Title :
A Tangential Interpolation Algorithm for Optimal H2 Model Reduction with Stability Guarantee
Author :
Taishan Zeng ; Jian Chen ; Chunyuan Lu
Author_Institution :
Sch. of Math. Sci., South China Normal Univ., Guangzhou, China
Abstract :
The optimal H2 model reduction problem is very important for numerical simulation and control of large scale systems. In this paper, we propose a stable iterative tangential interpolation algorithm (SITI) to address this problem. The proposed algorithm guarantees the stability of the reduced system. And it is suitable for the reduction of large-scale systems. Numerical examples show the effectiveness of the proposed algorithm.
Keywords :
H2 control; interpolation; iterative methods; large-scale systems; optimal control; reduced order systems; stability; SITI; large scale system control; optimal H2 model reduction problem; stability guarantee; stable iterative tangential interpolation algorithm; Eigenvalues and eigenfunctions; Equations; Interpolation; Mathematical model; Numerical stability; Reduced order systems; Stability analysis; multi-input multi-output system; optimal H2 model reduction; stability; tangential interpolation;
Conference_Titel :
Computational and Information Sciences (ICCIS), 2013 Fifth International Conference on
Conference_Location :
Shiyang
DOI :
10.1109/ICCIS.2013.257
