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Improved Decentralized Fractional PD Control of Structure Vibrations

Author

Listed:
  • Kang Xu

    (College of Civil Engineering, Hefei University of Technology, Hefei 230009, China)

  • Liping Chen

    (School of Electrical Engineering and Automation, Hefei University of Technology, Hefei 230009, China)

  • Minwu Wang

    (College of Civil Engineering, Hefei University of Technology, Hefei 230009, China)

  • António M. Lopes

    (UISPA–LAETA/INEGI, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, 4200-465 Porto, Portugal)

  • J. A. Tenreiro Machado

    (Institute of Engineering, Polytechnic of Porto, Department of Electrical Engineering, R. Dr. António Bernardino de Almeida, 431, 4249-015 Porto, Portugal)

  • Houzhen Zhai

    (The 29th research Institute of CETC, Chengdu 610036, China)

Abstract

This paper presents a new strategy for the control of large displacements in structures under earthquake excitation. Firstly, an improved fractional order proportional-derivative (FOPD) controller is proposed. Secondly, a decentralized strategy is designed by adding a regulator and fault self-regulation to a standard decentralized controller. A new control architecture is obtained by combining the improved FOPD and the decentralized strategy. The parameters of the control system are tuned using an intelligent optimization algorithm. Simulation results demonstrate the performance and reliability of the proposed method.

Suggested Citation

  • Kang Xu & Liping Chen & Minwu Wang & António M. Lopes & J. A. Tenreiro Machado & Houzhen Zhai, 2020. "Improved Decentralized Fractional PD Control of Structure Vibrations," Mathematics, MDPI, vol. 8(3), pages 1-13, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:326-:d:327173
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    References listed on IDEAS

    as
    1. Jianhui Wang & Wenli Chen & Zicong Chen & Yunchang Huang & Xing Huang & Wenqiang Wu & Biaotao He & Chunliang Zhang, 2019. "Neural Terminal Sliding-Mode Control for Uncertain Systems with Building Structure Vibration," Complexity, Hindawi, vol. 2019, pages 1-9, April.
    2. Chen, Liping & Wu, Ranchao & He, Yigang & Yin, Lisheng, 2015. "Robust stability and stabilization of fractional-order linear systems with polytopic uncertainties," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 274-284.
    3. Zhang, Lingzhong & Yang, Yongqing & Wang, Fei, 2017. "Projective synchronization of fractional-order memristive neural networks with switching jumps mismatch," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 402-415.
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