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Robust non-fragile control for offshore steel jacket platform with nonlinear perturbations

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Abstract

This study is concerned with the design of a non-fragile controller for an offshore steel jacket platform with nonlinear perturbations. The delay-dependent sufficient conditions are derived in terms of linear matrix inequalities based on suitable Lyapunov–Krasovskii functional, the second-order reciprocally convex approach and the lower bound lemma. The results indicate asymptotic stability of the offshore steel jacket platform utilizing the proposed non-fragile controller. Besides that, robust stability conditions are derived for an uncertain offshore platform subject to the non-fragile controller. A numerical example is given to illustrate the effectiveness of the proposed theoretical results.

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Authors and Affiliations

  1. Department of Mathematics, Bharathiar University, Coimbatore, 641 046, Tamilnadu, India

    K. Sivaranjani & R. Rakkiyappan

  2. Center for Intelligent Systems Research, Geelong Waurn Ponds Campus, Deakin University, Victoria, Australia

    S. Lakshmanan & C. P. Lim

Authors
  1. K. Sivaranjani
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  2. R. Rakkiyappan
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  3. S. Lakshmanan
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  4. C. P. Lim
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Correspondence to R. Rakkiyappan.

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Sivaranjani, K., Rakkiyappan, R., Lakshmanan, S. et al. Robust non-fragile control for offshore steel jacket platform with nonlinear perturbations. Nonlinear Dyn 81, 2043–2057 (2015). https://doi.org/10.1007/s11071-015-2124-z

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  • DOI: https://doi.org/10.1007/s11071-015-2124-z

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