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Study on Model Reduction Algorithm Based on Schur Analysis

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Research in Intelligent and Computing in Engineering

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1254))

Abstract

The paper introduced a model reduction algorithm based on Schur analysis. The main idea of ​​the algorithm is to preserve the dominant points of the original system in the reduced system through the use of Schur analysis to arrange the polar points in descending order of dominance on the main diagonal of the upper triangular matrix A. The paper also proposed a solution that the model reduction algorithm based on Schur analysis can reduce order for both stable and unstable systems. Illustrative examples demonstrated the correctness of the proposed solutions and algorithms.

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Acknowledgements

This research was supported by Research Foundation funded by Thai Nguyen University of Technology.

Author information

Authors and Affiliations

  1. Thai Nguyen University of Technology, Thai Nguyen, Vietnam

    Ngoc Kien Vu, Hong Quang Nguyen & Kien Trung Ngo

  2. Hanoi University of Science and Technology, Hanoi, Vietnam

    Phuong Nam Dao

Authors
  1. Ngoc Kien Vu
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  2. Hong Quang Nguyen
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  3. Kien Trung Ngo
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  4. Phuong Nam Dao
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Corresponding author

Correspondence to Hong Quang Nguyen .

Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, GIET University, Gunupur, Odisha, India

    Raghvendra Kumar

  2. Institute of Engineering and Technology, Thu Dau Mot University, Binh Duong, Vietnam

    Nguyen Ho Quang

  3. CMR Institute of Technology, Hyderabad, Telangana, India

    Vijender Kumar Solanki

  4. Universidad Don Bosco, Antiguo Cuscatlán, El Salvador

    Manuel Cardona

  5. KIIT Deemed to be University, Bhubaneswar, Odisha, India

    Prasant Kumar Pattnaik

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Vu, N.K., Nguyen, H.Q., Ngo, K.T., Dao, P.N. (2021). Study on Model Reduction Algorithm Based on Schur Analysis. In: Kumar, R., Quang, N.H., Kumar Solanki, V., Cardona, M., Pattnaik, P.K. (eds) Research in Intelligent and Computing in Engineering. Advances in Intelligent Systems and Computing, vol 1254. Springer, Singapore. https://doi.org/10.1007/978-981-15-7527-3_18

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