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Delay and Its Time-Derivative-Dependent Model Reduction for Neutral-Type Control System

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Abstract

This paper is concerned with the problem of model reduction for neutral-type control system. For a given stable neutral-type control system, our attention is focused on the construction of a reduced-order model, which not only approximates the original system well in a robust performance but is also translated into a linear lower-dimensional system. Sufficient condition is proposed for the asymptotic stability with an error performance for the error system. Then, the model reduction problem is solved by using the projection approach, which casts the model reduction subject to linear matrix inequality constraints by employing the cone complementary linearization algorithm. Moreover, by further extending the results, model reduction with special structures is obtained, i.e., no neutral-type model. A numerical simulation example is provided to demonstrate the effectiveness and applicability of the proposed controller design approach.

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Acknowledgments

This work is partially supported by the National Natural Science Foundation of China (61673257, 11501367), the Natural Science Foundation of Shanghai (15ZR1419000), the Chinese Postdoctoral Science Foundation (2015M581528), the Young Teacher Training Scheme of Shanghai Universities (ZZGCD15004, ZZLX15031), the “Zhanchi” Talents Plan of Shanghai University of Engineering Science (nhrc-2015-18), Doctoral Starting Foundation of Shanghai University of Engineering Science (Xiaoqi 2015-21) and the Scientific Research Foundation of SLUC (14-1908-00-06017, 2015QNYB04).

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Authors and Affiliations

  1. Adaptive Networks and Control Lab, Department of Electronic Engineering, Fudan University, Shanghai, 200433, China

    Dongbing Tong

  2. College of Electronic and Electrical Engineering, Shanghai University of Engineering Science, Shanghai, 201620, China

    Dongbing Tong

  3. School of Statistics and Mathematics, Shanghai Lixin University of Accounting and Finance, Shanghai, 201620, China

    Qiaoyu Chen

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  1. Dongbing Tong
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Correspondence to Dongbing Tong or Qiaoyu Chen.

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Tong, D., Chen, Q. Delay and Its Time-Derivative-Dependent Model Reduction for Neutral-Type Control System. Circuits Syst Signal Process 36, 2542–2557 (2017). https://doi.org/10.1007/s00034-016-0411-7

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  • DOI: https://doi.org/10.1007/s00034-016-0411-7

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