute, 2012, 349(10): 3027-3045.

DOI：10.1016/j.jfranklin.2012.09.004

• Arnoldi algorithm
• Closed-loop
• Coupled systems
• DAE systems
• Differential algebraic equations
• Embedding technique
• Interconnected structures
• Krylov subspace method
• Model order reduction

For a class of coupled systems which include differential-algebraic equation (DAE) subsystems, we discuss model-order reduction (MOR) for them via epsilon-embedding technique and Krylov subspace method. First we change the coupled system into a closed-loop form. Then, both one-sided and two-sided Arnoldi algorithms are used to reduce the closed-loop system. To preserve the interconnected structure, each subsystems can be reduced by the two same algorithms. Next, we show some facts on the error, stability, and passivity for the resulted systems. Finally, we demonstrate the effectiveness of our approach in two examples.

• 出版日期2012-12
• 单位西安交通大学