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Fractional-Order Boundary Controller of the Anti-stable Vibration Systems

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Advances in Neural Networks – ISNN 2011 (ISNN 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6675))

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Abstract

This paper discusses the boundary controller of string vibration systems, a new boundary controller of string anti-stable vibration system based on fractional calculus will be considered. This paper presents a boundary control method of anti-stable vibration systems. The fractional controller of the anti-stable system is obtained from the integer-order controller by replacing the first-order time derivative with a fractional derivative of order b. Numerical simulations are used to illustrate the improvements of the proposed controller for the anti-stable vibration systems.

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Author information

Authors and Affiliations

  1. College of Information Science and Engineering, Shenyang ligong University, Shenyang, China

    Yanzhu Zhang, Xiaoyan Wang & Yanmei Wang

Authors
  1. Yanzhu Zhang
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  2. Xiaoyan Wang
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  3. Yanmei Wang
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Editor information

Editors and Affiliations

  1. Institute of Automation, Key Laboratory of Complex Systems and Intelligence Science, Chinese Academy of Sciences, 100190, Beijing, China

    Derong Liu

  2. College of Information Science and Engineering, Shenyang, Northeastern University, 110004, Liaoing, China

    Huaguang Zhang

  3. Department of Electrical and Computer Engineering, University of Cyprus, 75 Kallipoleos Avenue, 1678, Nicosia, Cyprus

    Marios Polycarpou

  4. Dipartimento di Elettronica, Politecnico di Milano, Piazza L. da Vinci 32, 20133, Milano, Italy

    Cesare Alippi

  5. Deptartment of Electrical, Computer and Biomedical Engineering, University of Rhode Island, RI 02881, Kingston, USA

    Haibo He

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© 2011 Springer-Verlag Berlin Heidelberg

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Zhang, Y., Wang, X., Wang, Y. (2011). Fractional-Order Boundary Controller of the Anti-stable Vibration Systems. In: Liu, D., Zhang, H., Polycarpou, M., Alippi, C., He, H. (eds) Advances in Neural Networks – ISNN 2011. ISNN 2011. Lecture Notes in Computer Science, vol 6675. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21105-8_37

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  • DOI: https://doi.org/10.1007/978-3-642-21105-8_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21104-1

  • Online ISBN: 978-3-642-21105-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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