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Robust non-fragile sampled-data control for offshore steel jacket platforms

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Abstract

This paper is concerned with the non-fragile sampled-data control problem for an offshore platform subject to parametric perturbations of the system and admissible gain variations of the controller. By purposefully introducing a time-varying time-delay into control channel, designing a sampled-data controller for the original system is transformed into synthesizing a state feedback controller for a time-varying time-delay system. A sufficient condition on the existence of a robust non-fragile sampled-data controller is derived. Then, a robust non-fragile sampled-data controller is designed and its effectiveness is investigated based on the simulation results. It is demonstrated that (1) the designed non-fragile sampled-data controller is capable of reducing the oscillation amplitudes of the floors of the offshore platform system significantly; and (2) compared with the robust sampled-data controller and the classical robust controller as well as the robust delayed controller, the oscillation amplitudes of the floors of the system under the three controllers are almost at the same level, while the control force required by the robust sampled-data controller is less than the one by the continuous-time controllers.

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Acknowledgments

This work was supported by the Natural Science Foundation of China under Grants 61379029 and 41276085, the Academic Climbing Foundation of Youth Discipline Leaders of Universities in Zhejiang Province under Grant PD2013190, the Australian Research Council Discovery Project under Grant DP1096780.

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Authors and Affiliations

  1. College of Science, China Jiliang University, Hangzhou, 310018, Zhejiang, People’s Republic of China

    Bao-Lin Zhang & Mao-Mao Meng

  2. Griffith School of Engineering, Griffith University, Gold Coast Campus, QLD, 4222, Australia

    Qing-Long Han & Xian-Ming Zhang

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  1. Bao-Lin Zhang
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  2. Mao-Mao Meng
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  3. Qing-Long Han
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  4. Xian-Ming Zhang
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Correspondence to Bao-Lin Zhang or Qing-Long Han.

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Zhang, BL., Meng, MM., Han, QL. et al. Robust non-fragile sampled-data control for offshore steel jacket platforms. Nonlinear Dyn 83, 1939–1954 (2016). https://doi.org/10.1007/s11071-015-2457-7

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  • DOI: https://doi.org/10.1007/s11071-015-2457-7

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