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Active vibration-attenuation controller design for uncertain structural systems with input time-delay

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Abstract

The problem of active vibration control for uncertain linear structural systems with control forces input timedelay is investigated in this study. First, the original structural equation is converted to a state-space model by utilizing the matrix transformation. Second, according to the obtained model and a special Lyapunov functional, a sufficient condition is achieved for the closed-loop system to be stable with a prescribed level of disturbance attenuation. Then, in terms of solving these linear matrix inequalities (LMIs), the state-feed controller is achieved to stabilize the structural system with the performance ∥z∥2 <γ∥ω∥2. Third, by introducing the rank-1 vector to describe the system uncertainties, the uncertain system description is obtained, and the stabilizing condition is extended to the uncertain case. Finally, examples are given to show the effectiveness of the proposed methods.

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Authors and Affiliations

  1. Jiangxi Key Laboratory of Mining Engineering, Jiangxi University of Science and Technology, Ganzhou, Jiangxi, 341000, China

    Yuanchun Ding & Minkang Tang

  2. Faculty of Electrical Engineering and Automation, Jiangxi University of Science and Technology, Ganzhou, Jiangxi, 341000, China

    Falu Weng & Ji Ge

Authors
  1. Yuanchun Ding
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  2. Falu Weng
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  3. Minkang Tang
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  4. Ji Ge
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Corresponding author

Correspondence to Falu Weng.

Additional information

Supported by: National Natural Science Foundation under Grant No. 61305019 & 51365017, Jiangxi Provincial Natural Science Foundation under Grant No. GJJ13430 & GJJ13385, and the Natural Science Foundation of Jiangxi University of Science and Technology of China under Grant No. NSFJ2014-K16

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Ding, Y., Weng, F., Tang, M. et al. Active vibration-attenuation controller design for uncertain structural systems with input time-delay. Earthq. Eng. Eng. Vib. 14, 477–486 (2015). https://doi.org/10.1007/s11803-015-0038-x

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  • DOI: https://doi.org/10.1007/s11803-015-0038-x

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