A Tangential Interpolation Algorithm for Optimal H2 Model Reduction with Stability Guarantee

Computational and Information Sciences(2013)

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摘要
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.
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optimal h2 model reduction,large scale system,tangential interpolation,h2 control,optimal control,interpolation,reduced order systems,multi-input multi-output system,h2 model reduction problem,large-scale system,stability guarantee,stable iterative tangential interpolation algorithm,large-scale systems,proposed algorithm,numerical simulation,stable iterative tangential interpolation,tangential interpolation algorithm,optimal h2 model reduction problem,stability,numerical example,large scale system control,iterative methods,reduced system,siti,mathematical model,stability analysis,numerical stability
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