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An Innovative Frequency-Limited Interval Gramians-Based Model Order Reduction Method Using Singular Value Decomposition

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Communication and Intelligent Systems (ICCIS 2023)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 968))

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Abstract

The widely used frequency-limited Gramians-based model order reduction method for continuous-time systems, originally developed by Gawronski and Juang, yields unstable reduced-order models. To address this significant flaw, many researchers proposed a way to keep the reduced-order model stable. However, under some circumstances, these contemporary approaches also result in an unstable reduced-order model and a significant variation from the original system, leading to a significant approximation error. The present article proposes a new structure for stable continuous-time systems based on limited-interval Gramians. The suggested structure ensures that a low frequency–response approximation error is attained for the specified limited interval and ensures the stability of the reduced-order model. The stated technique provided consistent and accurate results by proving its efficacy when compared to other conventional approaches.

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Authors and Affiliations

  1. MNNIT Allahabad, Prayagraj, Uttar Pradesh, 211004, India

    Vineet Sharma & Deepak Kumar

  2. Poornima College of Engineering, Jaipur, Rajasthan, 302017, India

    Vineet Sharma

Authors
  1. Vineet Sharma
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  2. Deepak Kumar
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Corresponding author

Correspondence to Vineet Sharma .

Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, Rajasthan Technical University, Kota, Rajasthan, India

    Harish Sharma

  2. Department of Electrical and Electronics Engineering, National Institute of Technology Uttarakhand, Srinagar, Uttarakhand, India

    Vivek Shrivastava

  3. Department of Computer Science, Malaviya National Institute of Technology, Jaipur, Rajasthan, India

    Ashish Kumar Tripathi

  4. School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, Singapore

    Lipo Wang

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© 2024 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Sharma, V., Kumar, D. (2024). An Innovative Frequency-Limited Interval Gramians-Based Model Order Reduction Method Using Singular Value Decomposition. In: Sharma, H., Shrivastava, V., Tripathi, A.K., Wang, L. (eds) Communication and Intelligent Systems. ICCIS 2023. Lecture Notes in Networks and Systems, vol 968. Springer, Singapore. https://doi.org/10.1007/978-981-97-2079-8_15

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