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\(H_\infty \) Model Reduction for the Distillation Column Linear System

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Abstract

In the paper, the problem of model reduction is considered for the distillation column linear system. For a given stable distillation column linear system, the objective is to find the construction of a reduced-order model, which approximates the original system well in the robust \(H_\infty \) performance. Some sufficient conditions to characterize the \(H_\infty \) norm bound error performance are proposed in terms of linear matrix inequalities (LMIs). Following the proposed projection approach, the \(H_\infty \) model reduction problem is solved, which casts the model reduction subject to LMIs constraints. Finally, a practical example of the distillation column linear system is provided to illustrate the effectiveness of the proposed method.

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Acknowledgments

This work is partially supported by the National Natural Science Foundation of China (61075060), the Innovation Program of Shanghai Municipal Education Commission (12zz064), the Fundamental Research Funds for the Central Universities (BC201136), the Science and Technology Research Key Program for the Education Department of Hubei Province of China (D20126002), the Science and Technology Research Youth Project for the Education Department of Hubei Province of China (Q20145001), the Key Natural Science Foundation of Yunyang Teachers’ College (2013A05), and China Postdoctoral Science Foundation (2012M511663).

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Authors and Affiliations

  1. College of Information Science and Technology, Donghua University, Shanghai , 201620, China

    Dongbing Tong, Wuneng Zhou & Anding Dai

  2. School of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore , 639798, Singapore

    Dongbing Tong, Han Wang & Xiaozheng Mou

  3. Computer School of Wuhan University, Wuhan , 430079, China

    Yuhua Xu

  4. Department of Mathematics and Finance, Yunyang Teachers’ College, Hubei , 442000, China

    Yuhua Xu

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  1. Dongbing Tong
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  2. Wuneng Zhou
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  3. Anding Dai
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  4. Han Wang
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  5. Xiaozheng Mou
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  6. Yuhua Xu
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Correspondence to Dongbing Tong or Wuneng Zhou.

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Tong, D., Zhou, W., Dai, A. et al. \(H_\infty \) Model Reduction for the Distillation Column Linear System. Circuits Syst Signal Process 33, 3287–3297 (2014). https://doi.org/10.1007/s00034-014-9802-9

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  • DOI: https://doi.org/10.1007/s00034-014-9802-9

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